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href="//www.newsama.com/journals/js/" aria-label="Journal of Sensors">杂志上的传感器</a>/<a class="sc-htpNat bUhGXt link sc-eitiEO jXeALb breadCrumb" href="//www.newsama.com/journals/js/contents/year/2019/" aria-label="2019">2019年</a>/<span class="sc-bhlBdH UVThf">文章</span> </div> <div class="threeColumn__ThreeColumnWrapper-sc-1bf4078-0 dDyxFF threeColumnWrapper"> <div class="threeColumn__LeftWrapper-sc-1bf4078-1 fkVFlF leftWrapper"> <button type="button" class="sc-eKZiaR dzZrgS section__button " id="sectionButton"><span class="sc-htoDjs diutvq icon__dots dots__detector icon-colored _3n-7Ho7DlfjMlZbrRr9Q4a icon-themeable" title="" font-size="22"></span>文章部分</button> <div class="sc-bEjcJn jLUVhb static_contents__section_links links__hidden "> <div id="leftSectionMenu" class="sc-cbkKFq prcY sc-bGbJRg dVCLgr left_section_menu"> <p>在这一页上</p> <span class="sc-likbZx bBmZJZ grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-ePZHVD ewHMLz" href="#abstract" 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content"> <div class="articleContent__ArticleContentsWrapper-sc-2yl9jy-0 eSvjPB article_contents"> <div class="articleContent__ArticleContentsSectionsWrapper-sc-2yl9jy-1 jntdRu article_contents__sections_wrapper"> <div class="articleContent__ArticleWrapper-sc-2yl9jy-2 hAzjHP"> <div class="sc-chbbiW mBGSe article_header_class"> <p class="sc-kZmsYB bkiEfx article_type">研究文章|开放获取</p> <div class="sc-RcBXQ ztvYg article_citation"> 体积 2019年 <span class="sc-fZwumE cUsFHx">|</span>文章的ID 7409329 <span class="sc-fZwumE cUsFHx">|</span> <a class="sc-htpNat bUhGXt link sc-fQejPQ duuwge" href="https://doi.org/10.1155/2019/7409329" aria-label="Doi-link">https://doi.org/10.1155/2019/7409329</a> </div> <div class="sc-LKuAh lcOiDF article_full_citation"> <div class="sc-hzNEM gsmOCv isHide"> <p>伊曼纽尔Garcia-Gonzalez,胡安·c·Chimal-Eguia马里奥•e . Rivero-Angeles Vicent解放军, ”<span class="adjust-article-svg-size">图表的使用在无线传感器网络中,节点连接的充满敌意的环境中</span>”,<i>杂志上的传感器</我>, 卷。2019年, 文章的ID7409329, 22   页面, 2019年。 https://doi.org/10.1155/2019/7409329</p> </div> <button class="sc-hSdWYo etauus sc-iBEsjs kPshFw" color="">显示引用</button> </div> <h1 class="sc-iRbamj jZOxOO sc-iSDuPN dULHFk article_title adjust-article-svg-size heading-title">图表的使用在无线传感器网络中,节点连接的充满敌意的环境中</h1> </div> <div class="sc-jrIrqw eHMFfo article_authors"> <hr class="sc-cEvuZC XkrFe hr__author"> <span class="">伊曼纽尔Garcia-Gonzalez,<sup>1</sup></span> <span class="">胡安·c·Chimal-Eguia,<sup>1</sup></span> <span class=""><b>马里奥·e·Rivero-Angeles</b><a class="sc-htpNat bUhGXt link" href="mailto:" aria-label="Mail Option"><span class="sc-htoDjs kNoiZu sc-hjRWVT irNWJI icon-colored _2zt-1j0LmaF8UjTQAM413G icon-themeable" title="" font-size="16"></span></a><a class="sc-htpNat bUhGXt link" href="https://orcid.org/0000-0003-1020-6806" aria-label="Redirect to Doi" target="_blank"><img alt="" class="sc-EHOje iiusBg sc-iybRtq iQSObO" title="" role="presentation" src="data:image/svg+xml;base64,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" height="16"></a>,<sup>2</sup> 和</span> <span class="">Vicent解放军<a class="sc-htpNat bUhGXt link" href="https://orcid.org/0000-0002-0894-9494" aria-label="Redirect to Doi" target="_blank"><img alt="" class="sc-EHOje iiusBg sc-iybRtq iQSObO" title="" role="presentation" src="data:image/svg+xml;base64,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" height="16"></a><sup>3</sup></span> <div class="sc-fHxwqH dMuGGA isHide"> <p><sup>1</sup><span>仿真和建模实验室CIC-Instituto Politecnico Nacional(墨西哥城,墨西哥</span></p> <p><sup>2</sup><span>网络和数据科学实验室,CIC-Instituto Politecnico Nacional(墨西哥城,墨西哥</span></p> <p><sup>3</sup><span>大学为瓦伦西亚,瓦伦西亚,西班牙</span></p> </div> <button class="sc-hSdWYo etauus sc-iQtOjA kfDwZY" color="">显示更多</button> </div> <div class="articleContent__EditorWrapper-sc-2yl9jy-3 evMkvU"> <div class="articleContent__TextWrapper-sc-2yl9jy-8 fYrLtk"> <b>学术编辑器:</b>耶稣Lozano</d我v> <div class="articleContent__PublicationTimeLineWrapper-sc-2yl9jy-4 fjviok"> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC notPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">收到了</span> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2019年5月09</span> </div> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC notPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">接受</span> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2019年7月26日</span> </div> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC isPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">发表</span> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2019年11月19日</span> </div> </div> </div> <article class="sc-jtRlXQ cwITDy article_body "> <div> <div class="xml-content"> <h4 class="header" id="abstract">文摘</h4> <p>无线传感器网络(网络)都进行了广泛的研究在文献中。然而,在充满敌意的环境中节点连接是严重受损,可以极大地影响系统性能。在这项工作中,我们考虑这样的一个充满敌意的环境中,传感器节点不能直接沟通一些邻近的节点。在此基础上,我们提出了一个分布式数据采集方案,数据包存储在不同的节点在整个网络来考虑一个水槽节点。因此,如果节点被破坏或损坏,仍然可以获取一些信息。评估系统的性能,我们认为不同图形的属性描述节点之间的连接。结果表明,图的度分布对系统的性能有重要影响。话务分析开发研究缓冲区大小平均和平均分组延迟。为此,我们提出一个<我>参考节点</我>方法,它需要一个近似的数学建模这些网络,有效地简化了分析和近似系统的整体性能。</p> <span class="end-abs"></span> <h4 id="introduction">1。介绍</h4> <p>无线传感器网络部署监控特定的物理变量对于许多应用程序,如动物跟踪森林、建筑结构健康监测,甚至动态医疗监测身体区域网络。然而,在一些敌对的环境中,传感器节点放置在不利的情况下,他们不能直接邻近节点由于沟通障碍,干扰,噪音,甚至基于拒绝服务攻击技术,影子一些特定的节点之间的连接。基于这一事实,剩下的拓扑(节点)之间的连接网络成为相关。在这项工作中,我们研究系统的性能的基础上,利用图论特定的网络拓扑。图可以描述许多性质如度分布(d . d),定义为一个节点度的概率分布在整个网络;聚类系数(c . c),定义为节点的程度的测量图往往聚集在一起;密度定义为现有边缘图的分数相比,一个完整的图形;平均距离(公元),定义为步骤的平均数量在所有可能的节点对的最短路径图;和直径,这是最长的最短路径。从这些,度分布的极大兴趣。 Indeed, this is a property that captures, to a large extent, the essence of the form of the graphs that share the same type of distribution.</p> <p>图形属性已经被使用之前的文献研究系统的性能。例如,在[<a href="#B1">1</a>),作者使用了两种类型的图表,随机几何和集群图,为了选择传感器节点的位置。在节点定位,在<a href="#B2">2</a>),提出了网络节点的定位估计的使用刚性的概念图。然而,在这些作品中,平均的影响图的属性缓冲区大小和封包延迟还没有被研究过。图论中使用(<a href="#B3">3</a>)减少干扰资源分配方案使用图的最大独立集的概念。然而,在这项工作,系统的拓扑结构并不认为,因为只有小明星网络进行了研究。</p> <p>此外,在这样充满敌意的环境中,传感器节点容易受到损害也减少了数据采集效率(<a href="#B4">4</a>- - - - - -<a href="#B6">6</a>]。此外,当干扰水平高或干扰的情况下攻击(<a href="#B7">7</a>),节点不能沟通水槽节点可能会发现在监控区域。如果紧急救援人员依靠从节点系统中检索信息,这就变成了一个主要问题因为某些节点可能断开水槽节点并不能帮助警察,军人、或消防队员在他们的特定的操作。因此,我们建议传感器节点发送信息的特定环境系统中的其他节点,而不是一个水槽节点一般网络提出了。因此,数据没有发送到单个传感器节点可能遥不可及,不许多节点甚至破坏。相反,我们考虑一个场景:传感器的信息发送给其他节点的兴趣在一个特定的区域选择之前安装的传感器网络。例如,网络管理员可能感兴趣从北部传送信息的监视区东部地区,或从一个特定的建筑的一层到另一个相关的地板上。通过这种方式,紧急救援人员,通过接近传感器节点可以检索相关信息系统的条件在不同的区域。</p> <p>例如,考虑网络图中描述<a href="//www.newsama.com/journals/js/2019/7409329/fig1/" target="_blank">1</a>。在这种情况下,节点部署在受影响消防协助人员救援行动。由于障碍和火本身,节点只能连接到一个网络中其他节点。这些联系可以被描述为一个无向图具有以下特点:(a),它必须是一个简单的图,即。,一对节点最多可以连接一个边缘和(b)它必须连接。通过了解这个图的性质,网络管理员可以预先知道系统的性能而言,平均缓冲区大小和平均分组延迟。因此,他们可以决定是否需要更多的节点,以提高监测能力甚至几节点在非常特定的地区改变或改善基本图,因此减少分组延迟。相反,当一个传感器节点可以与所有邻居节点通信,即。,there are no physical impediments (obstacles, interference, or cyberattacks) for nodes to directly send packets to any other node in its communication range, a random geometric graph or a unit disk graph can accurately describe the topology of the network. In Figure<a href="//www.newsama.com/journals/js/2019/7409329/fig2/" target="_blank">2</a>这种情况下,我们礼物。这个图具有以下特点:这是一组单元的相交图磁盘在欧氏平面上,即。,我t我s a graph with one vertex for each disk in the set, and there is an edge between two vertices as long as the corresponding vertices lie within a unit distance of each other.</p> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig1"> <div class="floats-partial-content fig-content-fig1"> <div class="partial-carousel--single-image"> <img alt="" name="7409329.fig.001" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.001.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图1</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/fig1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 充满敌意的环境网络图。黄色箭头表示实际网络链接,红色虚线箭头表示由于环境条件失效链接。</d我v> </div> </div> </div> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig2"> <div class="floats-partial-content fig-content-fig2"> <div class="partial-carousel--single-image"> <img alt="" name="7409329.fig.002" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.002.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图2</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/fig2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 单位圆盘图中节点之间的连接拓扑。</d我v> </div> </div> </div> <p>网络的性能在敌对的环境中研究了在文献中。例如,在[<a href="#B4">4</a>,<a href="#B5">5</a>),节点可能发现自己断开网络的其余部分由于这样的充满敌意的环境中导致不可靠的链接。为了解决这个问题,作者提出使用移动数据运营商暂时提供连接到其他节点。与这项工作,我们不考虑节点断开的情况,即,we assume that all nodes remain connected either directly or indirectly to all other nodes in the system. Hence, we do not focus on the problem of reconnecting parts of the network. In [<a href="#B6">6</a>),不可靠的链接使用一个开/关的过程建模和作者研究网络的拓扑节点相关学位。与这项工作,我们认为不可靠的链接是没有实际使用的整个操作系统。此外,(<a href="#B6">6</a>)不考虑图论来推断系统的性能而言,平均缓冲区大小也不封包延迟。最后,在[<a href="#B7">7</a>),由于直接干扰网络攻击链接是不可靠的。作者提出一个统计方法来检测这种攻击可能导致系统断开连接的部分。与这项工作,我们不关注检测这样的攻击,因为我们假设在敌对环境中操作只是简短的操作时间和网络用于援助工作领域。注意,网络攻击检测需要大量的时间;因此,我们认为,没有真正获得检测这些DoS(拒绝服务)攻击以来这些应用程序前的救援行动可能在攻击检测。本文的主要贡献如下:<span class="list"><span class="list-item"><span class="list-label">(我)</span><span class="list-content">研究传感器网络在敌对的环境中,评估和分析。在这种情况下,敌意是双重的:对于一个部分,它可以防止节点连接到邻居节点,其次,由于节点容易出现故障,甚至破坏,收集信息传播在整个网络,而不是一个水槽节点</span></span><span class="list-item"><span class="list-label">(2)</span><span class="list-content">我们使用的属性图的拓扑描述为了系统地确定系统的性能对不同的系统条件来说是足够的。因此,网络管理员可以使用一个特定的图(通过改变节点的位置或数量的节点)来实现一个目标性能指标</span></span><span class="list-item"><span class="list-label">(3)</span><span class="list-content">一个近似数学分析是研究开发WSN是这样一个敌对的状态,也可以用于其他应用程序相似的连接属性</span></span></span></p> <p>剩下的纸是组织如下:在部分<a href="#sec2">2</a>,我们现在的主要假设和影响学习系统。然后,部分<a href="#sec3">3</a>细节图生成过程和主要属性。数学分析是开发的部分<a href="#sec4">4</a>基于离散时间马尔可夫链(DTMC)。最后,本文的结论提出相关的数值结果和结论。</p> <h4 id="system-model">2。系统模型</h4> <p>我们现在描述的主要假设和参数考虑这项工作。同时,提出了通用的操作系统。</p> <p>节点是均匀放置在监控区域,根据特定的拓扑连接到他们的邻居节点考虑到许多直接无线连接不可靠,即。,there are many obstacles, interference, and/or noise in the path between two neighbor nodes (nodes geographically close to each other such that they are in the theoretical communication range) but they cannot directly communicate among them. As such, only some connections are practical among nodes in the network. These connections in the system can be described by graphs with specific characteristics.</p> <p>节点不直接传输到汇聚节点,<我>传统的</我>轮。相反,数据包包含信息从系统中监控现象被传输到其他节点。事实上,因为我们正在考虑部署的节点在敌对的环境中,我们建议在节点的冗余故障或破坏。此外,这个数据传播机制允许更快的报告数据可以在感兴趣的领域,例如,在受影响火灾或战术军事行动监控区域内的人员不断移动,需要信息一定条件下其他地方的战术操作。这样,一名消防队员穿越北部地区直接连接到一个节点放置在那个区,可以直接从东部地区相关信息没有连接到水槽节点可能遥不可及。在此基础上,节点生成新的数据包的概率<svg height="9.39034pt" id="M1" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.13289 9.39034" width="7.13289pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M516 277C516 378 460 448 376 448C335 448 288 434 240 401C158 345 127 277 107 159C53 -161 38 -221 23 -247L28 -261C43 -260 95 -250 114 -226C122 -216 129 -199 146 -75C152 -29 157 0 164 31C182 9 206 -12 237 -12C267 -12 325 8 376 46C451 102 516 179 516 277ZM432 259C432 134 366 40 259 40C236 40 204 48 171 76L195 203C219 327 253 400 326 400C398 400 432 336 432 259Z" id="g113-239"></path> </g> </svg>提前向特定的节点选择,这取决于系统的条件。这些数据包路由使用的最短路径路由协议来传达数据从源节点到目标节点通过中间节点使用可用的拓扑。另一方面,数据包传输的概率<span class="nowrap"> <svg height="6.1673pt" id="M2" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 6.40217 6.1673" width="6.40217pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M471 456L444 459C426 433 414 430 388 430C324 430 270 434 216 434C103 434 51 374 23 338L43 317C96 366 146 380 221 375L154 109C149 86 147 68 147 52C147 4 168 -12 197 -12C240 -12 291 25 334 71L320 96C295 75 268 58 252 58C238 58 227 79 238 138C251 211 272 296 292 372C310 372 332 368 350 368C391 368 421 369 434 371C444 388 455 413 471 456Z" id="g113-241"></path> </g> </svg>。</span></p> <p>从这个描述,我们现在可以有一个通用的系统操作。一旦节点部署在充满敌意的环境中,网络管理员选择一双连接节点,直接或通过多次反射,期间彼此的操作,就像一个火,人质的情况下,和工业监控。此时,系统操作参数可以精心挑选考虑网络中节点的数量和具体图所描述的可用节点之间的连接。具体来说,通过观察节点的拓扑结构,可以计算图的程度及其概率分布可以推断。然后,的值<svg height="9.39034pt" id="M3" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.13289 9.39034" width="7.13289pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-239"></use> </g> </svg>和<svg height="6.1673pt" id="M4" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 6.40217 6.1673" width="6.40217pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-241"></use> </g> </svg>可以使用数学方法精心选择开发的以下部分为了计算平均缓冲区大小和所有这些参数的分组延迟。因此,网络操作可以在发达国家和它可以提高如果需要通过添加附加节点甚至改变某些节点的位置来改变图的拓扑结构。</p> <p>上述分析考虑<我>参考</我>节点为了简化复杂性。事实上,在基础上,允许多个目的地节点被认为是和多次反射传输,交通可能是非常不同的在不同的节点,交通状况依赖于路由协议和网络拓扑结构。通过考虑一个参考节点,我们只能专注于一个缓冲的行为。然而,参考节点可以代表最坏的情况,因为我们认为这个引用节点的节点作为中继节点(中间节点)。我们的数学分析是一个真实系统的近似条件下,我们假设这个引用节点的邻居节点也有类似的交通状况,因此,类似的数据包到达概率。这些假设的有效性和近似的准确性验证对系统仿真结果的比较。</p> <h4 id="graph-generation">3所示。图一代</h4> <p>在本节中,我们详细解释图形生成过程,描述了网络中节点之间的连接。具体来说,我们专注于生成简单和连接图(也称为严格图(<a href="#B8">8</a>)这是一个无关紧要的,无向图不含图循环或多个边缘(<a href="#B9">9</a>,<a href="#B10">10</a>])与一定程度分布。记得与不可靠的网络链接,我们有兴趣调查的影响图的属性描述节点的连接,系统的性能。</p> <h5 id="sec3.1">3.1。图形化的度序列生成</h5> <p>获得学位序列(非负整数的列表为每个顶点图的州有多少邻居)简单的连接图也遵循某种程度上分布,我们首先定义图的节点的数目,也称为序列图的。之后,我们遵循下面的步骤:(a)伪随机数生成,(b)生成的数字序列的离散化,(c)检查度序列的简单性,(d)潜在连接图形的序列,和(e)强行1-connected图形序列。现在我们详细描述这些步骤。</p> <p>为了研究不同的概率分布的影响的程度图,选择分布如下:<span class="list"><span class="list-item"><span class="list-label">(我)</span><span class="list-content">二项分布</span></span><span class="list-item"><span class="list-label">(2)</span><span class="list-content">指数分布</span></span><span class="list-item"><span class="list-label">(3)</span><span class="list-content">极端值分布</span></span><span class="list-item"><span class="list-label">(iv)</span><span class="list-content">正态分布</span></span><span class="list-item"><span class="list-label">(v)</span><span class="list-content">幂律分布</span></span><span class="list-item"><span class="list-label">(vi)</span><span class="list-content">离散均匀分布</span></span></span></p> <p>这些随机数生成使用c++语言中的本地库的唯一例外的幂律分布。对于这种情况,概率密度函数(pdf)中描述的使用(<a href="#B11">11</a>]。</p> <p>现在,对于生成的数字序列的离散化,我们简单地选择<我>轮</我>或者是<我>装天花板</我>功能。对特定参数的分布,我们可能得到值低于0<我>。</我>5,它将成为0如果我们只使用<我>轮</我>函数。见下一个分段,这将导致我们nonconnected图。在这些情况下,我们使用<我>装天花板</我>函数。在这一点上,我们有一个整数序列的长度<span class="nowrap"> <svg height="6.1673pt" id="M5" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 6.6501 6.1673" width="6.6501pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M495 86L479 114C446 82 419 66 409 66C401 66 401 72 406 97C420 166 436 231 453 297C489 435 454 448 428 448C406 448 384 439 354 422C305 394 222 327 161 247H159L183 345C200 415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z" id="g113-111"></path> </g> </svg>。</span></p> <p>然后,简单的度序列进行验证。如前所述,这是一个重要的要求得到整数序列的前一步中形成一个简单的图。为了达到这个目标,我们保证随机序列符合Havel-Hakimi定理的条件(<a href="#B12">12</a>,<a href="#B13">13</a>)如下:</p> <p><span class="statement" id="thm1"><span class="statement-title">定理1。</span><i>让<span class="inline_break"> <svg height="12.5794pt" id="M6" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 17.399 12.5794" width="17.399pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M449 634C442 637 425 643 405 650C376 660 341 666 307 666C181 666 98 590 98 485C98 400 170 343 215 310L246 288C307 243 343 204 343 147C343 67 291 18 219 18C104 18 61 124 51 202L23 199C28 124 27 71 27 47C47 22 122 -16 204 -16C324 -16 428 60 428 174C428 256 379 309 307 360L276 382C223 419 179 455 179 516C179 576 221 632 293 632C379 632 410 564 418 487L448 490C446 536 446 592 449 634Z" id="g113-84"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.768,0)"> <path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z" id="g117-34"></path> </g> </svg><span class="irelop"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="20.9811838 -9.28833 19.558 12.5794" width="19.558pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,21.031,0)"> <path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z" id="g113-41"></path> </g> <g transform="matrix(.013,0,0,-0.013,25.529,0)"> <path d="M530 686C535 705 530 712 521 712C504 712 448 684 359 674L358 648H393C437 648 439 646 429 593L400 435C372 447 345 448 332 448C286 448 194 414 144 373C68 311 23 203 23 111C23 26 57 -12 91 -12C120 -12 147 3 188 29C227 54 290 102 341 170H343L322 71C308 6 320 -12 341 -12C373 -12 442 27 501 96L485 120C455 91 422 67 408 67C401 67 401 76 404 91C440 294 479 473 530 686ZM387 375L355 241C326 187 200 53 142 53C126 53 109 73 109 130C109 217 154 337 218 381C240 396 265 404 297 404S372 390 387 375Z" id="g113-101"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,32.679,3.132)"> <path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z" id="g50-50"></path> </g> <g transform="matrix(.013,0,0,-0.013,37.625,0)"> <path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z" id="g113-45"></path> </g> </svg><span class="ipunc"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="42.7181838 -9.28833 15.061 12.5794" width="15.061pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,42.768,0)"> <use xlink:href="#g113-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,49.918,3.132)"> <path d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 44 433 88 446 135L414 144Z" id="g50-51"></path> </g> <g transform="matrix(.013,0,0,-0.013,54.865,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="59.9581838 -9.28833 20.606 12.5794" width="20.606pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,60.008,0)"> <path d="M170 255C170 288 146 313 114 313S58 288 58 255C58 221 82 198 114 198S170 221 170 255Z" id="g113-46"></path> </g> <g transform="matrix(.013,0,0,-0.013,65.151,0)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,70.294,0)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,77.65,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="82.74318380000001 -9.28833 17.121 12.5794" width="17.121pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,82.793,0)"> <use xlink:href="#g113-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,89.943,3.132)"> <path d="M504 89L488 119C453 85 428 69 416 69C408 69 405 75 412 102L462 304C492 438 460 451 436 451S388 441 356 423C311 397 229 336 170 256H168L189 340C208 418 200 451 177 451C144 451 82 413 24 352L40 322C65 345 98 369 108 369C114 369 119 363 112 335L28 -3L36 -12C54 -3 83 4 112 10C125 73 138 122 153 174C205 258 328 382 376 382C395 382 399 369 384 305L330 93C312 25 323 -12 351 -12C378 -12 439 21 504 89Z" id="g50-111"></path> </g> <g transform="matrix(.013,0,0,-0.013,95.118,0)"> <path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z" id="g113-42"></path> </g> </svg></span>是一个有限的非负整数列表nonincreasing秩序。</我><span class="list"><span class="list-item"><span class="list-label">(1)</span><span class="list-content"><i>列表<svg height="8.8423pt" id="M7" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 6.25863 8.8423" width="6.25863pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-84"></use> </g> </svg>图形当且仅当的总和吗<我>d<sub>我</sub></i>是偶数,<span class="inline_break"> <svg height="12.4698pt" id="M8" style="vertical-align:-3.18147pt" version="1.1" viewbox="-0.0498162 -9.28833 23.359 12.4698" width="23.359pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.15,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.728,0)"> <path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z" id="g117-92"></path> </g> </svg><span class="irelop"></span><span class="nowrap"> <svg height="12.4698pt" style="vertical-align:-3.18147pt" version="1.1" viewbox="26.9411838 -9.28833 32.912 12.4698" width="32.912pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,26.991,0)"> <path d="M162 -163V703H101V-163H162Z" id="g113-9"></path> </g> <g transform="matrix(.013,0,0,-0.013,30.41,0)"> <use xlink:href="#g113-84"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.546,0)"> <use xlink:href="#g113-9"></use> </g> <g transform="matrix(.013,0,0,-0.013,42.871,0)"> <path d="M535 230V280H52V230H535Z" id="g117-33"></path> </g> <g transform="matrix(.013,0,0,-0.013,53.407,0)"> <path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z" id="g113-50"></path> </g> </svg>,</span></span>和有限的列表<span class="inline_break"> <svg height="14.9921pt" id="M9" style="vertical-align:-3.4007pt" version="1.1" viewbox="-0.0498162 -11.5914 22.345 14.9921" width="22.345pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-84"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.136,-5.741)"> <path d="M245 635C92 635 37 457 37 312C37 149 91 -12 244 -12C395 -12 449 166 449 312C449 469 395 635 245 635ZM243 598C332 598 358 454 358 312C358 173 334 26 245 26C158 26 128 174 128 313S152 598 243 598Z" id="g50-49"></path> </g> <g transform="matrix(.013,0,0,-0.013,14.714,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="14.9921pt" style="vertical-align:-3.4007pt" version="1.1" viewbox="25.9271838 -11.5914 39.241 14.9921" width="39.241pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,25.977,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.475,0)"> <use xlink:href="#g113-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,37.625,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,45.477,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,56.014,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,62.254,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="14.9921pt" style="vertical-align:-3.4007pt" version="1.1" viewbox="67.34718380000001 -11.5914 34.742 14.9921" width="34.742pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,67.397,0)"> <use xlink:href="#g113-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,74.547,3.132)"> <path d="M290 377C321 398 342 415 358 430C378 450 389 473 389 502C389 578 329 635 238 635H237C184 635 137 610 109 578L64 515L88 493C112 529 154 573 208 573S303 542 303 482C303 409 233 370 141 341L149 308C165 313 190 319 215 319C272 319 341 283 341 193C342 98 292 43 222 43C163 43 122 72 96 94C88 101 79 100 70 94C61 87 47 73 46 60C44 47 48 37 62 23C76 10 118 -12 165 -12C238 -12 430 62 430 223C430 297 379 359 290 375V377Z" id="g50-52"></path> </g> <g transform="matrix(.013,0,0,-0.013,82.399,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,92.935,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,99.175,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="14.9921pt" style="vertical-align:-3.4007pt" version="1.1" viewbox="104.2681838 -11.5914 20.606 14.9921" width="20.606pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,104.318,0)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,109.462,0)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,114.605,0)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,121.96,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="14.9921pt" style="vertical-align:-3.4007pt" version="1.1" viewbox="127.0531838 -11.5914 49.924 14.9921" width="49.924pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,127.103,0)"> <use xlink:href="#g113-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,134.253,3.132)"> <path d="M538 684C542 703 539 710 529 710C512 710 455 682 363 674L361 644H396C444 644 448 642 438 594L405 438C373 450 347 451 336 451C288 451 200 416 147 374C69 312 24 207 24 113C24 29 60 -12 94 -12C126 -12 156 4 196 30C231 53 296 100 346 166H348L328 81C311 10 325 -12 348 -12C380 -12 450 24 512 98L495 125C466 97 431 70 417 70C408 70 408 80 411 98L538 684ZM390 373L361 240C336 196 210 56 145 56C132 56 113 73 113 131C113 216 156 338 220 379C243 394 266 402 303 402C331 402 375 388 390 373Z" id="g50-101"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,139.386,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,143.818,3.132)"> <path d="M556 236V289H337V504H275V289H56V236H275V-4H337V236H556Z" id="g54-36"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,149.378,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,157.286,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,167.823,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,174.063,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="14.9921pt" style="vertical-align:-3.4007pt" version="1.1" viewbox="179.15618379999998 -11.5914 30.241 14.9921" width="30.241pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,179.206,0)"> <use xlink:href="#g113-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,186.356,3.132)"> <use xlink:href="#g50-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,191.488,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,195.92,3.132)"> <use xlink:href="#g54-36"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,201.48,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,206.483,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="14.9921pt" style="vertical-align:-3.4007pt" version="1.1" viewbox="211.5761838 -11.5914 20.606 14.9921" width="20.606pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,211.626,0)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,216.769,0)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,221.912,0)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,229.268,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="14.9921pt" style="vertical-align:-3.4007pt" version="1.1" viewbox="234.3611838 -11.5914 17.364 14.9921" width="17.364pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,234.411,0)"> <use xlink:href="#g113-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,241.561,3.132)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,246.736,0)"> <use xlink:href="#g113-42"></use> </g> </svg></span>非负整数和图形吗</我></span></span><span class="list-item"><span class="list-label">(2)</span><span class="list-content"><i>列表排序nonincreasing顺序在每个迭代中如果必要的</我></span></span><span class="list-item"><span class="list-label">(3)</span><span class="list-content"><i>步骤1和2将被应用<svg height="8.69875pt" id="M10" style="vertical-align:-0.3499298pt" version="1.1" viewbox="-0.0498162 -8.34882 26.3841 8.69875" width="26.3841pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.432,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.968,0)"> <use xlink:href="#g113-50"></use> </g> </svg>次,设置在每一步<span class="inline_break"> <svg height="11.7978pt" id="M11" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -11.5914 17.399 11.7978" width="17.399pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-84"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.768,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="11.7978pt" style="vertical-align:-0.2063999pt" version="1.1" viewbox="20.9811838 -11.5914 11.256 11.7978" width="11.256pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,21.031,0)"> <use xlink:href="#g113-84"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,27.167,-5.741)"> <use xlink:href="#g50-49"></use> </g> </svg></span></i></span></span><span class="list-item"><span class="list-label">(4)</span><span class="list-content"><i>如果在任何时候有负数或列表<span class="inline_break"> <svg height="12.4698pt" id="M12" style="vertical-align:-3.18147pt" version="1.1" viewbox="-0.0498162 -9.28833 23.359 12.4698" width="23.359pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.15,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.728,0)"> <use xlink:href="#g117-92"></use> </g> </svg><span class="irelop"></span><span class="nowrap"> <svg height="12.4698pt" style="vertical-align:-3.18147pt" version="1.1" viewbox="26.9411838 -9.28833 32.912 12.4698" width="32.912pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,26.991,0)"> <use xlink:href="#g113-9"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.41,0)"> <use xlink:href="#g113-84"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.546,0)"> <use xlink:href="#g113-9"></use> </g> <g transform="matrix(.013,0,0,-0.013,42.871,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,53.407,0)"> <use xlink:href="#g113-50"></use> </g> </svg>,</span></span>定理证明了列表<svg height="8.8423pt" id="M13" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 6.25863 8.8423" width="6.25863pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-84"></use> </g> </svg>从一开始就不是图形</我></span></span><span class="list-item"><span class="list-label">(5)</span><span class="list-content"><i>否则,如果整个列表<svg height="11.7978pt" id="M14" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -11.5914 11.2051 11.7978" width="11.2051pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-84"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.136,-5.741)"> <use xlink:href="#g50-49"></use> </g> </svg>由0,那么列表<svg height="8.8423pt" id="M15" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 6.25863 8.8423" width="6.25863pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-84"></use> </g> </svg>从一开始是图形和过程结束</我></span></span></span><i></i></span></p> <p>定理<a href="#thm1">1</a>只有保证序列属于一个简单的图,但现在我们验证连接。一个潜在的连接度序列<svg height="8.8423pt" id="M16" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 6.25863 8.8423" width="6.25863pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-84"></use> </g> </svg>是,所有的图的度序列是什么<我>年代</我>,至少其中一个连接。换句话说,如果我们想要建立一个图<span class="nowrap"> <svg height="8.8423pt" id="M17" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 6.25863 8.8423" width="6.25863pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-84"></use> </g> </svg>,</span>我们确信存在一个配置图的连接。为了检查是否有一个简单的连通图与我们迄今为止,整数序列的定理<a href="#thm2">2</a>(<a href="#B14">14</a>]。</p> <p><span class="statement" id="thm2"><span class="statement-title">定理2。</span><i>让<span class="inline_break"> <svg height="12.5794pt" id="M18" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 17.399 12.5794" width="17.399pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-84"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.768,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="12.5794pt" style="vertical-align:-3.29107pt" version="1.1" viewbox="20.9811838 -9.28833 19.558 12.5794" width="19.558pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,21.031,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,25.529,0)"> <use xlink:href="#g113-101"></use> </g> <g 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</svg>。</span></span>一个存在的充分必要条件的简单连通图<我>G</我>与度序列<我>年代</我>是,<span class="equation_break" id="EEq1"><span class="left_break" id="L20"></span><span class="middle_break"><span class="center_break" id="M20"> <svg height="152.098pt" id="M20-1" version="1.1" viewbox="0 0 36.414 152.098" width="36.414pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B20-1"> <g transform="matrix(.013,0,0,-0.013,0,9.288)"> <use xlink:href="#g113-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.15,12.42)"> <use xlink:href="#g50-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.95,9.288)"> <use xlink:href="#g117-94"></use> </g> <g transform="matrix(.013,0,0,-0.013,27.21,9.288)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,33.45,9.288)"> <path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z" id="g113-47"></path> </g> </g> </svg> <svg height="152.098pt" id="M20-3" version="1.1" 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transform="matrix(.013,0,0,-0.013,10.37,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="label" height="11.44pt" id="M20-8" version="1.1" viewbox="0 0 15.458 11.44" width="15.458pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B20-8"> <g transform="matrix(.013,0,0,-0.013,0,9.25)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.25)"> <path d="M465 179V225H369V632H330C227 497 124 346 29 205V179H289V107C289 37 284 33 198 26V0H454V26C374 33 369 37 369 107V179H465ZM289 225H92C156 335 222 430 287 520H289V225Z" id="g190-166"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.96,9.25)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="alt_label" height="152.098pt" id="IL20" version="1.1" viewbox="0 0 15.52 152.098" width="15.52pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 0.7)" xlink:href="#B20-2"></use> <use transform="matrix(1 0 0 1 0 34.68)" xlink:href="#B20-4"></use> <use transform="matrix(1 0 0 1 0 80.36)" xlink:href="#B20-6"></use> <use transform="matrix(1 0 0 1 0 127.19)" xlink:href="#B20-8"></use> </svg></span></span></i></span></p> <p>因为在(<a href="#B14">14</a>),它是说,(<a href="#EEq1">3</a>)和(<a href="#EEq1">4</a>)保证简单图度序列的存在<span class="nowrap"> <svg height="8.8423pt" id="M21" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 6.25863 8.8423" width="6.25863pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-84"></use> </g> </svg>,</span>相当于Havel-Hakimi算法;我们只检查<svg height="8.8423pt" id="M22" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 6.25863 8.8423" width="6.25863pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-84"></use> </g> </svg>满足的条件(<a href="#EEq1">1</a>)和(<a href="#EEq1">2</a>)。</p> <p>算法<a href="//www.newsama.com/journals/js/2019/7409329/alg3/" target="_blank">3</a>在附录中实现了两个定理<a href="#thm1">1</a>和<a href="#thm2">2</a>条件。</p> <p>此外,我们实现一个算法,检查是否强行1-connected给定图度序列。强行1-connected序列<svg height="8.8423pt" id="M23" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 6.25863 8.8423" width="6.25863pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-84"></use> </g> </svg>这样每个图度序列是谁的<svg height="8.8423pt" id="M24" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 6.25863 8.8423" width="6.25863pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-84"></use> </g> </svg>1-connected,即。,我t做es not matter how the nodes are connected with each other, as long as the rule of<我>没有循环或多个边缘</我>是观察到的。因此,图有其节点连接最多的一个边缘有一个任何一对节点之间的路径。</p> <p>为此,我们使用一个算法基于定理<a href="#thm3">3</a>从[<a href="#B15">15</a>),定义了一个<我>充分条件</我>度序列强行<span class="nowrap"> <svg height="6.1673pt" id="M25" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 6.6501 6.1673" width="6.6501pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-111"></use> </g> </svg>- - - - - -</span>连接。我们只关心简单的图表,我们使用<span class="inline_break"> <svg height="8.55521pt" id="M26" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -8.34882 17.789 8.55521" width="17.789pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.158,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span><span class="nowrap"> <svg height="8.55521pt" style="vertical-align:-0.2063904pt" version="1.1" viewbox="21.3711838 -8.34882 6.416 8.55521" width="6.416pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,21.421,0)"> <use xlink:href="#g113-50"></use> </g> </svg>。</span></span></p> <p>重要的是要注意,这只是一个<我>充分条件</我>序列,因此,一定程度上不满足条件并不意味着这样的序列不是强行连接。完整的程序检查是否一个图像序列是强行连接的详细算法<a href="//www.newsama.com/journals/js/2019/7409329/alg4/" target="_blank">4</a>在附录中。</p> <h5 id="sec3.2">3.2。与给定的度序列建立简单的图表</h5> <p>在这一点上,我们已经有一个学位序列描述了一个简单的图,可能连接或强行连接。下一步是构建图序列。为了实现这一点,现在我们考虑Havel-Hakimi算法描述。</p> <p>该算法使用定理中描述的方法构建一个图<a href="#thm1">1</a>但添加一些额外的步骤,提供随机性(这行中可以看到2和20,洗牌的第2行增加了度的机会被分配到不同的节点在每次运行中描述4 - 8行)。算法<a href="//www.newsama.com/journals/js/2019/7409329/alg5/" target="_blank">5</a>详细的步骤需要使用这种方法构建图表。洗牌的目的在第20行有一个更深层次的原因。有时,当序列作为输入提供潜在的连接,输出图可能会断开连接,如果第20行不是补充说,它将永远是相同的,因为那种在第21行不改变元素的相对位置时,他们的价值观是相同的(<a href="#B16">16</a>]。增加的机会得到一个连通图,第20行添加,打开的可能性在多个不同的图算法的运行。</p> <p>到目前为止,我们可以产生一个图,前面提到的方法之一。然而,我们必须检查如果这样的图确实是连接使用时强行连接度序列或Chung-Lu方法。为此,我们遵循过程中给出的算法<a href="//www.newsama.com/journals/js/2019/7409329/alg1/" target="_blank">1</a>,我们首先运行一个广度优先搜索(BFS)算法在我们想要测试的图。如果BFS可达图中的每个节点,然后连接。</p> <p>在本节中,我们描述了特定的方法生成图表,描述系统中节点之间的连接。这样的连接意味着任何一对节点之间的直接路径。我们现在感兴趣的在分析传感器网络的性能,当节点连接的方式。为此,以下部分的分析模型派生。</p> <div class="floats-partial-section partial-other-wrapper" data-section="alg1"> <div class="floats-partial-content fig-content-alg1"> <table class="algorithm-group"> <tbody> <tr> <td> <table class="algorithm" id="alg1"> <tbody> <tr> <td colspan="2"><b>输入</b>:一个图<我>G</我>(<我>V E</我>)</td> </tr> <tr> <td colspan="2"><b>输出</b>:<我>真正的</我>如果<我>G</我>连接,<我>假</我>否则</td> </tr> <tr> <td colspan="2"><b>1开始</b></td> </tr> <tr> <td colspan="2"><b>2</b><i>发现</我>⟵发现的节点数量<b>BFS</b></td> </tr> <tr> <td colspan="2">算法跑过去<我>G</我>。</td> </tr> <tr> <td colspan="2"><b>3如果</b><i>发现</我>= =<svg height="11.439pt" id="M27" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 16.2148 11.439" width="16.2148pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M162 -163V703H101V-163H162Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,3.419,0)"> <path d="M697 650H468L461 623L492 619C539 613 547 605 518 546C481 471 367 264 278 116H276C239 278 197 500 186 567C180 604 185 613 226 619L252 623L260 650H24L17 623C78 617 92 613 108 533L216 -11H247C365 200 515 462 560 529C616 612 624 615 689 623L697 650Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.643,0)"> <path d="M162 -163V703H101V-163H162Z"></path> </g> </svg><b>然后</b></td> </tr> <tr> <td colspan="2"><b>4</b>返回<我>真正的</我></td> </tr> <tr> <td colspan="2"><b>5日结束</b></td> </tr> <tr> <td colspan="2"><b>其他6个</b></td> </tr> <tr> <td colspan="2"><b>7</b>返回<我>假</我></td> </tr> <tr> <td colspan="2"><b>8日结束</b></td> </tr> <tr> <td colspan="2"><b>9日结束</b></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">算法1</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/alg1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 检查图的连通性。</d我v> </div> </div> </div> <h4 id="the-mathematical-model">4所示。的数学模型</h4> <p>在本节中,我们详细描述模型的数学分析基于DTMC缓冲区长度和平均分组延迟。为此,我们建议使用一个参考节点,这是一个<我>传统的</我>节点,即。,a node in no extraordinary conditions. Like the majority of the nodes in the system, such conventional node may not be placed in the edges of the monitored area and it is not isolated from the rest of the nodes. Rather, it would have an average number of neighbor nodes and its nodes are likely to have similar traffic conditions than this reference node. The reason for this consideration is that traffic in WSNs where packets are no longer directed to a single sink node greatly depends on the network topology (given by the graphs described above) and routing algorithm, which in turns corresponds to a very complex system that could be described by a higher number of variables and states. Conversely, by focusing on only one reference node, with similar conditions to the majority of the nodes in the system, it is possible to reduce such complexity and derive close expressions for average buffer size and packet delay irrespective of the network topology and routing protocol.</p> <p>建筑,开槽非持久性载波监听多路访问(NP / CSMA协议数据包在缓冲节点传播的概率<svg height="6.1673pt" id="M28" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 6.40217 6.1673" width="6.40217pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-241"></use> </g> </svg>在一个给定的时间段。这个系统可以被描述为一个DTMC状态(<span class="nowrap"> <svg height="10.7866pt" id="M29" style="vertical-align:-2.150701pt" version="1.1" viewbox="-0.0498162 -8.6359 9.52083 10.7866" width="9.52083pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M699 368C699 549 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703 153 703 331C703 532 552 665 384 665C170 665 44 499 44 315C44 215 87 129 147 73C211 11 298 -11 355 -14C476 -99 554 -136 584 -144S664 -160 712 -159L720 -138ZM348 25C231 49 146 172 146 342C146 533 249 629 360 629C497 629 601 510 601 302C601 142 523 51 443 28C434 34 425 41 416 47L348 25Z" id="g190-82"></path> </g> <g transform="matrix(.013,0,0,-0.013,25.287,0)"> <path d="M116 412C83 412 59 388 59 355C59 321 83 297 115 297S170 321 170 355C170 388 147 412 116 412ZM114 -12C147 -12 171 11 171 46C171 78 147 103 115 103C84 103 60 78 60 46C60 11 84 -12 114 -12Z" id="g113-59"></path> </g> </svg><span class="ipunc"></span> <svg height="13.945pt" style="vertical-align:-4.65667pt" version="1.1" viewbox="31.8331838 -9.28833 17.503 13.945" width="17.503pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,31.883,0)"> <path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z" id="g113-49"></path> </g> <g transform="matrix(.013,0,0,-0.013,41.755,0)"> <use xlink:href="#g117-93"></use> </g> </svg><span class="irelop"></span> <svg height="13.945pt" style="vertical-align:-4.65667pt" version="1.1" viewbox="52.9681838 -9.28833 14.165 13.945" width="14.165pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,53.018,0)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,62.404,0)"> <path d="M283 255V284C195 290 192 337 192 375C192 436 200 508 200 580C200 696 116 709 54 709V681C127 671 139 634 139 588C138 524 125 452 125 387C125 333 149 286 209 272V268C148 253 125 206 125 151C126 87 139 16 139 -47C139 -92 127 -131 54 -141V-169C115 -169 200 -152 200 -41C200 32 192 104 192 164C192 202 195 249 283 255Z" id="g113-126"></path> </g> </svg></span>如图<a href="//www.newsama.com/journals/js/2019/7409329/fig3/" target="_blank">3</a>。</p> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig3"> <div class="floats-partial-content fig-content-fig3"> <div class="partial-carousel--single-image"> <img alt="" name="7409329.fig.003" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.003.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图3</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/fig3/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 马尔可夫链状态关系图。</d我v> </div> </div> </div> <p>因为参考节点对应一个节点具有类似交通状况也比大多数节点和其邻居节点,我们认为一个数据包到达的概率节点的引用<span class="nowrap"> <svg height="13.8595pt" id="M32" style="vertical-align:-2.2681pt" version="1.1" viewbox="-0.0498162 -11.5914 33.5837 13.8595" width="33.5837pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M600 480C600 590 528 650 384 650H143L137 622C222 614 225 607 210 531L130 127C113 41 106 36 23 28L17 0H294L300 28C204 36 195 42 212 127L243 284L314 263C327 263 339 263 352 264C465 271 600 337 600 480ZM508 481C508 351 402 304 329 304C289 304 265 311 250 317L295 559C302 594 310 606 323 611C335 616 350 619 367 619C455 619 508 573 508 481Z" id="g113-81"></path> </g> <g transform="matrix(.013,0,0,-0.013,7.374,0)"> <path d="M483 97L471 123C436 91 401 65 392 65C388 65 384 74 390 106C414 239 444 378 457 429L455 433C444 433 429 436 416 439C392 444 368 448 344 448C281 448 204 415 152 376C71 315 23 205 23 103C23 21 57 -12 85 -12C114 -12 149 6 185 34C231 70 285 119 329 183H331L309 81C292 0 308 -12 326 -12C350 -12 421 24 483 97ZM374 387C370 363 356 291 345 261C315 193 181 50 139 50C124 50 110 71 110 118C110 224 153 331 218 379C238 394 271 402 301 402C329 402 359 394 374 387Z" id="g113-98"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,13.954,-5.741)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.9,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,23.398,0)"> <path d="M393 379C402 394 400 411 393 422C384 437 365 448 348 448C301 448 237 372 186 285H182L193 335C210 408 205 448 178 448C150 448 80 402 29 344L45 321C80 355 114 373 122 373C128 373 130 365 124 330C106 228 76 98 50 -5L57 -12C82 -5 112 3 132 6L172 203C196 256 234 304 254 329C275 355 293 367 306 367C318 367 330 360 342 348C347 343 355 343 365 350S386 367 393 379Z" id="g113-115"></path> </g> <g transform="matrix(.013,0,0,-0.013,28.886,0)"> <use xlink:href="#g113-42"></use> </g> </svg>,</span>和两个或两个以上的数据包到达的概率是由参考节点<span class="nowrap"> <svg height="13.0648pt" id="M33" style="vertical-align:-2.268101pt" version="1.1" viewbox="-0.0498162 -10.7967 34.7163 13.0648" width="34.7163pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.374,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.954,-5.741)"> <use xlink:href="#g54-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,20.033,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.531,0)"> <use xlink:href="#g113-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.019,0)"> <use xlink:href="#g113-42"></use> </g> </svg>。</span>因此,没有数据包到达该节点的概率是由<span class="inline_break"> <svg height="13.8595pt" id="M34" style="vertical-align:-2.2681pt" version="1.1" viewbox="-0.0498162 -11.5914 44.647 13.8595" width="44.647pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.374,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.954,-5.741)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.9,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,23.398,0)"> <use xlink:href="#g113-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,28.886,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,37.016,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span><span class="nowrap"> <svg height="13.8595pt" style="vertical-align:-2.2681pt" version="1.1" viewbox="48.2291838 -11.5914 101.533 13.8595" width="101.533pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,48.279,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,57.425,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,67.961,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,75.335,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,81.915,-5.741)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,86.862,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,91.36,0)"> <use xlink:href="#g113-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,96.848,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,104.251,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,114.788,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,122.161,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,128.742,-5.741)"> <use xlink:href="#g54-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,134.821,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,139.319,0)"> <use xlink:href="#g113-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,144.807,0)"> <use xlink:href="#g113-42"></use> </g> </svg>。</span></span></p> <p>是很重要的话,这个模型是一个近似来降低系统的复杂性,因为我们也考虑到<span class="nowrap"> <svg height="11.7978pt" id="M35" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -11.5914 19.0474 11.7978" width="19.0474pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.374,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.954,-5.741)"> <use xlink:href="#g50-50"></use> </g> </svg>,</span><span class="nowrap"> <svg height="11.0031pt" id="M36" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -10.7967 20.18 11.0031" width="20.18pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.374,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.954,-5.741)"> <use xlink:href="#g54-36"></use> </g> </svg>,</span>和<svg height="11.7978pt" id="M37" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -11.5914 19.0474 11.7978" width="19.0474pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.374,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.954,-5.741)"> <use xlink:href="#g50-49"></use> </g> </svg>也的概率一个、多个或没有数据包到达所有的参考节点的邻居,分别。这并非总是如此,因为参考节点可以接近节点在监视区域的边界或可以在一个特定的环境中,许多链接不活跃,这将彻底改变的值参考节点和邻居节点的数据包到达。然而,我们认为这个近似为将军和准确的结果轮为提供不可靠的链接和多个水槽节点,作为广泛的分析结果进行了比较,证明了仿真结果提出了进一步。区分事件的参考节点和邻居节点,我们考虑以下变量:一个数据包到达的概率是一个邻居节点<span class="nowrap"> <svg height="13.8595pt" id="M38" style="vertical-align:-2.2681pt" version="1.1" viewbox="-0.0498162 -11.5914 33.9621 13.8595" width="33.9621pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.374,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.954,-5.741)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,18.9,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,23.398,0)"> <path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z" id="g185-40"></path> </g> <g transform="matrix(.013,0,0,-0.013,29.262,0)"> <use xlink:href="#g113-42"></use> </g> </svg>,</span>和两个或两个以上的数据包到达的概率是由一个邻居节点<span class="nowrap"> <svg height="13.0648pt" id="M39" style="vertical-align:-2.268101pt" version="1.1" viewbox="-0.0498162 -10.7967 35.0947 13.0648" width="35.0947pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.374,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.954,-5.741)"> <use xlink:href="#g54-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,20.033,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.531,0)"> <use xlink:href="#g185-40"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.394,0)"> <use xlink:href="#g113-42"></use> </g> </svg>。</span></p> <p>拟议的DTMC有效状态转换概率如下:<span class="list"><span class="list-item"><span class="list-label">(我)</span><span class="list-content">从状态0到0的概率<span class="inline_break"> <svg height="15.9421pt" id="M40" style="vertical-align:-4.350699pt" version="1.1" viewbox="-0.0498162 -11.5914 29.478 15.9421" width="29.478pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.088,3.132)"> <path d="M98 134C72 134 46 117 46 90C46 73 55 65 60 64C95 55 124 32 124 -4C124 -42 95 -68 44 -89L57 -123C122 -104 194 -60 194 22C194 94 136 134 98 134Z" id="g50-45"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,13.244,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.847,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="15.9421pt" style="vertical-align:-4.350699pt" version="1.1" viewbox="33.0601838 -11.5914 42.693 15.9421" width="42.693pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,33.11,0)"> <use xlink:href="#g113-124"></use> </g> <g transform="matrix(.013,0,0,-0.013,37.621,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,44.995,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,51.575,-5.741)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,56.522,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,61.02,0)"> <use xlink:href="#g113-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,66.508,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,71.006,0)"> <use xlink:href="#g113-126"></use> </g> </svg></span>这对应于当缓冲区是空的,没有参考节点数据包到达</span></span><span class="list-item"><span class="list-label">(2)</span><span class="list-content">从状态0到1的概率<span class="inline_break"> <svg height="15.9421pt" id="M41" style="vertical-align:-4.350699pt" version="1.1" viewbox="-0.0498162 -11.5914 29.478 15.9421" width="29.478pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.088,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.244,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.847,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="15.9421pt" style="vertical-align:-4.350699pt" version="1.1" viewbox="33.0601838 -11.5914 62.427 15.9421" width="62.427pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,33.11,0)"> <use xlink:href="#g113-124"></use> </g> <g transform="matrix(.013,0,0,-0.013,37.621,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,46.767,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,57.303,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,64.677,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,71.257,-5.741)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,76.204,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,80.702,0)"> <use xlink:href="#g113-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,86.19,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,90.688,0)"> <use xlink:href="#g113-126"></use> </g> </svg></span>相对应的一个成功参考节点收到的数据包,即。参考节点,没有事故发生</span></span><span class="list-item"><span class="list-label">(3)</span><span class="list-content">从国家<svg height="10.7866pt" id="M42" style="vertical-align:-2.150701pt" version="1.1" viewbox="-0.0498162 -8.6359 9.52083 10.7866" width="9.52083pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-82"></use> </g> </svg>州<span class="nowrap"> <svg height="10.7866pt" id="M43" style="vertical-align:-2.150701pt" version="1.1" viewbox="-0.0498162 -8.6359 29.2548 10.7866" width="29.2548pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.292,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,22.828,0)"> <use xlink:href="#g113-50"></use> </g> </svg>,</span><span class="inline_break"> <svg height="10.7866pt" id="M44" style="vertical-align:-2.150701pt" version="1.1" viewbox="-0.0498162 -8.6359 20.649 10.7866" width="20.649pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,13.018,0)"> <use xlink:href="#g117-92"></use> </g> </svg><span class="irelop"></span><span class="nowrap"> <svg height="10.7866pt" style="vertical-align:-2.150701pt" version="1.1" viewbox="24.2311838 -8.6359 6.427 10.7866" width="6.427pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,24.281,0)"> <use xlink:href="#g113-50"></use> </g> </svg>,</span></span>的概率<span class="inline_break"> <svg height="16.2709pt" id="M45" style="vertical-align:-4.679501pt" version="1.1" viewbox="-0.0498162 -11.5914 43.746 16.2709" width="43.746pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <path d="M750 355C750 552 603 667 428 667C199 667 24 497 24 286C24 118 146 -4 316 -16L336 -29C480 -122 544 -145 582 -154C606 -159 666 -170 714 -172L722 -146C652 -117 562 -75 472 -15L454 -3C623 38 750 176 750 355ZM646 353C646 210 556 50 414 25L385 41L304 27C193 50 128 152 128 282C128 474 254 626 418 626C571 626 646 519 646 353Z" id="g50-82"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,13.116,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,15.273,3.132)"> <use xlink:href="#g50-82"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,21.898,3.132)"> <path d="M556 236V289H56V236H556Z" id="g54-33"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,27.458,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.115,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="16.2709pt" style="vertical-align:-4.679501pt" version="1.1" viewbox="47.3281838 -11.5914 68.133 16.2709" width="68.133pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,47.378,0)"> <use xlink:href="#g113-124"></use> </g> <g transform="matrix(.013,0,0,-0.013,51.889,0)"> <use xlink:href="#g113-241"></use> </g> <g transform="matrix(.013,0,0,-0.013,58.171,0)"> <path d="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z" id="g113-92"></path> </g> <g transform="matrix(.013,0,0,-0.013,62.656,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,71.801,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,82.338,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,90.364,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,94.862,0)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,107.88,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span><span class="nowrap"> <svg height="16.2709pt" style="vertical-align:-4.679501pt" version="1.1" viewbox="119.0931838 -11.5914 131.238 16.2709" width="131.238pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,119.143,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,125.383,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,129.881,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> <g transform="matrix(.013,0,0,-0.013,134.366,0)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,138.851,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,147.996,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,158.533,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,165.907,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,172.487,-5.741)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,177.433,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,181.931,0)"> <use xlink:href="#g185-40"></use> </g> <g transform="matrix(.013,0,0,-0.013,187.794,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,195.198,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,205.734,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,213.108,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,219.688,-5.741)"> <use xlink:href="#g54-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,225.767,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,230.265,0)"> <use xlink:href="#g185-40"></use> </g> <g transform="matrix(.013,0,0,-0.013,236.129,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,240.627,0)"> <use xlink:href="#g113-94"></use> </g> <g transform="matrix(.013,0,0,-0.013,245.112,0)"> <use xlink:href="#g113-126"></use> </g> </svg>。</span></span>这种转变对应单个包的情况通过参考节点的概率<svg height="6.1673pt" id="M46" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 6.40217 6.1673" width="6.40217pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-241"></use> </g> </svg>并正确地收到预期的邻居节点,即。,no other packets are transmitted or received by the intended neighbor node. This implies that no other neighbor node transmitted to the intended reference node’s neighbor node</span></span><span class="list-item"><span class="list-label">(iv)</span><span class="list-content">从国家<svg height="10.7866pt" id="M47" style="vertical-align:-2.150701pt" version="1.1" viewbox="-0.0498162 -8.6359 9.52083 10.7866" width="9.52083pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-82"></use> </g> </svg>州<span class="nowrap"> <svg height="10.7866pt" id="M48" style="vertical-align:-2.150701pt" version="1.1" viewbox="-0.0498162 -8.6359 29.2548 10.7866" width="29.2548pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.292,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,22.828,0)"> <use xlink:href="#g113-50"></use> </g> </svg>,</span><span class="inline_break"> <svg height="10.7866pt" id="M49" style="vertical-align:-2.150701pt" version="1.1" viewbox="-0.0498162 -8.6359 20.649 10.7866" width="20.649pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,13.018,0)"> <use xlink:href="#g117-92"></use> </g> </svg><span class="irelop"></span><span class="nowrap"> <svg height="10.7866pt" style="vertical-align:-2.150701pt" version="1.1" viewbox="24.2311838 -8.6359 6.427 10.7866" width="6.427pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,24.281,0)"> <use xlink:href="#g113-50"></use> </g> </svg>,</span></span>的概率<span class="inline_break"> <svg height="16.2709pt" id="M50" style="vertical-align:-4.679501pt" version="1.1" viewbox="-0.0498162 -11.5914 33.717 16.2709" width="33.717pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <use xlink:href="#g50-82"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.116,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,15.273,3.132)"> <use xlink:href="#g50-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,26.086,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="16.2709pt" style="vertical-align:-4.679501pt" version="1.1" viewbox="37.2981838 -11.5914 68.134 16.2709" width="68.134pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,37.348,0)"> <use xlink:href="#g113-124"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.86,0)"> <use xlink:href="#g113-241"></use> </g> <g transform="matrix(.013,0,0,-0.013,48.142,0)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,52.627,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,61.772,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,72.309,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,80.335,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,84.833,0)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,97.851,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="16.2709pt" style="vertical-align:-4.679501pt" version="1.1" viewbox="109.06418380000001 -11.5914 83.33 16.2709" width="83.33pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,109.114,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,115.354,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,119.852,0)"> <use xlink:href="#g113-94"></use> </g> <g transform="matrix(.013,0,0,-0.013,124.337,0)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,128.822,0)"> <use xlink:href="#g113-241"></use> </g> <g transform="matrix(.013,0,0,-0.013,135.104,0)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,139.589,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,148.734,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,159.271,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,167.297,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,171.795,0)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,184.813,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="16.2709pt" style="vertical-align:-4.679501pt" version="1.1" viewbox="196.02618379999998 -11.5914 25.759 16.2709" width="25.759pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,196.076,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,202.316,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,206.814,0)"> <use xlink:href="#g113-94"></use> </g> <g transform="matrix(.013,0,0,-0.013,214.204,0)"> <path d="M535 230V280H323V490H265V280H52V230H265V-3H323V230H535Z" id="g117-36"></path> </g> </svg><span class="ibiop"></span> <svg height="16.2709pt" style="vertical-align:-4.679501pt" version="1.1" viewbox="224.6911838 -11.5914 87.789 16.2709" width="87.789pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,224.741,0)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,229.226,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,238.371,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,248.908,0)"> <use xlink:href="#g113-241"></use> </g> <g transform="matrix(.013,0,0,-0.013,255.19,0)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,259.675,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,268.821,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,279.357,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,287.383,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,291.881,0)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,304.899,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="16.2709pt" style="vertical-align:-4.679501pt" version="1.1" viewbox="316.11218379999997 -11.5914 68.489 16.2709" width="68.489pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,316.162,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,322.402,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,326.9,0)"> <use xlink:href="#g113-94"></use> </g> <g transform="matrix(.013,0,0,-0.013,331.385,0)"> <use xlink:href="#g113-94"></use> </g> <g transform="matrix(.013,0,0,-0.013,335.87,0)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,340.355,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,347.729,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,354.309,-5.741)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,359.256,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,363.754,0)"> <use xlink:href="#g185-40"></use> </g> <g transform="matrix(.013,0,0,-0.013,369.617,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,377.02,0)"> <use xlink:href="#g117-36"></use> </g> </svg><span class="ibiop"></span> <svg height="16.2709pt" style="vertical-align:-4.679501pt" version="1.1" viewbox="387.5071838 -11.5914 54.398 16.2709" width="54.398pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,387.557,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,394.93,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,401.511,-5.741)"> <use xlink:href="#g54-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,407.59,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,412.088,0)"> <use xlink:href="#g185-40"></use> </g> <g transform="matrix(.013,0,0,-0.013,417.951,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,422.449,0)"> <use xlink:href="#g113-94"></use> </g> <g transform="matrix(.013,0,0,-0.013,426.934,0)"> <use xlink:href="#g113-94"></use> </g> <g transform="matrix(.013,0,0,-0.013,434.324,0)"> <use xlink:href="#g117-36"></use> </g> </svg><span class="ibiop"></span> <svg height="16.2709pt" style="vertical-align:-4.679501pt" version="1.1" viewbox="444.8111838 -11.5914 87.789 16.2709" width="87.789pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,444.861,0)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,449.346,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,458.491,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,469.028,0)"> <use xlink:href="#g113-241"></use> </g> <g transform="matrix(.013,0,0,-0.013,475.31,0)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,479.795,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,488.941,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,499.477,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,507.503,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,512.001,0)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,525.019,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span><span class="nowrap"> <svg height="16.2709pt" style="vertical-align:-4.679501pt" version="1.1" viewbox="536.2321838 -11.5914 88.165 16.2709" width="88.165pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,536.282,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,542.522,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,547.02,0)"> <use xlink:href="#g113-94"></use> </g> <g transform="matrix(.013,0,0,-0.013,551.505,0)"> <use xlink:href="#g113-94"></use> </g> <g transform="matrix(.013,0,0,-0.013,555.99,0)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,560.475,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,569.621,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,580.157,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,587.531,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,594.111,-5.741)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,599.057,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,603.555,0)"> <use xlink:href="#g113-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,609.044,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,613.542,0)"> <use xlink:href="#g113-94"></use> </g> <g transform="matrix(.013,0,0,-0.013,618.027,0)"> <use xlink:href="#g113-126"></use> </g> </svg>。</span></span>在这种情况下,没有新的参考节点收到的数据包成功。这发生由于下列情形:(一)参考节点传输数据包的概率<span class="nowrap"> <svg height="6.1673pt" id="M51" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 6.40217 6.1673" width="6.40217pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-241"></use> </g> </svg>。</span>然而,邻居节点也传播或不传输但其它邻居节点传播,造成数据包碰撞;(b)这个状态转换时也可以参考节点不传送,但没有其他参考节点收到的数据包成功</span></span><span class="list-item"><span class="list-label">(v)</span><span class="list-content">从国家<svg height="10.7866pt" id="M52" style="vertical-align:-2.150701pt" version="1.1" viewbox="-0.0498162 -8.6359 9.52083 10.7866" width="9.52083pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-82"></use> </g> </svg>州<span class="inline_break"> <svg height="10.7866pt" id="M53" style="vertical-align:-2.150701pt" version="1.1" viewbox="-0.0498162 -8.6359 19.923 10.7866" width="19.923pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.292,0)"> <use xlink:href="#g117-36"></use> </g> </svg><span class="ibiop"></span><span class="nowrap"> <svg height="10.7866pt" style="vertical-align:-2.150701pt" version="1.1" viewbox="22.7781838 -8.6359 6.427 10.7866" width="6.427pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,22.828,0)"> <use xlink:href="#g113-50"></use> </g> </svg>,</span></span><span class="inline_break"> <svg height="10.7866pt" id="M54" style="vertical-align:-2.150701pt" version="1.1" viewbox="-0.0498162 -8.6359 20.649 10.7866" width="20.649pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,13.018,0)"> <use xlink:href="#g117-92"></use> </g> </svg><span class="irelop"></span><span class="nowrap"> <svg height="10.7866pt" style="vertical-align:-2.150701pt" version="1.1" viewbox="24.2311838 -8.6359 6.427 10.7866" width="6.427pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,24.281,0)"> <use xlink:href="#g113-50"></use> </g> </svg>,</span></span>的概率<span class="inline_break"> <svg height="16.2709pt" id="M55" style="vertical-align:-4.679501pt" version="1.1" viewbox="-0.0498162 -11.5914 43.746 16.2709" width="43.746pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <use xlink:href="#g50-82"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.116,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,15.273,3.132)"> <use xlink:href="#g50-82"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,21.898,3.132)"> <use xlink:href="#g54-36"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,27.458,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.115,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="16.2709pt" style="vertical-align:-4.679501pt" version="1.1" viewbox="47.3281838 -11.5914 92.3 16.2709" width="92.3pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,47.378,0)"> <use xlink:href="#g113-124"></use> </g> <g transform="matrix(.013,0,0,-0.013,51.889,0)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,56.374,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,65.519,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,76.056,0)"> <use xlink:href="#g113-241"></use> </g> <g transform="matrix(.013,0,0,-0.013,82.338,0)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,86.823,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,95.968,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,106.505,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,114.531,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,119.029,0)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,132.047,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span><span class="nowrap"> <svg height="16.2709pt" style="vertical-align:-4.679501pt" version="1.1" viewbox="143.2601838 -11.5914 67.231 16.2709" width="67.231pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,143.31,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,149.55,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,154.048,0)"> <use xlink:href="#g113-94"></use> </g> <g transform="matrix(.013,0,0,-0.013,158.533,0)"> <use xlink:href="#g113-94"></use> </g> <g transform="matrix(.013,0,0,-0.013,163.018,0)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,167.503,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,174.877,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,181.457,-5.741)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,186.403,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,190.901,0)"> <use xlink:href="#g113-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,196.389,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,200.887,0)"> <use xlink:href="#g113-94"></use> </g> <g transform="matrix(.013,0,0,-0.013,205.372,0)"> <use xlink:href="#g113-126"></use> </g> </svg>。</span></span>在这种情况下,一个新的数据包接收缓冲区的参考节点。这个当参考节点不传送,且只有一个数据包接收到这个参考节点,即。,没有数据包碰撞发生,只有一个邻居节点传播</span></span></span></p> <p>注意,为了传输一个数据包,节点的缓冲区必须非空的。因此,传输一个数据包的概率总是给出的<span class="inline_break"> <svg height="11.5564pt" id="M56" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 63.622 11.5564" width="63.622pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-241"></use> </g> <g transform="matrix(.013,0,0,-0.013,6.282,0)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.767,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.913,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.449,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,38.475,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,42.973,0)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,55.991,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span><span class="nowrap"> <svg height="11.5564pt" style="vertical-align:-2.26807pt" version="1.1" viewbox="67.20418380000001 -9.28833 15.574 11.5564" width="15.574pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,67.254,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,73.494,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,77.992,0)"> <use xlink:href="#g113-94"></use> </g> </svg>。</span></span></p> <p>获得封闭表达式对于系统的性能,我们首先简化前面的表达式如下:<span class="list"><span class="list-item"><span class="list-label">(我)</span><span class="list-content"> <svg height="12.9866pt" id="M57" style="vertical-align:-4.3507pt" version="1.1" viewbox="-0.0498162 -8.6359 54.821 12.9866" width="54.821pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,5.993,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.571,0)"> <path d="M885 230V280H158L260 427L238 442C164 361 93 290 53 255C93 220 164 149 238 68L260 83L158 230H885Z" id="g117-147"></path> </g> <g transform="matrix(.013,0,0,-0.013,24.481,0)"> <path d="M567 230V280H69V230H567Z" id="g117-149"></path> </g> <g transform="matrix(.013,0,0,-0.013,36.458,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,43.114,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,47.546,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,49.703,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg></span></span><span class="list-item"><span class="list-label">(2)</span><span class="list-content"> <svg height="12.9866pt" id="M58" style="vertical-align:-4.3507pt" version="1.1" viewbox="-0.0498162 -8.6359 74.5549 12.9866" width="74.5549pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.145,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.682,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,25.675,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,34.253,0)"> <use xlink:href="#g117-147"></use> </g> <g transform="matrix(.013,0,0,-0.013,44.163,0)"> <use xlink:href="#g117-149"></use> </g> <g transform="matrix(.013,0,0,-0.013,56.14,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,62.796,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,67.228,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,69.385,3.132)"> <use xlink:href="#g50-49"></use> </g> </svg></span></span><span class="list-item"><span class="list-label">(3)</span><span class="list-content"> <svg height="13.3154pt" id="M59" style="vertical-align:-4.679501pt" version="1.1" viewbox="-0.0498162 -8.6359 64.7291 13.3154" width="64.7291pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.212,0)"> <use xlink:href="#g117-147"></use> </g> <g transform="matrix(.013,0,0,-0.013,20.122,0)"> <use xlink:href="#g117-149"></use> </g> <g transform="matrix(.013,0,0,-0.013,32.099,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,38.755,3.132)"> <use xlink:href="#g50-82"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,45.216,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,47.372,3.132)"> <use xlink:href="#g50-82"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,53.997,3.132)"> <use xlink:href="#g54-36"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,59.557,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg></span></span><span class="list-item"><span class="list-label">(iv)</span><span class="list-content"> <svg height="13.9678pt" id="M60" style="vertical-align:-4.67947pt" version="1.1" viewbox="-0.0498162 -9.28833 64.2463 13.9678" width="64.2463pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M452 333C452 398 425 448 375 448C329 448 235 404 140 292H138L229 683C233 701 234 712 225 712C208 712 149 686 66 677L64 652H97C135 652 140 651 129 598L38 167C23 96 29 57 44 33C60 7 98 -12 132 -12C169 -12 232 3 290 41C383 102 452 223 452 333ZM365 316C365 199 308 87 239 49C221 39 200 35 183 35C137 35 99 70 112 163C116 191 123 215 129 233C190 316 290 392 330 392C348 392 365 372 365 316Z" id="g113-99"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.733,0)"> <use xlink:href="#g117-147"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.643,0)"> <use xlink:href="#g117-149"></use> </g> <g transform="matrix(.013,0,0,-0.013,31.62,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,38.276,3.132)"> <use xlink:href="#g50-82"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,44.737,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,46.893,3.132)"> <use xlink:href="#g50-82"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,53.518,3.132)"> <use xlink:href="#g54-33"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,59.078,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg></span></span><span class="list-item"><span class="list-label">(v)</span><span class="list-content"> <svg height="13.9678pt" id="M61" style="vertical-align:-4.67947pt" version="1.1" viewbox="-0.0498162 -9.28833 94.0243 13.9678" width="94.0243pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.145,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.682,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.168,0)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,39.704,0)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,49.437,0)"> <use xlink:href="#g117-147"></use> </g> <g transform="matrix(.013,0,0,-0.013,59.347,0)"> <use xlink:href="#g117-149"></use> </g> <g transform="matrix(.013,0,0,-0.013,71.324,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,77.98,3.132)"> <use xlink:href="#g50-82"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,84.441,3.132)"> <use xlink:href="#g50-45"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,86.598,3.132)"> <use xlink:href="#g50-82"></use> </g> </svg></span></span></span></p> <p>现在,我们递归地计算稳定状态概率如下:<span class="equation_break" id="EEq5"><span class="left_break" id="L62"></span><span class="middle_break"><span class="center_break" id="M62"> <svg height="153.827pt" id="M62-1" version="1.1" viewbox="0 0 125.004 153.827" width="125.004pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B62-1"> <g transform="matrix(.013,0,0,-0.013,30.24,14.813)"> <path d="M574 449L545 460C526 432 516 430 487 430C404 430 311 435 226 435C104 435 56 379 25 341L43 318C81 354 121 372 181 372C161 246 87 53 23 3L30 -12C48 -12 88 -4 113 11C157 75 207 248 232 371L386 367L326 109C321 86 318 66 318 50C318 4 339 -12 366 -12C410 -12 461 21 505 69L492 96C467 79 434 60 418 60C406 60 400 78 411 147C422 217 439 300 457 366C487 366 524 367 536 370C547 385 558 408 574 449Z" id="g113-238"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,37.6,17.945)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,46.18,14.813)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,58.64,5.961)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,64.63,9.093)"> <path d="M452 282C452 397 389 451 302 451C268 451 227 441 188 422C95 377 24 281 24 154C24 65 70 -12 173 -12C240 -12 297 16 342 52C418 113 452 201 452 282ZM359 282C359 163 308 66 247 39C237 35 225 32 212 32C151 32 114 79 114 157C114 301 180 380 223 398C240 405 250 408 265 408C315 408 359 369 359 282Z" id="g50-112"></path> </g> <rect height="0.65243" width="10.8614" x="58.64" y="11.16"></rect> <g transform="matrix(.013,0,0,-0.013,61.01,24.039)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,73.6,14.813)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,79.47,14.813)"> <use xlink:href="#g113-238"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,86.83,17.945)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,91.77,14.813)"> <path d="M114 412C81 412 58 388 58 355C58 321 81 297 113 297S169 321 169 355C169 388 145 412 114 412ZM95 130C70 130 46 114 46 88C46 72 54 65 59 64C93 56 121 33 121 -3C121 -41 93 -68 45 -88L56 -118C117 -99 186 -56 186 22C186 91 131 130 95 130Z" id="g113-60"></path> </g> <g transform="matrix(.013,0,0,-0.013,32.37,47.581)"> <use xlink:href="#g113-238"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,39.73,50.712)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,48.31,47.581)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,60.77,39.073)"> <use xlink:href="#g113-98"></use> </g> <rect height="0.65243" width="6.60267" x="60.77" y="43.927"></rect> <g transform="matrix(.013,0,0,-0.013,61.01,56.806)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,71.47,47.581)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,77.34,47.581)"> <use xlink:href="#g113-238"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,84.7,50.712)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,89.64,47.581)"> <use xlink:href="#g113-60"></use> </g> <g transform="matrix(.013,0,0,-0.013,22.59,84.706)"> <use xlink:href="#g113-238"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,29.95,87.838)"> <use xlink:href="#g50-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,38.53,84.706)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,49.79,84.706)"> <path d="M473 -672C287 -482 178 -118 178 271C178 661 285 1024 473 1214L447 1243C202 1022 91 668 91 272V271C91 -129 202 -485 447 -701L473 -672Z" id="g119-149"></path> </g> <g transform="matrix(.013,0,0,-0.013,58.29,76.198)"> <use xlink:href="#g113-98"></use> </g> <rect height="0.65243" width="6.60267" x="58.29" y="81.052"></rect> <g transform="matrix(.013,0,0,-0.013,58.53,93.932)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,66.09,84.706)"> <path d="M469 271V272C469 668 358 1022 113 1243L87 1214C275 1024 382 661 382 271C382 -118 273 -482 87 -672L113 -701C358 -485 469 -129 469 271Z" id="g119-150"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,73.4,71.729)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,81.25,84.706)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,87.12,84.706)"> <use xlink:href="#g113-238"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,94.48,87.838)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,99.42,84.706)"> <use xlink:href="#g113-60"></use> </g> <g transform="matrix(.013,0,0,-0.013,55.9,112.371)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,61.04,112.371)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,66.19,112.371)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,0,144.212)"> <use xlink:href="#g113-238"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.36,147.344)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.05,144.212)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,25.31,144.212)"> <use xlink:href="#g119-149"></use> </g> <g transform="matrix(.013,0,0,-0.013,33.81,135.704)"> <use xlink:href="#g113-98"></use> </g> <rect height="0.65243" width="6.60267" x="33.81" y="140.559"></rect> <g transform="matrix(.013,0,0,-0.013,34.05,153.438)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.61,144.212)"> <use xlink:href="#g119-150"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,48.92,131.235)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,51.47,131.235)"> <use xlink:href="#g54-33"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,57.03,131.235)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,64.91,144.212)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,70.78,144.212)"> <use xlink:href="#g119-149"></use> </g> <g transform="matrix(.013,0,0,-0.013,79.28,135.36)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,85.27,138.492)"> <use xlink:href="#g50-49"></use> </g> <rect height="0.65243" width="10.9619" x="79.28" y="140.559"></rect> <g transform="matrix(.013,0,0,-0.013,81.7,153.438)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,94.34,144.212)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,100.21,144.212)"> <use xlink:href="#g113-238"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,107.57,147.344)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,112.52,144.212)"> <use xlink:href="#g119-150"></use> </g> <g transform="matrix(.013,0,0,-0.013,122.04,144.212)"> <use xlink:href="#g113-47"></use> </g> </g> </svg></span></span><span class="right_break" id="R62"> <svg class="label" height="11.44pt" id="M62-2" version="1.1" viewbox="0 0 14.898 11.44" width="14.898pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B62-2"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <path d="M130 550H367L393 615L386 623H101L63 323C82 331 123 342 165 342C275 342 328 277 328 188C328 107 283 40 201 40C141 40 99 72 78 91C69 99 59 98 51 91C39 81 30 67 29 58C28 48 33 37 46 24C60 10 104 -12 149 -12C203 -11 269 14 323 59C384 109 412 165 412 225C412 308 347 399 219 399C193 399 146 382 104 367L130 550Z" id="g190-161"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.4,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg></span></span></p> <p>和使用归一化方程<span class="equation_break" id="eq1"><span class="left_break" id="L63"></span><span class="middle_break"><span class="center_break" id="M63"> <svg height="35.6587pt" id="M63-1" version="1.1" viewbox="0 0 47.674 35.6587" width="47.674pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B63-1"> <g transform="matrix(.0091,0,0,-0.0091,1.84,5.65)"> <path d="M1000 227C1000 351 905 451 780 451C658 451 590 380 530 279C465 385 388 451 261 451C168 451 38 376 38 210C38 98 121 -12 261 -12C381 -12 448 59 508 160C573 53 652 -12 780 -12C879 -12 1000 64 1000 227ZM485 199C434 109 370 25 271 25C188 25 133 117 133 241C133 355 189 414 249 414C357 414 426 302 485 199ZM903 204C903 70 852 25 790 25C681 25 611 136 552 240C603 330 669 414 768 414C855 414 903 321 903 204Z" id="g50-30"></path> </g> <g transform="matrix(.013,0,0,-0.013,0,20.421)"> <use xlink:href="#g119-73"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,0.29,34.064)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,2.84,34.064)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.4,34.064)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,13.16,20.415)"> <use xlink:href="#g113-238"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.52,23.547)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,27.21,20.415)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,38.47,20.415)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,44.71,20.415)"> <use xlink:href="#g113-45"></use> </g> </g> </svg></span></span><span class="right_break" id="R63"> <svg class="label" height="11.44pt" id="M63-2" version="1.1" viewbox="0 0 15.428 11.44" width="15.428pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B63-2"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.49,9.26)"> <path d="M143 344C173 483 265 547 326 576C363 593 402 605 434 611L429 641C389 634 343 623 301 608C195 570 43 456 43 236C43 81 135 -12 245 -12C368 -12 453 88 453 208C453 310 380 393 273 393C253 393 232 386 211 376L143 344ZM234 338C325 338 367 255 367 172C367 102 346 21 264 21C184 21 132 113 132 239C132 267 133 291 138 312C164 327 197 338 234 338Z" id="g190-227"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.93,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg></span></span>我们得到了<span class="equation_break" id="eq2"><span class="left_break" id="L64"></span><span class="middle_break"><span class="center_break" id="M64"> <svg height="35.6587pt" id="M64-1" version="1.1" viewbox="0 0 23.068 35.6587" width="23.068pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B64-1"> <g transform="matrix(.0091,0,0,-0.0091,1.84,5.65)"> <use xlink:href="#g50-30"></use> </g> <g transform="matrix(.013,0,0,-0.013,0,20.421)"> <use xlink:href="#g119-73"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,0.29,34.064)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,2.84,34.064)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.4,34.064)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,13.17,20.415)"> <use xlink:href="#g113-238"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,20.52,23.547)"> <use xlink:href="#g50-106"></use> </g> </g> </svg> <svg height="35.6587pt" id="M64-2" version="1.1" viewbox="0 0 118.27 35.6587" width="118.27pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B64-2"> <g transform="matrix(.013,0,0,-0.013,0,20.415)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.26,20.415)"> <use xlink:href="#g113-238"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,18.62,23.547)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,25.75,20.415)"> <path d="M417 -839V-790L351 -787C244 -783 242 -774 242 -668V1156C242 1314 245 1323 351 1327L417 1330V1379H170V-839H417Z" id="g119-153"></path> </g> <g transform="matrix(.013,0,0,-0.013,32.68,20.415)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.82,20.415)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,53.55,11.563)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,59.55,14.694)"> <use xlink:href="#g50-49"></use> </g> <rect height="0.65243" width="10.9619" x="53.55" y="16.761"></rect> <g transform="matrix(.013,0,0,-0.013,55.98,29.64)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,68.62,20.415)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,80.35,11.563)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,86.34,14.694)"> <use xlink:href="#g50-49"></use> </g> <rect height="0.65243" width="10.9619" x="80.35" y="16.761"></rect> <g transform="matrix(.013,0,0,-0.013,82.77,29.64)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,94.69,20.415)"> <use xlink:href="#g119-149"></use> </g> <g transform="matrix(.013,0,0,-0.013,103.19,11.907)"> <use xlink:href="#g113-98"></use> </g> <rect height="0.65243" width="6.60267" x="103.19" y="16.761"></rect> <g transform="matrix(.013,0,0,-0.013,103.43,29.64)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,110.99,20.415)"> <use xlink:href="#g119-150"></use> </g> </g> </svg> <svg height="35.6587pt" id="M64-3" version="1.1" viewbox="0 0 93.554 35.6587" width="93.554pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B64-3"> <g transform="matrix(.013,0,0,-0.013,0,20.415)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.73,11.563)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,17.73,14.694)"> <use xlink:href="#g50-49"></use> </g> <rect height="0.65243" width="10.9619" x="11.73" y="16.761"></rect> <g transform="matrix(.013,0,0,-0.013,14.15,29.64)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,26.07,20.415)"> <use xlink:href="#g119-149"></use> </g> <g transform="matrix(.013,0,0,-0.013,34.57,11.907)"> <use xlink:href="#g113-98"></use> </g> <rect height="0.65243" width="6.60267" x="34.57" y="16.761"></rect> <g transform="matrix(.013,0,0,-0.013,34.81,29.64)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,42.37,20.415)"> <use xlink:href="#g119-150"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,49.68,7.438)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,57.53,20.415)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,68.07,20.415)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,73.21,20.415)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,78.35,20.415)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,81.35,20.415)"> <path d="M361 -839V1379H114V1330L180 1327C286 1323 289 1314 289 1156V-668C289 -774 287 -783 180 -787L114 -790V-839H361Z" id="g119-154"></path> </g> <g transform="matrix(.013,0,0,-0.013,90.59,20.415)"> <use xlink:href="#g113-47"></use> </g> </g> </svg></span></span><span class="right_break" id="R64"> <svg class="label" height="11.44pt" id="M64-4" version="1.1" viewbox="0 0 15.028 11.44" width="15.028pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B64-4"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <path d="M430 623H48C43 580 39 534 30 478H57C80 544 84 550 152 550H369C286 366 187 178 74 -1L81 -12L156 -2C249 201 343 408 438 611L430 623Z" id="g190-223"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.53,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg></span></span></p> <p>由此,一些代数操作后,我们可以计算<svg height="9.25202pt" id="M65" style="vertical-align:-3.29111pt" version="1.1" viewbox="-0.0498162 -5.96091 12.4317 9.25202" width="12.4317pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-238"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.358,3.132)"> <use xlink:href="#g50-49"></use> </g> </svg>如下:<span class="equation_break" id="EEq7"><span class="left_break" id="L66"></span><span class="middle_break"><span class="center_break" id="M66"> <svg height="30.3127pt" id="M66-1" version="1.1" viewbox="0 0 83.174 30.3127" width="83.174pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B66-1"> <g transform="matrix(.013,0,0,-0.013,0,17.796)"> <use xlink:href="#g113-238"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.36,20.928)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,15.93,17.796)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.61,9.288)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,49.62,9.288)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,60.15,9.288)"> <use xlink:href="#g113-98"></use> </g> <rect height="0.65243" width="50.6256" x="28.39" y="14.142"></rect> <g transform="matrix(.013,0,0,-0.013,28.39,27.022)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,37.4,27.022)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,47.94,27.022)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,57.42,27.022)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,67.96,27.022)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,73.95,30.153)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,80.21,17.796)"> <use xlink:href="#g113-47"></use> </g> </g> </svg></span></span><span class="right_break" id="R66"> <svg class="label" height="11.44pt" id="M66-2" version="1.1" viewbox="0 0 15.168 11.44" width="15.168pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B66-2"> <g transform="matrix(.013,0,0,-0.013,0,9.25)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.25)"> <path d="M246 635C138 635 67 554 67 471C67 401 116 348 178 315C143 296 103 268 87 252C65 231 42 203 42 157C42 50 128 -12 234 -12C319 -12 432 52 432 169C432 256 370 303 299 344C347 376 373 399 381 408C399 430 408 459 408 487C408 569 341 635 246 635ZM235 603C284 603 334 567 334 483C334 420 306 383 273 358C202 393 142 427 142 503C142 552 173 603 235 603ZM245 21C179 21 122 70 122 163C122 219 155 270 204 300C279 263 352 219 352 144C352 66 308 21 245 21Z" id="g190-152"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.67,9.25)"> <use xlink:href="#g190-42"></use> </g> </g> </svg></span></span></p> <p>现在,用<svg height="9.25202pt" id="M67" style="vertical-align:-3.29111pt" version="1.1" viewbox="-0.0498162 -5.96091 12.4317 9.25202" width="12.4317pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-238"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.358,3.132)"> <use xlink:href="#g50-49"></use> </g> </svg>从(<a href="#EEq7">8</a>)(<a href="#EEq5">5</a>),我们得到<span class="equation_break" id="EEq8"><span class="left_break" id="L68"></span><span class="middle_break"><span class="center_break" id="M68"> <svg height="31.5262pt" id="M68-1" version="1.1" viewbox="0 0 160.614 31.5262" width="160.614pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B68-1"> <g transform="matrix(.013,0,0,-0.013,0,19.01)"> <use xlink:href="#g113-238"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.36,22.141)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.05,19.01)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,25.31,19.01)"> <use xlink:href="#g119-149"></use> </g> <g transform="matrix(.013,0,0,-0.013,33.82,10.502)"> <use xlink:href="#g113-98"></use> </g> <rect height="0.65243" width="6.60267" x="33.82" y="15.356"></rect> <g transform="matrix(.013,0,0,-0.013,34.06,28.235)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,41.61,19.01)"> <use xlink:href="#g119-150"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,48.92,6.033)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,51.47,6.033)"> <use xlink:href="#g54-33"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,57.03,6.033)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,64.19,19.01)"> <path d="M520 -816C310 -597 186 -177 186 271C186 720 307 1139 520 1358L491 1388C219 1134 96 727 96 272V271C96 -188 219 -597 491 -846L520 -816Z" id="g119-157"></path> </g> <g transform="matrix(.013,0,0,-0.013,73.44,10.157)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,79.44,13.289)"> <use xlink:href="#g50-49"></use> </g> <rect height="0.65243" width="10.9619" x="73.44" y="15.356"></rect> <g transform="matrix(.013,0,0,-0.013,75.87,28.235)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,88.51,19.01)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,107.79,10.502)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,116.8,10.502)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,127.33,10.502)"> <use xlink:href="#g113-98"></use> </g> <rect height="0.65243" width="50.6256" x="95.57" y="15.356"></rect> <g transform="matrix(.013,0,0,-0.013,95.57,28.235)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,104.58,28.235)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,115.12,28.235)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,124.6,28.235)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,135.14,28.235)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,141.13,31.367)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,147.39,19.01)"> <path d="M522 271V272C522 727 399 1134 127 1388L98 1358C311 1139 432 720 432 271C432 -177 308 -597 98 -816L127 -846C399 -597 522 -188 522 271Z" id="g119-158"></path> </g> <g transform="matrix(.013,0,0,-0.013,157.65,19.01)"> <use xlink:href="#g113-47"></use> </g> </g> </svg> <svg class="alt_equation" height="31.5262pt" id="I68" version="1.1" viewbox="0 0 160.61 31.5262" width="160.61pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 0)" xlink:href="#B68-1"></use> </svg></span></span><span class="right_break" id="R68"> <svg class="label" height="11.44pt" id="M68-2" version="1.1" viewbox="0 0 15.338 11.44" width="15.338pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B68-2"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <path d="M247 635C117 635 41 518 41 422C41 317 114 239 220 239C239 239 256 244 278 255L348 290C315 139 207 37 63 13L67 -15C93 -15 155 -5 207 17C343 71 443 203 443 385C443 520 371 635 247 635ZM231 602C331 602 355 476 355 390C355 371 354 349 351 325C334 310 298 294 261 294C177 294 128 369 128 457C128 516 155 602 231 602Z" id="g190-193"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.84,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="alt_label" height="31.5262pt" id="IL68" version="1.1" viewbox="0 0 15.4 31.5262" width="15.4pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 9.83)" xlink:href="#B68-2"></use> </svg></span></span></p> <p>一般的缓冲区大小<svg height="11.439pt" id="M69" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 26.5625 11.439" width="26.5625pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z" id="g113-70"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.008,0)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.493,0)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.88,0)"> <use xlink:href="#g113-94"></use> </g> </svg>可以计算为<span class="inline_break"> <svg height="14.5524pt" id="M70" style="vertical-align:-3.9435pt" version="1.1" viewbox="-0.0498162 -10.6089 37.627 14.5524" width="37.627pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-70"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.008,0)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.493,0)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.88,0)"> <use xlink:href="#g113-94"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.996,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span><span class="nowrap"> <svg height="14.5524pt" style="vertical-align:-3.9435pt" version="1.1" viewbox="41.2091838 -10.6089 39.281 14.5524" width="39.281pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,41.259,.007)"> <path d="M697 -46L668 -39C637 -126 611 -142 545 -142H163L474 298L206 694H483C558 694 584 688 600 668C615 651 627 625 639 580L667 585L655 739H70V714L378 254L53 -203V-228H655L697 -46Z" id="g119-65"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,51.046,-6.394)"> <use xlink:href="#g50-30"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,51.046,3.784)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,53.594,3.784)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,59.154,3.784)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,66.31,0)"> <path d="M244 607C244 633 228 655 200 655C166 655 146 618 146 594C146 564 166 546 191 546C221 546 244 574 244 607ZM222 91L209 114C184 94 148 66 133 66C127 66 124 73 130 96L201 370C213 416 211 448 191 448C162 448 88 407 29 352L42 328C73 354 104 371 114 371C120 371 119 365 115 345L53 92C32 5 45 -12 68 -12C103 -12 186 50 222 91Z" id="g113-106"></path> </g> <g transform="matrix(.013,0,0,-0.013,69.859,0)"> <use xlink:href="#g113-238"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,77.217,3.132)"> <use xlink:href="#g50-106"></use> </g> </svg>。</span></span>因此,使用(<a href="#EEq8">9</a>)和一些代数操作后,我们可以表达<svg height="11.439pt" id="M71" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 26.5625 11.439" width="26.5625pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-70"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.008,0)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.493,0)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.88,0)"> <use xlink:href="#g113-94"></use> </g> </svg>如下:<span class="equation_break" id="eq3"><span class="left_break" id="L72"></span><span class="middle_break"><span class="center_break" id="M72"> <svg height="35.6587pt" id="M72-1" version="1.1" viewbox="0 0 28.555 35.6587" width="28.555pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B72-1"> <g transform="matrix(.013,0,0,-0.013,0,20.415)"> <use xlink:href="#g113-70"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.18,20.656)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.68,20.415)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.07,20.656)"> <use xlink:href="#g113-94"></use> </g> </g> </svg> <svg height="35.6587pt" id="M72-2" version="1.1" viewbox="0 0 160.274 35.6587" width="160.274pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B72-2"> <g transform="matrix(.013,0,0,-0.013,0,20.415)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.1,5.65)"> <use xlink:href="#g50-30"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.26,20.421)"> <use xlink:href="#g119-73"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.55,34.064)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,14.1,34.064)"> <use xlink:href="#g54-34"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,19.66,34.064)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.43,20.415)"> <use xlink:href="#g113-106"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.16,20.415)"> <use xlink:href="#g119-149"></use> </g> <g transform="matrix(.013,0,0,-0.013,38.66,11.907)"> <use xlink:href="#g113-98"></use> </g> <rect height="0.65243" width="6.60267" x="38.66" y="16.761"></rect> <g transform="matrix(.013,0,0,-0.013,38.9,29.64)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,46.46,20.415)"> <use xlink:href="#g119-150"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,53.76,7.438)"> <use xlink:href="#g50-106"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,56.31,7.438)"> <use xlink:href="#g54-33"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,61.87,7.438)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,69.03,20.415)"> <use xlink:href="#g119-157"></use> </g> <g transform="matrix(.013,0,0,-0.013,78.29,11.563)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,84.28,14.694)"> <use xlink:href="#g50-49"></use> </g> <rect height="0.65243" width="10.9619" x="78.29" y="16.761"></rect> <g transform="matrix(.013,0,0,-0.013,80.71,29.64)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,93.35,20.415)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,112.63,11.907)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,121.64,11.907)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,132.18,11.907)"> <use xlink:href="#g113-98"></use> </g> <rect height="0.65243" width="50.6256" x="100.42" y="16.761"></rect> <g transform="matrix(.013,0,0,-0.013,100.42,29.64)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,109.42,29.64)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,119.96,29.64)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,129.45,29.64)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,139.98,29.64)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,145.97,32.772)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,152.24,20.415)"> <use xlink:href="#g119-158"></use> </g> </g> </svg> <svg height="35.6587pt" id="M72-3" version="1.1" viewbox="0 0 114.694 35.6587" width="114.694pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B72-3"> <g transform="matrix(.013,0,0,-0.013,0,20.415)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,52.96,11.563)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,58.95,14.694)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,63.9,11.563)"> <use xlink:href="#g113-99"></use> </g> <rect height="0.65243" width="98.0751" x="12.46" y="16.761"></rect> <g transform="matrix(.013,0,0,-0.013,12.46,30.097)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.98,29.914)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,25.98,29.914)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,36.52,29.914)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,43.1,30.097)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,49.87,29.914)"> <path d="M332 -241C217 -138 149 60 149 271C149 483 216 680 332 783L312 808C148 686 74 491 74 272V271C74 50 148 -146 312 -266L332 -241Z" id="g119-5"></path> </g> <g transform="matrix(.013,0,0,-0.013,54.89,29.914)"> <use xlink:href="#g113-99"></use> </g> <g transform="matrix(.013,0,0,-0.013,63.9,29.914)"> <use xlink:href="#g117-33"></use> </g> <g transform="matrix(.013,0,0,-0.013,74.43,29.914)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.013,0,0,-0.013,83.92,29.914)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,94.45,29.914)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,100.45,33.046)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,105.39,29.914)"> <path d="M311 271V272C311 491 237 686 73 808L53 783C169 680 236 483 236 271C236 60 168 -138 53 -241L73 -266C237 -146 311 50 311 271Z" id="g119-6"></path> </g> <g transform="matrix(.013,0,0,-0.013,111.73,20.415)"> <use xlink:href="#g113-47"></use> </g> </g> </svg> <svg class="alt_equation" height="98.119pt" id="I72" version="1.1" viewbox="0 0 163.99 98.119" width="163.99pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 -11.23)" xlink:href="#B72-1"></use> <use transform="matrix(1 0 0 1 3.63 22.02)" xlink:href="#B72-2"></use> <use transform="matrix(1 0 0 1 3.63 64.27)" xlink:href="#B72-3"></use> </svg></span></span><span class="right_break" id="R72"> <svg class="label" height="11.44pt" id="M72-4" version="1.1" viewbox="0 0 19.728 11.44" width="19.728pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B72-4"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.82,9.26)"> <path d="M248 635C97 635 43 457 43 311C43 153 97 -12 247 -12S450 166 450 312C450 466 397 635 248 635ZM246 603C337 603 361 452 361 312S337 20 248 20S132 172 132 313C132 452 156 603 246 603Z" id="g190-254"></path> </g> <g transform="matrix(.013,0,0,-0.013,15.23,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg> <svg class="alt_label" height="98.119pt" id="IL72" version="1.1" viewbox="0 0 19.81 98.119" width="19.81pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <use transform="matrix(1 0 0 1 0 43.13)" xlink:href="#B72-4"></use> </svg></span></span></p> <p>计算的平均包延迟,我们使用小定理如下:<span class="equation_break" id="eq4"><span class="left_break" id="L73"></span><span class="middle_break"><span class="center_break" id="M73"> <svg height="26.9866pt" id="M73-1" version="1.1" viewbox="0 0 78.074 26.9866" width="78.074pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B73-1"> <g transform="matrix(.013,0,0,-0.013,0,17.555)"> <use xlink:href="#g113-70"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.19,17.796)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.69,17.555)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z" id="g113-69"></path> </g> <g transform="matrix(.013,0,0,-0.013,24.65,17.796)"> <use xlink:href="#g113-94"></use> </g> <g transform="matrix(.013,0,0,-0.013,32.82,17.555)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,45.27,9.047)"> <use xlink:href="#g113-70"></use> </g> <g transform="matrix(.013,0,0,-0.013,55.46,9.288)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,59.96,9.047)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,69.35,9.288)"> <use xlink:href="#g113-94"></use> </g> <rect height="0.65243" width="28.642" x="45.27" y="13.901"></rect> <g transform="matrix(.013,0,0,-0.013,55.99,26.78)"> <path d="M529 97L508 118C475 75 449 58 438 58C428 58 421 66 415 104C393 234 374 403 364 496C345 670 307 712 254 712C220 712 174 691 153 669L161 645C176 653 194 658 206 658C237 658 261 640 278 562C287 522 290 483 293 434C223 269 110 105 23 9L32 -12C59 -6 85 0 108 7C152 64 251 252 300 366C307 297 315 221 337 82C346 24 363 -12 393 -12C425 -12 475 13 529 97Z" id="g113-233"></path> </g> <g transform="matrix(.013,0,0,-0.013,75.11,17.555)"> <use xlink:href="#g113-45"></use> </g> </g> </svg></span></span><span class="right_break" id="R73"> <svg class="label" height="11.44pt" id="M73-2" version="1.1" viewbox="0 0 17.788 11.44" width="17.788pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B73-2"> <g transform="matrix(.013,0,0,-0.013,0,9.26)"> <use xlink:href="#g190-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.5,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.9,9.26)"> <use xlink:href="#g190-213"></use> </g> <g transform="matrix(.013,0,0,-0.013,13.29,9.26)"> <use xlink:href="#g190-42"></use> </g> </g> </svg></span></span>在到达率<svg height="9.49473pt" id="M74" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 7.30254 9.49473" width="7.30254pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-233"></use> </g> </svg>包单位时间可以描述的<span class="inline_break"> <svg height="13.8595pt" id="M75" style="vertical-align:-2.2681pt" version="1.1" viewbox="-0.0498162 -11.5914 18.437 13.8595" width="18.437pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-233"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.806,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span><span class="nowrap"> <svg height="13.8595pt" style="vertical-align:-2.2681pt" version="1.1" viewbox="22.018183800000003 -11.5914 33.642 13.8595" width="33.642pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,22.068,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,29.442,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,36.022,-5.741)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.969,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,45.467,0)"> <use xlink:href="#g113-115"></use> </g> <g transform="matrix(.013,0,0,-0.013,50.955,0)"> <use xlink:href="#g113-42"></use> </g> </svg>。</span></span></p> <p>最后,概率<svg height="11.7978pt" id="M76" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -11.5914 19.0474 11.7978" width="19.0474pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.374,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.954,-5.741)"> <use xlink:href="#g50-50"></use> </g> </svg>和<svg height="11.0031pt" id="M77" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -10.7967 20.18 11.0031" width="20.18pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.374,0)"> <use xlink:href="#g113-98"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,13.954,-5.741)"> <use xlink:href="#g54-36"></use> </g> </svg>不能直接派生自他们极大地依赖于网络拓扑结构和路由协议。我们相信,推导关闭这些概率的表达式超出了这个工作的范围,我们离开这个研究领域开放的未来的工作。然而,我们通过数值模拟的方法获得这些概率使用<我>自制的</我>网络模拟器建在c++中描述的算法<a href="//www.newsama.com/journals/js/2019/7409329/alg2/" target="_blank">2</a>。</p> <p>如前所述在系统模型中,生成新的数据包的概率<svg height="9.39034pt" id="M78" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.13289 9.39034" width="7.13289pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-239"></use> </g> </svg>和传输到特定的目的地节点中选择使用他们中间节点到达许多先进。每一对节点之间的数据包传输的概率<span class="nowrap"> <svg height="6.1673pt" id="M79" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 6.40217 6.1673" width="6.40217pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-241"></use> </g> </svg>。</span>从这个仿真,我们可以获得数值系统中每个节点的数据包到达概率。</p> <div class="floats-partial-section partial-other-wrapper" data-section="alg2"> <div class="floats-partial-content fig-content-alg2"> <table class="algorithm-group"> <tbody> <tr> <td> <table class="algorithm" id="alg2"> <tbody> <tr> <td colspan="2"><b>输入</b>:一个简单的连通图<我>G</我>(<我>V E</我>),<我>τ</我>,<我>ρ</我>,<我>maxSlots</我></td> </tr> <tr> <td colspan="2"><b>输出</b>:统计网络的性能</td> </tr> <tr> <td colspan="2"><b>1开始</b></td> </tr> <tr> <td colspan="2"><b>2</b>如果会有一个定义<我>refNode</我><b>和它的</b></td> </tr> <tr> <td colspan="2"><i>v<sub>我</sub></i><b>将。</b></td> </tr> <tr> <td colspan="2"><b>3,</b><i>slotCount</我><<我>maxSlots</我><b>做</b></td> </tr> <tr> <td colspan="2"><b>4 foreach</b> <svg height="11.927pt" id="M80" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 32.3931 11.927" width="32.3931pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,5.811,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.498,0)"> <path d="M448 1V51H364C248 51 153 129 140 230H448V280H140C153 381 248 459 364 459H448V509H365C208 509 80 395 80 255S208 1 365 1H448Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,22.994,0)"> <path d="M697 650H468L461 623L492 619C539 613 547 605 518 546C481 471 367 264 278 116H276C239 278 197 500 186 567C180 604 185 613 226 619L252 623L260 650H24L17 623C78 617 92 613 108 533L216 -11H247C365 200 515 462 560 529C616 612 624 615 689 623L697 650Z"></path> </g> </svg><b>做</b></td> </tr> <tr> <td colspan="2"><b>5</b><i>p</我>⟵<我>随机</我>(0,1)</td> </tr> <tr> <td colspan="2">6<b>如果</b><i>v<sub>我</sub></i>=<我>refNode<b>和</b>p</我>≤<我>ρ</我><b>然后</b></td> </tr> <tr> <td colspan="2"><b>7选择一个节点</b> <svg height="9.2729pt" id="M81" style="vertical-align:-0.6370001pt" version="1.1" viewbox="-0.0498162 -8.6359 27.9543 9.2729" width="27.9543pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M324 430H196L233 583L223 592L145 529L120 430H54L29 396L31 388H111L56 126C33 15 54 -12 77 -12C137 -12 214 57 250 95L233 119C208 92 155 59 138 59C126 59 120 70 131 125L186 390L298 394L324 430Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.065,0)"> <path d="M448 1V51H364C248 51 153 129 140 230H448V280H140C153 381 248 459 364 459H448V509H365C208 509 80 395 80 255S208 1 365 1H448Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,18.561,0)"> <path d="M697 650H468L461 623L492 619C539 613 547 605 518 546C481 471 367 264 278 116H276C239 278 197 500 186 567C180 604 185 613 226 619L252 623L260 650H24L17 623C78 617 92 613 108 533L216 -11H247C365 200 515 462 560 529C616 612 624 615 689 623L697 650Z"></path> </g> </svg>统一在</td> </tr> <tr> <td colspan="2"><b>随机的目的地</b>;<svg height="11.1049pt" id="M82" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.81382 28.361 11.1049" width="28.361pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M324 430H196L233 583L223 592L145 529L120 430H54L29 396L31 388H111L56 126C33 15 54 -12 77 -12C137 -12 214 57 250 95L233 119C208 92 155 59 138 59C126 59 120 70 131 125L186 390L298 394L324 430Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.065,0)"> <path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,19.328,0)"> <path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,25.139,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> </svg></td> </tr> <tr> <td colspan="2"><b>8</b> <svg height="11.3019pt" id="M83" style="vertical-align:-5.34099pt" version="1.1" viewbox="-0.0498162 -5.96091 16.5742 11.3019" width="16.5742pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M383 397C383 424 344 448 299 448C244 448 172 409 132 375C66 319 23 227 23 146C23 42 74 -12 146 -12C208 -12 298 30 359 103L343 124C315 95 248 48 192 48C145 48 111 85 111 163C111 228 129 294 151 330C171 363 201 401 241 401C275 401 302 384 325 356C332 347 339 344 348 348C373 360 383 381 383 397Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,4.173,3.132)"> <path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z"></path> </g> <g transform="matrix(.0065,0,0,-0.0065,8.241,5.233)"> <path d="M256 606C256 635 239 657 207 657C171 657 147 619 147 593C147 563 173 543 194 543C234 543 256 573 256 606ZM233 98L216 125C191 101 156 75 139 75C133 75 132 82 139 107L214 377C226 420 224 454 198 454C169 454 98 415 31 351L46 323C81 353 110 372 116 372C129 372 126 356 121 338L57 101C31 5 47 -12 72 -12C115 -12 197 52 233 98Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,10.611,3.132)"> <path d="M98 134C72 134 46 117 46 90C46 73 55 65 60 64C95 55 124 32 124 -4C124 -42 95 -68 44 -89L57 -123C122 -104 194 -60 194 22C194 94 136 134 98 134Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,12.768,3.132)"> <path d="M329 433H203L239 587L230 596L147 534L123 433H57L30 395L34 388H115L61 129C37 16 59 -12 85 -12C147 -12 222 58 260 98L241 125C212 95 160 62 144 62C132 62 127 71 138 126L192 386L305 394L329 433Z"></path> </g> </svg>⟵<b>最短路径</b><i>v<sub>我</sub></i>来<我>t</我></td> </tr> <tr> <td colspan="2"><b>9队列一个新的</b><i>pkt</我><b>在</b><i>v<sub>我</sub></i><b>的缓冲与路线</b></td> </tr> <tr> <td colspan="2"> <svg height="11.3019pt" id="M84" style="vertical-align:-5.34099pt" version="1.1" viewbox="-0.0498162 -5.96091 16.5742 11.3019" width="16.5742pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M383 397C383 424 344 448 299 448C244 448 172 409 132 375C66 319 23 227 23 146C23 42 74 -12 146 -12C208 -12 298 30 359 103L343 124C315 95 248 48 192 48C145 48 111 85 111 163C111 228 129 294 151 330C171 363 201 401 241 401C275 401 302 384 325 356C332 347 339 344 348 348C373 360 383 381 383 397Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,4.173,3.132)"> <path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z"></path> </g> <g transform="matrix(.0065,0,0,-0.0065,8.241,5.233)"> <path d="M256 606C256 635 239 657 207 657C171 657 147 619 147 593C147 563 173 543 194 543C234 543 256 573 256 606ZM233 98L216 125C191 101 156 75 139 75C133 75 132 82 139 107L214 377C226 420 224 454 198 454C169 454 98 415 31 351L46 323C81 353 110 372 116 372C129 372 126 356 121 338L57 101C31 5 47 -12 72 -12C115 -12 197 52 233 98Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,10.611,3.132)"> <path d="M98 134C72 134 46 117 46 90C46 73 55 65 60 64C95 55 124 32 124 -4C124 -42 95 -68 44 -89L57 -123C122 -104 194 -60 194 22C194 94 136 134 98 134Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,12.768,3.132)"> <path d="M329 433H203L239 587L230 596L147 534L123 433H57L30 395L34 388H115L61 129C37 16 59 -12 85 -12C147 -12 222 58 260 98L241 125C212 95 160 62 144 62C132 62 127 71 138 126L192 386L305 394L329 433Z"></path> </g> </svg></td> </tr> <tr> <td colspan="2"><b>10结束</b></td> </tr> <tr> <td colspan="2"><b>11日结束</b></td> </tr> <tr> <td colspan="2"><b>12个foreach</b> <svg height="11.927pt" id="M85" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 32.3931 11.927" width="32.3931pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,5.811,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.498,0)"> <path d="M448 1V51H364C248 51 153 129 140 230H448V280H140C153 381 248 459 364 459H448V509H365C208 509 80 395 80 255S208 1 365 1H448Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,22.994,0)"> <path d="M697 650H468L461 623L492 619C539 613 547 605 518 546C481 471 367 264 278 116H276C239 278 197 500 186 567C180 604 185 613 226 619L252 623L260 650H24L17 623C78 617 92 613 108 533L216 -11H247C365 200 515 462 560 529C616 612 624 615 689 623L697 650Z"></path> </g> </svg><b>做</b></td> </tr> <tr> <td colspan="2"><b>13</b><i>p</我>⟵<我>随机</我>(0,1)</td> </tr> <tr> <td colspan="2"><b>14如果</b><i>v<sub>我</sub><b>包在其缓冲</b>p≤τ</我><b>然后</b></td> </tr> <tr> <td colspan="2"><b>15试图传递下一个</b><i>pkt</我><b>在</b><i>v<sub>我</sub></i><b>的</b></td> </tr> <tr> <td colspan="2">缓冲</td> </tr> <tr> <td colspan="2"><b>16日结束</b></td> </tr> <tr> <td colspan="2"><b>17日结束</b></td> </tr> <tr> <td colspan="2"><b>18 foreach</b> <svg height="11.927pt" id="M86" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 32.3931 11.927" width="32.3931pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,5.811,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.498,0)"> <path d="M448 1V51H364C248 51 153 129 140 230H448V280H140C153 381 248 459 364 459H448V509H365C208 509 80 395 80 255S208 1 365 1H448Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,22.994,0)"> <path d="M697 650H468L461 623L492 619C539 613 547 605 518 546C481 471 367 264 278 116H276C239 278 197 500 186 567C180 604 185 613 226 619L252 623L260 650H24L17 623C78 617 92 613 108 533L216 -11H247C365 200 515 462 560 529C616 612 624 615 689 623L697 650Z"></path> </g> </svg><b>做</b></td> </tr> <tr> <td colspan="2"><b>19日检查每一个的地位</b><i>pkt</我><b>在</b><i>v<sub>我</sub></i><b>和</b></td> </tr> <tr> <td colspan="2"><b>做计算。</b></td> </tr> <tr> <td colspan="2"><b>20结束</b></td> </tr> <tr> <td colspan="2"><b>21</b><i>slotCount</我>+ +</td> </tr> <tr> <td colspan="2"><b>22日结束</b></td> </tr> <tr> <td colspan="2"><b>23日计算</b><i>巴勒斯坦权力机构</我><sup>1</sup>,<我>巴勒斯坦权力机构</我><sup>+</sup>,<我>P</我>(<我>问</我>= 0),<我>E</我>(<我>问</我>]</td> </tr> <tr> <td colspan="2"><b>24日计算</b><i>E</我>(<我>D<sub>e</sub></i>]</td> </tr> <tr> <td colspan="2"><b>25日结束</b></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">算法2</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/alg2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 模拟器的一般操作。</d我v> </div> </div> </div> <h4 id="numerical-results">5。数值结果</h4> <p>在本节中,我们提供最相关的结果,描述系统的性能基于图形的属性用于定义网络的拓扑结构。</p> <p>我们首先验证数学模型通过比较分析结果对系统仿真结果。在图<a href="//www.newsama.com/journals/js/2019/7409329/fig4/" target="_blank">4</a>,我们展示了平均的缓冲区大小的对比结果与200节点系统仿真和DTMC网络和不同的价值观<span class="nowrap"> <svg height="6.1673pt" id="M87" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 6.40217 6.1673" width="6.40217pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-241"></use> </g> </svg>。</span>用于获得系统参数计算结果和绝对平均误差如表所示<a href="//www.newsama.com/journals/js/2019/7409329/tab1/" target="_blank">1</a>。我们可以看到一个非常好的匹配所有分布和不同的图形。具体来说,最好的近似发生指数和幂律分布,主要功能在哪里,林祖嘉价值远远大于密度。</p> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig4"> <div class="floats-partial-content fig-content-fig4"> <div class="partial-carousel--single-image"> <img alt="(一)二项(200,0.95)”name="7409329.fig.004a" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.004a.svgz"> <br> <strong>(一)二项(200,0.95)</strong> </div> <div class="partial-carousel--single-image"> <img alt="(b)指数(0.05)”name="7409329.fig.004b" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.004b.svgz"> <br> <strong>(b)指数(0.05)</strong> </div> <div class="partial-carousel--single-image"> <img alt="(c)极端值(180 4)”name="7409329.fig.004c" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.004c.svgz"> <br> <strong>(c)极端值(180 4)</strong> </div> <div class="partial-carousel--single-image"> <img alt="(d)正常(195 2)”name="7409329.fig.004d" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.004d.svgz"> <br> <strong>(d)正常(195 2)</strong> </div> <div class="partial-carousel--single-image"> <img alt="(e)幂律(1.7)”name="7409329.fig.004e" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.004e.svgz"> <br> <strong>(e)幂律(1.7)</strong> </div> <div class="partial-carousel--single-image"> <img alt="(f)制服(190,195)”name="7409329.fig.004f" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.004f.svgz"> <br> <strong>(f)制服(190,195)</strong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig4"> <button class="partial-carousel-dot" aria-label="(a) Binomial (200, 0.95)"><img alt="(一)二项(200,0.95)”name="7409329.fig.004a" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.004a.svgz"><br><strong>(一)二项(200,0.95)</strong></button> <button class="partial-carousel-dot" aria-label="(b) Exponential (0.05)"><img alt="(b)指数(0.05)”name="7409329.fig.004b" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.004b.svgz"><br><strong>(b)指数(0.05)</strong></button> <button class="partial-carousel-dot" aria-label="(c) Extreme values (180, 4)"><img alt="(c)极端值(180 4)”name="7409329.fig.004c" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.004c.svgz"><br><strong>(c)极端值(180 4)</strong></button> <button class="partial-carousel-dot" aria-label="(d) Normal (195, 2)"><img alt="(d)正常(195 2)”name="7409329.fig.004d" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.004d.svgz"><br><strong>(d)正常(195 2)</strong></button> <button class="partial-carousel-dot" aria-label="(e) Power law (1.7)"><img alt="(e)幂律(1.7)”name="7409329.fig.004e" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.004e.svgz"><br><strong>(e)幂律(1.7)</strong></button> <button class="partial-carousel-dot" aria-label="(f) Uniform (190, 195)"><img alt="(f)制服(190,195)”name="7409329.fig.004f" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.004f.svgz"><br><strong>(f)制服(190,195)</strong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig4"> <button class="carousel-prev" aria-label="Previous"></button> <button class="carousel-next" aria-label="Next"></button> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图4</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/fig4/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 比较的<svg height="11.439pt" id="M88" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 26.5625 11.439" width="26.5625pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.008,0)"> <path d="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.493,0)"> <path d="M699 368C699 549 574 666 407 666C186 666 23 488 23 277C23 113 129 -3 288 -13L307 -26C431 -111 501 -139 533 -147C559 -154 613 -163 658 -164L666 -141C597 -111 507 -66 430 -11L416 -1C580 42 699 190 699 368ZM601 371C601 227 518 54 381 22L354 40L278 24C175 47 120 145 120 269C120 451 235 631 398 631C540 631 601 521 601 371Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,21.88,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z"></path> </g> </svg>系统仿真和DTMC模型之间的200个节点的网络。</d我v> </div> </div> </div> <div class="floats-partial-section partial-other-wrapper" data-section="tab1"> <div class="floats-partial-content fig-content-tab1"> <table class="table-group" id="tab1"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="6"> <hr></td> </tr> <tr class="thead"> <td class="align_left">分布</td> <td class="align_center">贝</td> <td class="align_center">密度</td> <td class="align_center">公元</td> <td class="align_center">直径</td> <td class="align_center">平均绝对误差百分比</td> </tr> <tr> <td class="thead-hr" colspan="6"> <hr></td> </tr> <tr> <td class="align_left">二项(200,0.95)</td> <td class="align_center">0.9537</td> <td class="align_center">0.953869</td> <td class="align_center">1.04613</td> <td class="align_center">2</td> <td class="align_center">10.2505%</td> </tr> <tr> <td class="align_left">指数(0.05)</td> <td class="align_center">0.3328</td> <td class="align_center">0.0998995</td> <td class="align_center">2.25</td> <td class="align_center">6</td> <td class="align_center">0.5596%</td> </tr> <tr> <td class="align_left">极端值(180 4)</td> <td class="align_center">0.9195</td> <td class="align_center">0.917136</td> <td class="align_center">1.08286</td> <td class="align_center">2</td> <td class="align_center">4.3269%</td> </tr> <tr> <td class="align_left">正常(195 2)</td> <td class="align_center">0.9806</td> <td class="align_center">0.979799</td> <td class="align_center">1.0202</td> <td class="align_center">2</td> <td class="align_center">20.8797%</td> </tr> <tr> <td class="align_left">幂律(1.7)</td> <td class="align_center">0.664</td> <td class="align_center">0.0439196</td> <td class="align_center">1.98553</td> <td class="align_center">3</td> <td class="align_center">0.7926%</td> </tr> <tr> <td class="align_left">制服(190、195)</td> <td class="align_center">0.9658</td> <td class="align_center">0.966884</td> <td class="align_center">1.03312</td> <td class="align_center">2</td> <td class="align_center">13.9472%</td> </tr> <tr class="table-tr"> <td colspan="6"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表1</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/tab1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 属性和平均绝对误差与200个节点图。</d我v> </div> </div> </div> <p>为了看看网络中节点的数量相关影响模型的准确性,我们考虑的情况下从10到50个节点网络与幂律分布如图<a href="//www.newsama.com/journals/js/2019/7409329/fig5/" target="_blank">5</a>。可以看出,随着系统中节点的数目增加,较低之间的误差分析和仿真结果。</p> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig5"> <div class="floats-partial-content fig-content-fig5"> <div class="partial-carousel--single-image"> <img alt="(一)10节点”name="7409329.fig.005a" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.005a.svgz"> <br> <strong>(一)10节点</strong> </div> <div class="partial-carousel--single-image"> <img alt="(b) 20节点”name="7409329.fig.005b" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.005b.svgz"> <br> <strong>(b) 20节点</strong> </div> <div class="partial-carousel--single-image"> <img alt="(c) 30节点”name="7409329.fig.005c" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.005c.svgz"> <br> <strong>(c) 30节点</strong> </div> <div class="partial-carousel--single-image"> <img alt="(d) 40节点”name="7409329.fig.005d" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.005d.svgz"> <br> <strong>(d) 40节点</strong> </div> <div class="partial-carousel--single-image"> <img alt="50 (e)节点”name="7409329.fig.005e" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.005e.svgz"> <br> <strong>50 (e)节点</strong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig5"> <button class="partial-carousel-dot" aria-label="(a) 10 nodes"><img alt="(一)10节点”name="7409329.fig.005a" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.005a.svgz"><br><strong>(一)10节点</strong></button> <button class="partial-carousel-dot" aria-label="(b) 20 nodes"><img alt="(b) 20节点”name="7409329.fig.005b" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.005b.svgz"><br><strong>(b) 20节点</strong></button> <button class="partial-carousel-dot" aria-label="(c) 30 nodes"><img alt="(c) 30节点”name="7409329.fig.005c" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.005c.svgz"><br><strong>(c) 30节点</strong></button> <button class="partial-carousel-dot" aria-label="(d) 40 nodes"><img alt="(d) 40节点”name="7409329.fig.005d" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.005d.svgz"><br><strong>(d) 40节点</strong></button> <button class="partial-carousel-dot" aria-label="(e) 50 nodes"><img alt="50 (e)节点”name="7409329.fig.005e" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.005e.svgz"><br><strong>50 (e)节点</strong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig5"> <button class="carousel-prev" aria-label="Previous"></button> <button class="carousel-next" aria-label="Next"></button> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图5</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/fig5/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 比较的<svg height="11.439pt" id="M89" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 26.5625 11.439" width="26.5625pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.008,0)"> <path d="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.493,0)"> <path d="M699 368C699 549 574 666 407 666C186 666 23 488 23 277C23 113 129 -3 288 -13L307 -26C431 -111 501 -139 533 -147C559 -154 613 -163 658 -164L666 -141C597 -111 507 -66 430 -11L416 -1C580 42 699 190 699 368ZM601 371C601 227 518 54 381 22L354 40L278 24C175 47 120 145 120 269C120 451 235 631 398 631C540 631 601 521 601 371Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,21.88,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z"></path> </g> </svg>系统仿真和DTMC之间的模型。</d我v> </div> </div> </div> <p>到目前为止,我们已经将DTMC结果与网络由我们的算法,这在某种程度上可以被认为是随机拓扑。但也有特殊情况的网络模型的条件更适合系统的条件。回想一下,数学模型的主要假设是一个参考节点相似的邻国的交通状况,在这样一种方式来考虑数据包到达的概率是相等的。为此,我们考虑一个51-node网络拓扑结构,所有的链接都对称的四面八方,所以交通状况在参考节点完成。在图<a href="//www.newsama.com/journals/js/2019/7409329/fig6/" target="_blank">6</a>我们展示这些网络的图形表示。注意,图1是树,和其余的图是图1的一些变化与小突变变化在某种程度上图形的属性,因为它是在表中定义<a href="//www.newsama.com/journals/js/2019/7409329/tab2/" target="_blank">2</a>,我们也存在之间的平均绝对百分误差分析和仿真结果。具体来说,在图1中,2,3,密度增加而贝是相同的。在这种情况下,错误也会增加,但不超过3%。在图4中,林祖嘉更小,同时在图5中,贝比密度高。在图6中,林祖嘉相当比密度值和误差在5%以上。</p> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig6"> <div class="floats-partial-content fig-content-fig6"> <div class="partial-carousel--single-image"> <img alt="(一)图1所示”name="7409329.fig.006a" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.006a.svgz"> <br> <strong>(一)图1所示</strong> </div> <div class="partial-carousel--single-image"> <img alt="(b)图2所示”name="7409329.fig.006b" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.006b.svgz"> <br> <strong>(b)图2所示</strong> </div> <div class="partial-carousel--single-image"> <img alt="(c)图3所示”name="7409329.fig.006c" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.006c.svgz"> <br> <strong>(c)图3所示</strong> </div> <div class="partial-carousel--single-image"> <img alt="(d)图4所示”name="7409329.fig.006d" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.006d.svgz"> <br> <strong>(d)图4所示</strong> </div> <div class="partial-carousel--single-image"> <img alt="(e)图5所示”name="7409329.fig.006e" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.006e.svgz"> <br> <strong>(e)图5所示</strong> </div> <div class="partial-carousel--single-image"> <img alt="(f)图6所示”name="7409329.fig.006f" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.006f.svgz"> <br> <strong>(f)图6所示</strong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig6"> <button class="partial-carousel-dot" aria-label="(a) Graph 1"><img alt="(一)图1所示”name="7409329.fig.006a" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.006a.svgz"><br><strong>(一)图1所示</strong></button> <button class="partial-carousel-dot" aria-label="(b) Graph 2"><img alt="(b)图2所示”name="7409329.fig.006b" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.006b.svgz"><br><strong>(b)图2所示</strong></button> <button class="partial-carousel-dot" aria-label="(c) Graph 3"><img alt="(c)图3所示”name="7409329.fig.006c" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.006c.svgz"><br><strong>(c)图3所示</strong></button> <button class="partial-carousel-dot" aria-label="(d) Graph 4"><img alt="(d)图4所示”name="7409329.fig.006d" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.006d.svgz"><br><strong>(d)图4所示</strong></button> <button class="partial-carousel-dot" aria-label="(e) Graph 5"><img alt="(e)图5所示”name="7409329.fig.006e" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.006e.svgz"><br><strong>(e)图5所示</strong></button> <button class="partial-carousel-dot" aria-label="(f) Graph 6"><img alt="(f)图6所示”name="7409329.fig.006f" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.006f.svgz"><br><strong>(f)图6所示</strong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig6"> <button class="carousel-prev" aria-label="Previous"></button> <button class="carousel-next" aria-label="Next"></button> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图6</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/fig6/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 51节点图理想形式的数学模型。</d我v> </div> </div> </div> <div class="floats-partial-section partial-other-wrapper" data-section="tab2"> <div class="floats-partial-content fig-content-tab2"> <table class="table-group" id="tab2"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="6"> <hr></td> </tr> <tr class="thead"> <td class="align_left">图的名字</td> <td class="align_center">贝</td> <td class="align_center">密度</td> <td class="align_center">公元</td> <td class="align_center">直径</td> <td class="align_center">平均绝对误差百分比</td> </tr> <tr> <td class="thead-hr" colspan="6"> <hr></td> </tr> <tr> <td class="align_left">图1</td> <td class="align_center">0</td> <td class="align_center">0.0392157</td> <td class="align_center">4.47843</td> <td class="align_center">6</td> <td class="align_center">1.9978%</td> </tr> <tr> <td class="align_left">图2</td> <td class="align_center">0</td> <td class="align_center">0.0431373</td> <td class="align_center">4.20784</td> <td class="align_center">6</td> <td class="align_center">3.4965%</td> </tr> <tr> <td class="align_left">图3</td> <td class="align_center">0</td> <td class="align_center">0.0509804</td> <td class="align_center">4.12549</td> <td class="align_center">6</td> <td class="align_center">2.8714%</td> </tr> <tr> <td class="align_left">图4</td> <td class="align_center">0.0222</td> <td class="align_center">0.0431373</td> <td class="align_center">4.08627</td> <td class="align_center">6</td> <td class="align_center">5.0145%</td> </tr> <tr> <td class="align_left">图5</td> <td class="align_center">0.08834</td> <td class="align_center">0.0509804</td> <td class="align_center">4.01569</td> <td class="align_center">6</td> <td class="align_center">3.8470%</td> </tr> <tr> <td class="align_left">图6</td> <td class="align_center">0.71935</td> <td class="align_center">0.0627451</td> <td class="align_center">4.00392</td> <td class="align_center">6</td> <td class="align_center">5.1753%</td> </tr> <tr class="table-tr"> <td colspan="6"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表2</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/tab2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 网络的属性和平均绝对误差分布均匀程度(5,10)。</d我v> </div> </div> </div> <p>最后,随着节点数量的增加,我们可以看到一个更好的适合分析结果和仿真结果之间的分布如图<a href="//www.newsama.com/journals/js/2019/7409329/fig7/" target="_blank">7</a>。</p> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig7"> <div class="floats-partial-content fig-content-fig7"> <div class="partial-carousel--single-image"> <img alt="(一)指数(0.05)”name="7409329.fig.007a" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.007a.svgz"> <br> <strong>(一)指数(0.05)</strong> </div> <div class="partial-carousel--single-image"> <img alt="(b)幂律(3)”name="7409329.fig.007b" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.007b.svgz"> <br> <strong>(b)幂律(3)</strong> </div> <div class="partial-carousel--single-image"> <img alt="(c)制服(5,10)”name="7409329.fig.007c" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.007c.svgz"> <br> <strong>(c)制服(5,10)</strong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig7"> <button class="partial-carousel-dot" aria-label="(a) Exponential (0.05)"><img alt="(一)指数(0.05)”name="7409329.fig.007a" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.007a.svgz"><br><strong>(一)指数(0.05)</strong></button> <button class="partial-carousel-dot" aria-label="(b) Power law (3)"><img alt="(b)幂律(3)”name="7409329.fig.007b" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.007b.svgz"><br><strong>(b)幂律(3)</strong></button> <button class="partial-carousel-dot" aria-label="(c) Uniform (5, 10)"><img alt="(c)制服(5,10)”name="7409329.fig.007c" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.007c.svgz"><br><strong>(c)制服(5,10)</strong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig7"> <button class="carousel-prev" aria-label="Previous"></button> <button class="carousel-next" aria-label="Next"></button> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图7</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/fig7/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 行为从数量的节点平均绝对百分比误差的观点。</d我v> </div> </div> </div> <p>现在我们验证数学模型,我们调查的属性图的影响系统的性能。为此,我们首先研究不同程度分布的影响不同数量的节点在网络中。为此,我们考虑上述不同的概率分布函数描述为每个网络密度与他们的具体参数。提出了这些参数和数值表<a href="//www.newsama.com/journals/js/2019/7409329/tab3/" target="_blank">3</a>。</p> <div class="floats-partial-section partial-other-wrapper" data-section="tab3"> <div class="floats-partial-content fig-content-tab3"> <table class="table-group" id="tab3"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="5"> <hr></td> </tr> <tr class="thead"> <td class="align_left">的节点数量</td> <td class="align_center">50个节点</td> <td class="align_center">100个节点</td> <td class="align_center">150个节点</td> <td class="align_center">200个节点</td> </tr> <tr> <td class="thead-hr" colspan="5"> <hr></td> </tr> <tr> <td class="align_left" rowspan="6">分布参数</td> <td class="align_center">二项(50,0.95)</td> <td class="align_center">二项(100,0.95)</td> <td class="align_center">二项(150,0.95)</td> <td class="align_center">二项(200,0.95)</td> </tr> <tr> <td class="align_center">指数(0.05)</td> <td class="align_center">指数(0.05)</td> <td class="align_center">指数(0.05)</td> <td class="align_center">指数(0.05)</td> </tr> <tr> <td class="align_center">4)极端值(30日</td> <td class="align_center">极端值(80 4)</td> <td class="align_center">极端值(130 4)</td> <td class="align_center">极端值(180 4)</td> </tr> <tr> <td class="align_center">正常(45岁,2)</td> <td class="align_center">正常(95 2)</td> <td class="align_center">正常(145 2)</td> <td class="align_center">正常(195 2)</td> </tr> <tr> <td class="align_center">幂律(1.7)</td> <td class="align_center">幂律(1.7)</td> <td class="align_center">幂律(1.7)</td> <td class="align_center">幂律(1.7)</td> </tr> <tr> <td class="align_center">制服(40、45)</td> <td class="align_center">制服(90、95)</td> <td class="align_center">制服(140、145)</td> <td class="align_center">制服(190、195)</td> </tr> <tr class="table-tr"> <td colspan="5"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表3</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/tab3/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 测试图度分布参数。</d我v> </div> </div> </div> <p>这些图都是由这些序列使用Havel-Hakimi方法中描述的算法<a href="//www.newsama.com/journals/js/2019/7409329/alg5/" target="_blank">5</a>。以下参数被用于数据包流量<span class="inline_break"> <svg height="9.46863pt" id="M90" style="vertical-align:-1.11981pt" version="1.1" viewbox="-0.0498162 -8.34882 26.707 9.46863" width="26.707pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,6.24,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.204,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.076,0)"> <use xlink:href="#g117-93"></use> </g> </svg><span class="irelop"></span> <svg height="9.46863pt" style="vertical-align:-1.11981pt" version="1.1" viewbox="30.2891838 -8.34882 17.545 9.46863" width="17.545pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,30.339,0)"> <use xlink:href="#g113-241"></use> </g> <g transform="matrix(.013,0,0,-0.013,40.253,0)"> <use xlink:href="#g117-93"></use> </g> </svg><span class="irelop"></span> <svg height="9.46863pt" style="vertical-align:-1.11981pt" version="1.1" viewbox="51.466183799999996 -8.34882 15.737 9.46863" width="15.737pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,51.516,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,57.756,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,60.72,0)"> <path d="M249 635C141 635 70 555 70 471C70 401 114 353 179 316C143 294 106 267 90 252C68 231 45 202 45 157C45 50 130 -12 237 -12C322 -12 435 52 435 169C435 256 372 304 303 343C349 374 375 398 383 407C401 429 411 458 411 487C411 569 344 635 249 635ZM238 603C285 603 337 567 337 482C337 422 310 385 276 358C205 393 145 426 145 500C145 552 179 603 238 603ZM248 20C183 20 125 70 125 163C125 218 158 268 206 300C284 261 355 217 355 143C355 66 308 20 248 20Z" id="g113-57"></path> </g> </svg></span>和<span class="inline_break"> <svg height="15.0208pt" id="M91" style="vertical-align:-3.429399pt" version="1.1" viewbox="-0.0498162 -11.5914 16.776 15.0208" width="16.776pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.145,0)"> <path d="M528 54L331 254L528 455L492 493L294 291L96 493L60 455L257 254L60 54L96 16L294 217L492 16L528 54Z" id="g117-42"></path> </g> </svg><span class="ibiop"></span> <svg height="15.0208pt" style="vertical-align:-3.429399pt" version="1.1" viewbox="19.6321838 -11.5914 34.317 15.0208" width="34.317pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,19.682,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,25.922,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,32.209,-5.741)"> <use xlink:href="#g54-33"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,37.769,-5.741)"> <path d="M158 548H390L417 615L410 623H122L83 318C105 326 143 337 185 337C296 337 350 275 350 188C350 116 308 42 225 42C164 42 122 74 100 93C90 101 82 99 72 92C60 82 51 68 50 59C48 46 52 38 66 24C82 9 125 -12 172 -12C225 -11 292 15 346 59C408 108 437 166 437 226C437 309 371 397 242 397C214 397 170 382 133 369L158 548Z" id="g50-54"></path> </g> <g transform="matrix(.013,0,0,-0.013,46.368,0)"> <use xlink:href="#g117-93"></use> </g> </svg><span class="irelop"></span> <svg height="15.0208pt" style="vertical-align:-3.429399pt" version="1.1" viewbox="57.5811838 -11.5914 18.273 15.0208" width="18.273pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,57.631,0)"> <use xlink:href="#g113-239"></use> </g> <g transform="matrix(.013,0,0,-0.013,68.273,0)"> <use xlink:href="#g117-93"></use> </g> </svg><span class="irelop"></span> <svg height="15.0208pt" style="vertical-align:-3.429399pt" version="1.1" viewbox="79.4861838 -11.5914 16.776 15.0208" width="16.776pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,79.536,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,88.681,0)"> <use xlink:href="#g117-42"></use> </g> </svg><span class="ibiop"></span><span class="nowrap"> <svg height="15.0208pt" style="vertical-align:-3.429399pt" version="1.1" viewbox="99.16818380000001 -11.5914 23.338 15.0208" width="23.338pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,99.218,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,105.458,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,111.745,-5.741)"> <use xlink:href="#g54-33"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,117.305,-5.741)"> <path d="M462 177V227H365V632H320C217 496 116 350 21 208V177H284V109C284 43 280 38 190 31V0H451V31C369 38 365 43 365 108V177H462ZM284 227H88C155 336 218 430 282 519H284V227Z" id="g50-53"></path> </g> </svg>。</span></span>我们花了一个<我>参考节点</我>短路径的节点存在于大多数每一对节点之间进行计算<span class="nowrap"> <svg height="11.439pt" id="M92" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 26.5625 11.439" width="26.5625pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-70"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.008,0)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.493,0)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.88,0)"> <use xlink:href="#g113-94"></use> </g> </svg>。</span>背后的原因选择参考节点以这种方式是因为每包生成遵循目标节点的最短路径。因此,参考节点是其中一个<我>瓶颈</我>的网络。换句话说,所选的节点可以被视为“最坏情况”,我们可以预见网络中的其他节点相同或更低的值的缓冲区大小。</p> <p>由于网络模拟器的开发,我们现在验证数学近似模型仿真结果以确定的准确性提出了分析框架。我们第一次的值相比平均缓冲区大小和平均分组延迟的所有学位分布的图形生成不同数量的节点在网络如图<a href="//www.newsama.com/journals/js/2019/7409329/fig8/" target="_blank">8</a>和<a href="//www.newsama.com/journals/js/2019/7409329/fig9/" target="_blank">9</a>,分别。可以看出,随着网络图的密度较高,意味着缓冲区大小的测量参考节点和平均端到端分组延迟都减少。此外,较低的平均缓冲区大小并不一定意味着较低的平均分组延迟。例如,考虑网络的情况下100个节点和新的数据包生成概率低(低报告环境)和低传输概率(低的值<span class="nowrap"> <svg height="6.1673pt" id="M93" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 6.40217 6.1673" width="6.40217pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-241"></use> </g> </svg>)。</span>在这种情况下,有几包系统作为参考节点有较低的平均缓冲区大小。然而,这些数据包需要很长时间才能可以传播的非常低的价值<span class="nowrap"> <svg height="6.1673pt" id="M94" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 6.40217 6.1673" width="6.40217pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-241"></use> </g> </svg>。</span>随着数据流量增加(<svg height="9.39034pt" id="M95" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.13289 9.39034" width="7.13289pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-239"></use> </g> </svg>增加),缓冲区大小但平均分组延迟并不总是增加。从这些结果,重要的是要注意,增加数据报告(新数据包的数量由节点)并不意味着系统的退化,只要适当的值<svg height="6.1673pt" id="M96" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 6.40217 6.1673" width="6.40217pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-241"></use> </g> </svg>被选中。这个不错的选择可以通过使用这些结果提出了为了达到一个特定的平均分组延迟的目标。</p> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig8"> <div class="floats-partial-content fig-content-fig8"> <div class="partial-carousel--single-image"> <img alt="(一)50节点图”name="7409329.fig.008a" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.008a.svgz"> <br> <strong>(一)50节点图</strong> </div> <div class="partial-carousel--single-image"> <img alt="(b) 100个节点图”name="7409329.fig.008b" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.008b.svgz"> <br> <strong>(b) 100个节点图</strong> </div> <div class="partial-carousel--single-image"> <img alt="(c) 150个节点图”name="7409329.fig.008c" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.008c.svgz"> <br> <strong>(c) 150个节点图</strong> </div> <div class="partial-carousel--single-image"> <img alt="(d) 200个节点图”name="7409329.fig.008d" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.008d.svgz"> <br> <strong>(d) 200个节点图</strong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig8"> <button class="partial-carousel-dot" aria-label="(a) 50 nodes graphs"><img alt="(一)50节点图”name="7409329.fig.008a" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.008a.svgz"><br><strong>(一)50节点图</strong></button> <button class="partial-carousel-dot" aria-label="(b) 100 nodes graphs"><img alt="(b) 100个节点图”name="7409329.fig.008b" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.008b.svgz"><br><strong>(b) 100个节点图</strong></button> <button class="partial-carousel-dot" aria-label="(c) 150 nodes graphs"><img alt="(c) 150个节点图”name="7409329.fig.008c" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.008c.svgz"><br><strong>(c) 150个节点图</strong></button> <button class="partial-carousel-dot" aria-label="(d) 200 nodes graphs"><img alt="(d) 200个节点图”name="7409329.fig.008d" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.008d.svgz"><br><strong>(d) 200个节点图</strong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig8"> <button class="carousel-prev" aria-label="Previous"></button> <button class="carousel-next" aria-label="Next"></button> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图8</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/fig8/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 比较的<svg height="11.439pt" id="M97" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 26.5625 11.439" width="26.5625pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.008,0)"> <path d="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.493,0)"> <path d="M699 368C699 549 574 666 407 666C186 666 23 488 23 277C23 113 129 -3 288 -13L307 -26C431 -111 501 -139 533 -147C559 -154 613 -163 658 -164L666 -141C597 -111 507 -66 430 -11L416 -1C580 42 699 190 699 368ZM601 371C601 227 518 54 381 22L354 40L278 24C175 47 120 145 120 269C120 451 235 631 398 631C540 631 601 521 601 371Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,21.88,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z"></path> </g> </svg>之间与相同数量的节点图。</d我v> </div> </div> </div> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig9"> <div class="floats-partial-content fig-content-fig9"> <div class="partial-carousel--single-image"> <img alt="(一)50节点图”name="7409329.fig.009a" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.009a.svgz"> <br> <strong>(一)50节点图</strong> </div> <div class="partial-carousel--single-image"> <img alt="(b) 100个节点图”name="7409329.fig.009b" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.009b.svgz"> <br> <strong>(b) 100个节点图</strong> </div> <div class="partial-carousel--single-image"> <img alt="(c) 150个节点图”name="7409329.fig.009c" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.009c.svgz"> <br> <strong>(c) 150个节点图</strong> </div> <div class="partial-carousel--single-image"> <img alt="(d) 200个节点图”name="7409329.fig.009d" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.009d.svgz"> <br> <strong>(d) 200个节点图</strong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig9"> <button class="partial-carousel-dot" aria-label="(a) 50 nodes graphs"><img alt="(一)50节点图”name="7409329.fig.009a" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.009a.svgz"><br><strong>(一)50节点图</strong></button> <button class="partial-carousel-dot" aria-label="(b) 100 nodes graphs"><img alt="(b) 100个节点图”name="7409329.fig.009b" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.009b.svgz"><br><strong>(b) 100个节点图</strong></button> <button class="partial-carousel-dot" aria-label="(c) 150 nodes graphs"><img alt="(c) 150个节点图”name="7409329.fig.009c" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.009c.svgz"><br><strong>(c) 150个节点图</strong></button> <button class="partial-carousel-dot" aria-label="(d) 200 nodes graphs"><img alt="(d) 200个节点图”name="7409329.fig.009d" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.009d.svgz"><br><strong>(d) 200个节点图</strong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig9"> <button class="carousel-prev" aria-label="Previous"></button> <button class="carousel-next" aria-label="Next"></button> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图9</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/fig9/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 比较的<svg height="12.5794pt" id="M98" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 31.4241 12.5794" width="31.4241pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.008,0)"> <path d="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.493,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,22.386,3.132)"> <path d="M398 365C398 411 356 451 297 451C250 451 198 430 151 397C65 336 24 230 24 139C24 14 97 -12 148 -12C198 -12 284 7 373 104L355 130C306 84 246 53 198 53C132 53 111 109 111 163V189C209 211 398 261 398 365ZM317 351C317 308 273 262 117 225C134 338 189 383 221 399C230 404 249 407 263 407C295 407 317 389 317 351Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,26.739,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z"></path> </g> </svg>之间与相同数量的节点图。</d我v> </div> </div> </div> <p>在表<a href="//www.newsama.com/journals/js/2019/7409329/tab4/" target="_blank">4</a>,我们显示最相关的图表用于这些实验值,如最小和最大的值<svg height="11.439pt" id="M99" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 26.5625 11.439" width="26.5625pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-70"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.008,0)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.493,0)"> <use xlink:href="#g113-82"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.88,0)"> <use xlink:href="#g113-94"></use> </g> </svg>和<span class="nowrap"> <svg height="12.5794pt" id="M100" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 31.4241 12.5794" width="31.4241pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-70"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.008,0)"> <use xlink:href="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.493,0)"> <use xlink:href="#g113-69"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,22.386,3.132)"> <use xlink:href="#g50-102"></use> </g> <g transform="matrix(.013,0,0,-0.013,26.739,0)"> <use xlink:href="#g113-94"></use> </g> </svg>,</span>和平均聚类系数、密度、平均距离和直径。这些结果可以使用由网络管理员为了实现关键绩效指标基于给定的网络拓扑。此外,如果当前拓扑并不是最适合,它可以通过添加或修改某些节点移动。例如,考虑这样一种情况,当当前网络的拓扑描述150年的指数分布节点放置在充满敌意的环境中。在这种情况下,最大数据包延迟21.25时段。这个值可能高于预期的基础上提供的特定服务。然后,网络管理员可以取代某些节点为了现在正态分布依据10.52时段最大数据包延迟。</p> <div class="floats-partial-section partial-other-wrapper" data-section="tab4"> <div class="floats-partial-content fig-content-tab4"> <table class="table-group" id="tab4"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="10"> <hr></td> </tr> <tr class="thead"> <td class="align_left">#节点</td> <td class="align_center">度分布</td> <td class="align_center">分钟。<svg height="11.439pt" id="M101" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 26.5625 11.439" width="26.5625pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.008,0)"> <path d="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.493,0)"> <path d="M699 368C699 549 574 666 407 666C186 666 23 488 23 277C23 113 129 -3 288 -13L307 -26C431 -111 501 -139 533 -147C559 -154 613 -163 658 -164L666 -141C597 -111 507 -66 430 -11L416 -1C580 42 699 190 699 368ZM601 371C601 227 518 54 381 22L354 40L278 24C175 47 120 145 120 269C120 451 235 631 398 631C540 631 601 521 601 371Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,21.88,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z"></path> </g> </svg></td> <td class="align_center">Max。<svg height="11.439pt" id="M102" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 26.5625 11.439" width="26.5625pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.008,0)"> <path d="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.493,0)"> <path d="M699 368C699 549 574 666 407 666C186 666 23 488 23 277C23 113 129 -3 288 -13L307 -26C431 -111 501 -139 533 -147C559 -154 613 -163 658 -164L666 -141C597 -111 507 -66 430 -11L416 -1C580 42 699 190 699 368ZM601 371C601 227 518 54 381 22L354 40L278 24C175 47 120 145 120 269C120 451 235 631 398 631C540 631 601 521 601 371Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,21.88,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z"></path> </g> </svg></td> <td class="align_center">分钟。<svg height="12.5794pt" id="M103" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 31.4241 12.5794" width="31.4241pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.008,0)"> <path d="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.493,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,22.386,3.132)"> <path d="M398 365C398 411 356 451 297 451C250 451 198 430 151 397C65 336 24 230 24 139C24 14 97 -12 148 -12C198 -12 284 7 373 104L355 130C306 84 246 53 198 53C132 53 111 109 111 163V189C209 211 398 261 398 365ZM317 351C317 308 273 262 117 225C134 338 189 383 221 399C230 404 249 407 263 407C295 407 317 389 317 351Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,26.739,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z"></path> </g> </svg></td> <td class="align_center">Max。<svg height="12.5794pt" id="M104" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 31.4241 12.5794" width="31.4241pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.008,0)"> <path d="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.493,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,22.386,3.132)"> <path d="M398 365C398 411 356 451 297 451C250 451 198 430 151 397C65 336 24 230 24 139C24 14 97 -12 148 -12C198 -12 284 7 373 104L355 130C306 84 246 53 198 53C132 53 111 109 111 163V189C209 211 398 261 398 365ZM317 351C317 308 273 262 117 225C134 338 189 383 221 399C230 404 249 407 263 407C295 407 317 389 317 351Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,26.739,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z"></path> </g> </svg></td> <td class="align_center">贝</td> <td class="align_center">密度</td> <td class="align_center">公元</td> <td class="align_center">直径</td> </tr> <tr> <td class="thead-hr" colspan="10"> <hr></td> </tr> <tr> <td class="align_left" rowspan="6">50个节点</td> <td class="align_center">二项(50,0.95)</td> <td class="align_center">0.000011</td> <td class="align_center">0.001545</td> <td class="align_center">1.265287</td> <td class="align_center">10.514759</td> <td class="align_center">0.9774</td> <td class="align_center">0.974694</td> <td class="align_center">1.02531</td> <td class="align_center">2</td> </tr> <tr> <td class="align_center">指数(0.05)</td> <td class="align_center">0.000472</td> <td class="align_center">0.037791</td> <td class="align_center">2.133920</td> <td class="align_center">17.778186</td> <td class="align_center">0.7908</td> <td class="align_center">0.282449</td> <td class="align_center">1.71755</td> <td class="align_center">2</td> </tr> <tr> <td class="align_center">4)极端值(30日</td> <td class="align_center">0.000224</td> <td class="align_center">0.017376</td> <td class="align_center">1.661500</td> <td class="align_center">14.223935</td> <td class="align_center">0.6952</td> <td class="align_center">0.666122</td> <td class="align_center">1.33388</td> <td class="align_center">2</td> </tr> <tr> <td class="align_center">正常(45岁,2)</td> <td class="align_center">0.000042</td> <td class="align_center">0.003875</td> <td class="align_center">1.340659</td> <td class="align_center">11.135802</td> <td class="align_center">0.928</td> <td class="align_center">0.925714</td> <td class="align_center">1.07429</td> <td class="align_center">2</td> </tr> <tr> <td class="align_center">幂律(1.7)</td> <td class="align_center">0.000579</td> <td class="align_center">0.044836</td> <td class="align_center">2.438283</td> <td class="align_center">20.272008</td> <td class="align_center">0.6832</td> <td class="align_center">0.106939</td> <td class="align_center">1.94776</td> <td class="align_center">3</td> </tr> <tr> <td class="align_center">制服(40、45)</td> <td class="align_center">0.000066</td> <td class="align_center">0.004988</td> <td class="align_center">1.419981</td> <td class="align_center">11.716424</td> <td class="align_center">0.8653</td> <td class="align_center">0.866122</td> <td class="align_center">1.13388</td> <td class="align_center">2</td> </tr> <tr> <td class="align_center" colspan="10"> <hr></td> </tr> <tr> <td class="align_left" rowspan="6">100个节点</td> <td class="align_center">二项(100,0.95)</td> <td class="align_center">0.000051</td> <td class="align_center">0.003903</td> <td class="align_center">1.302432</td> <td class="align_center">10.634500</td> <td class="align_center">0.9564</td> <td class="align_center">0.958788</td> <td class="align_center">1.04121</td> <td class="align_center">2</td> </tr> <tr> <td class="align_center">指数(0.05)</td> <td class="align_center">0.001025</td> <td class="align_center">0.085422</td> <td class="align_center">2.323515</td> <td class="align_center">19.670225</td> <td class="align_center">0.5585</td> <td class="align_center">0.193939</td> <td class="align_center">1.87495</td> <td class="align_center">2</td> </tr> <tr> <td class="align_center">极端值(80 4)</td> <td class="align_center">0.000202</td> <td class="align_center">0.017992</td> <td class="align_center">1.424887</td> <td class="align_center">12.046218</td> <td class="align_center">0.8273</td> <td class="align_center">0.830101</td> <td class="align_center">1.1699</td> <td class="align_center">2</td> </tr> <tr> <td class="align_center">正常(95 2)</td> <td class="align_center">0.000058</td> <td class="align_center">0.003936</td> <td class="align_center">1.292603</td> <td class="align_center">10.533097</td> <td class="align_center">0.9624</td> <td class="align_center">0.961212</td> <td class="align_center">1.03879</td> <td class="align_center">2</td> </tr> <tr> <td class="align_center">幂律(1.7)</td> <td class="align_center">0.001235</td> <td class="align_center">0.099275</td> <td class="align_center">2.555177</td> <td class="align_center">21.917932</td> <td class="align_center">0.6524</td> <td class="align_center">0.0682828</td> <td class="align_center">2.04909</td> <td class="align_center">4</td> </tr> <tr> <td class="align_center">制服(90、95)</td> <td class="align_center">0.000081</td> <td class="align_center">0.005701</td> <td class="align_center">1.338307</td> <td class="align_center">11.239774</td> <td class="align_center">0.9371</td> <td class="align_center">0.936364</td> <td class="align_center">1.06364</td> <td class="align_center">2</td> </tr> <tr> <td class="align_center" colspan="10"> <hr></td> </tr> <tr> <td class="align_left" rowspan="6">150个节点</td> <td class="align_center">二项(150,0.95)</td> <td class="align_center">0.000101</td> <td class="align_center">0.006693</td> <td class="align_center">1.306539</td> <td class="align_center">10.841755</td> <td class="align_center">0.9535</td> <td class="align_center">0.955884</td> <td class="align_center">1.04412</td> <td class="align_center">2</td> </tr> <tr> <td class="align_center">指数(0.05)</td> <td class="align_center">0.001815</td> <td class="align_center">0.145864</td> <td class="align_center">2.492453</td> <td class="align_center">21.259371</td> <td class="align_center">0.4343</td> <td class="align_center">0.137987</td> <td class="align_center">1.97423</td> <td class="align_center">5</td> </tr> <tr> <td class="align_center">极端值(130 4)</td> <td class="align_center">0.000260</td> <td class="align_center">0.016563</td> <td class="align_center">1.407530</td> <td class="align_center">11.340467</td> <td class="align_center">0.8906</td> <td class="align_center">0.889217</td> <td class="align_center">1.11078</td> <td class="align_center">2</td> </tr> <tr> <td class="align_center">正常(145 2)</td> <td class="align_center">0.000049</td> <td class="align_center">0.004271</td> <td class="align_center">1.278812</td> <td class="align_center">10.525010</td> <td class="align_center">0.9711</td> <td class="align_center">0.972617</td> <td class="align_center">1.02738</td> <td class="align_center">2</td> </tr> <tr> <td class="align_center">幂律(1.7)</td> <td class="align_center">0.001647</td> <td class="align_center">0.152268</td> <td class="align_center">2.609807</td> <td class="align_center">22.765497</td> <td class="align_center">0.7357</td> <td class="align_center">0.0519016</td> <td class="align_center">2.10631</td> <td class="align_center">4</td> </tr> <tr> <td class="align_center">制服(140、145)</td> <td class="align_center">0.000072</td> <td class="align_center">0.006639</td> <td class="align_center">1.286138</td> <td class="align_center">10.630950</td> <td class="align_center">0.9554</td> <td class="align_center">0.955973</td> <td class="align_center">1.04403</td> <td class="align_center">2</td> </tr> <tr> <td class="align_center" colspan="10"> <hr></td> </tr> <tr> <td class="align_left" rowspan="6">200个节点</td> <td class="align_center">二项(200,0.95)</td> <td class="align_center">0.000118</td> <td class="align_center">0.008768</td> <td class="align_center">1.326301</td> <td class="align_center">10.694603</td> <td class="align_center">0.9537</td> <td class="align_center">0.953869</td> <td class="align_center">1.04613</td> <td class="align_center">2</td> </tr> <tr> <td class="align_center">指数(0.05)</td> <td class="align_center">0.002327</td> <td class="align_center">0.200372</td> <td class="align_center">2.852023</td> <td class="align_center">24.528760</td> <td class="align_center">0.337</td> <td class="align_center">0.0998995</td> <td class="align_center">2.25</td> <td class="align_center">6</td> </tr> <tr> <td class="align_center">极端值(180 4)</td> <td class="align_center">0.000255</td> <td class="align_center">0.017480</td> <td class="align_center">1.369051</td> <td class="align_center">11.104683</td> <td class="align_center">0.916</td> <td class="align_center">0.917136</td> <td class="align_center">1.08286</td> <td class="align_center">2</td> </tr> <tr> <td class="align_center">正常(195 2)</td> <td class="align_center">0.000064</td> <td class="align_center">0.004584</td> <td class="align_center">1.286624</td> <td class="align_center">10.063900</td> <td class="align_center">0.9768</td> <td class="align_center">0.979799</td> <td class="align_center">1.0202</td> <td class="align_center">2</td> </tr> <tr> <td class="align_center">幂律(1.7)</td> <td class="align_center">0.002587</td> <td class="align_center">0.232759</td> <td class="align_center">2.466938</td> <td class="align_center">22.316455</td> <td class="align_center">0.664</td> <td class="align_center">0.0439196</td> <td class="align_center">1.98553</td> <td class="align_center">3</td> </tr> <tr> <td class="align_center">制服(190、195)</td> <td class="align_center">0.000091</td> <td class="align_center">0.006431</td> <td class="align_center">1.293636</td> <td class="align_center">10.683731</td> <td class="align_center">0.9658</td> <td class="align_center">0.966884</td> <td class="align_center">1.03312</td> <td class="align_center">2</td> </tr> <tr class="table-tr"> <td colspan="10"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表4</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/tab4/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 仿真结果和图表使用的属性。</d我v> </div> </div> </div> <p>我们也比较的所有图形共享相同程度的分布无关的网络中节点的数量平均缓冲区大小和封包延迟数据<a href="//www.newsama.com/journals/js/2019/7409329/fig10/" target="_blank">10</a>和<a href="//www.newsama.com/journals/js/2019/7409329/fig11/" target="_blank">11</a>,分别。在图<a href="//www.newsama.com/journals/js/2019/7409329/fig10/" target="_blank">10</a>极端值,我们可以看到,正常,和均匀分布有非常相似的结果,在图<a href="//www.newsama.com/journals/js/2019/7409329/fig11/" target="_blank">11</a>,我们可以看到一个类似的趋势在二项,正常,幂律分布。我们也注意到,对于每一个特定数量的网络节点,林祖嘉和密度值都很接近在大多数情况下,节点数量的增加,这些值也增加,但公元减少。</p> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig10"> <div class="floats-partial-content fig-content-fig10"> <div class="partial-carousel--single-image"> <img alt="(一)二项图”name="7409329.fig.0010a" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0010a.svgz"> <br> <strong>(一)二项图</strong> </div> <div class="partial-carousel--single-image"> <img alt="(b)指数图”name="7409329.fig.0010b" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0010b.svgz"> <br> <strong>(b)指数图</strong> </div> <div class="partial-carousel--single-image"> <img alt="(c)极值图”name="7409329.fig.0010c" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0010c.svgz"> <br> <strong>(c)极值图</strong> </div> <div class="partial-carousel--single-image"> <img alt="(d)正常的图”name="7409329.fig.0010d" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0010d.svgz"> <br> <strong>(d)正常的图</strong> </div> <div class="partial-carousel--single-image"> <img alt="(e)幂律图”name="7409329.fig.0010e" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0010e.svgz"> <br> <strong>(e)幂律图</strong> </div> <div class="partial-carousel--single-image"> <img alt="(f)统一的图形”name="7409329.fig.0010f" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0010f.svgz"> <br> <strong>(f)统一的图形</strong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig10"> <button class="partial-carousel-dot" aria-label="(a) Binomial graphs"><img alt="(一)二项图”name="7409329.fig.0010a" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0010a.svgz"><br><strong>(一)二项图</strong></button> <button class="partial-carousel-dot" aria-label="(b) Exponential graphs"><img alt="(b)指数图”name="7409329.fig.0010b" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0010b.svgz"><br><strong>(b)指数图</strong></button> <button class="partial-carousel-dot" aria-label="(c) Extreme values graphs"><img alt="(c)极值图”name="7409329.fig.0010c" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0010c.svgz"><br><strong>(c)极值图</strong></button> <button class="partial-carousel-dot" aria-label="(d) Normal graphs"><img alt="(d)正常的图”name="7409329.fig.0010d" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0010d.svgz"><br><strong>(d)正常的图</strong></button> <button class="partial-carousel-dot" aria-label="(e) Power law graphs"><img alt="(e)幂律图”name="7409329.fig.0010e" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0010e.svgz"><br><strong>(e)幂律图</strong></button> <button class="partial-carousel-dot" aria-label="(f) Uniform graphs"><img alt="(f)统一的图形”name="7409329.fig.0010f" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0010f.svgz"><br><strong>(f)统一的图形</strong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig10"> <button class="carousel-prev" aria-label="Previous"></button> <button class="carousel-next" aria-label="Next"></button> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图10</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/fig10/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 比较的<svg height="11.439pt" id="M105" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 26.5625 11.439" width="26.5625pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.008,0)"> <path d="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.493,0)"> <path d="M699 368C699 549 574 666 407 666C186 666 23 488 23 277C23 113 129 -3 288 -13L307 -26C431 -111 501 -139 533 -147C559 -154 613 -163 658 -164L666 -141C597 -111 507 -66 430 -11L416 -1C580 42 699 190 699 368ZM601 371C601 227 518 54 381 22L354 40L278 24C175 47 120 145 120 269C120 451 235 631 398 631C540 631 601 521 601 371Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,21.88,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z"></path> </g> </svg>图形之间的相同类型的度分布。</d我v> </div> </div> </div> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig11"> <div class="floats-partial-content fig-content-fig11"> <div class="partial-carousel--single-image"> <img alt="(一)二项图”name="7409329.fig.0011a" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0011a.svgz"> <br> <strong>(一)二项图</strong> </div> <div class="partial-carousel--single-image"> <img alt="(b)指数图”name="7409329.fig.0011b" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0011b.svgz"> <br> <strong>(b)指数图</strong> </div> <div class="partial-carousel--single-image"> <img alt="(c)极值图”name="7409329.fig.0011c" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0011c.svgz"> <br> <strong>(c)极值图</strong> </div> <div class="partial-carousel--single-image"> <img alt="(d)正常的图”name="7409329.fig.0011d" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0011d.svgz"> <br> <strong>(d)正常的图</strong> </div> <div class="partial-carousel--single-image"> <img alt="(e)幂律图”name="7409329.fig.0011e" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0011e.svgz"> <br> <strong>(e)幂律图</strong> </div> <div class="partial-carousel--single-image"> <img alt="(f)统一的图形”name="7409329.fig.0011f" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0011f.svgz"> <br> <strong>(f)统一的图形</strong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig11"> <button class="partial-carousel-dot" aria-label="(a) Binomial graphs"><img alt="(一)二项图”name="7409329.fig.0011a" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0011a.svgz"><br><strong>(一)二项图</strong></button> <button class="partial-carousel-dot" aria-label="(b) Exponential graphs"><img alt="(b)指数图”name="7409329.fig.0011b" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0011b.svgz"><br><strong>(b)指数图</strong></button> <button class="partial-carousel-dot" aria-label="(c) Extreme values graphs"><img alt="(c)极值图”name="7409329.fig.0011c" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0011c.svgz"><br><strong>(c)极值图</strong></button> <button class="partial-carousel-dot" aria-label="(d) Normal graphs"><img alt="(d)正常的图”name="7409329.fig.0011d" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0011d.svgz"><br><strong>(d)正常的图</strong></button> <button class="partial-carousel-dot" aria-label="(e) Power law graphs"><img alt="(e)幂律图”name="7409329.fig.0011e" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0011e.svgz"><br><strong>(e)幂律图</strong></button> <button class="partial-carousel-dot" aria-label="(f) Uniform graphs"><img alt="(f)统一的图形”name="7409329.fig.0011f" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0011f.svgz"><br><strong>(f)统一的图形</strong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig11"> <button class="carousel-prev" aria-label="Previous"></button> <button class="carousel-next" aria-label="Next"></button> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图11</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/fig11/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 比较的<svg height="12.5794pt" id="M106" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 31.4241 12.5794" width="31.4241pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.008,0)"> <path d="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.493,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,22.386,3.132)"> <path d="M398 365C398 411 356 451 297 451C250 451 198 430 151 397C65 336 24 230 24 139C24 14 97 -12 148 -12C198 -12 284 7 373 104L355 130C306 84 246 53 198 53C132 53 111 109 111 163V189C209 211 398 261 398 365ZM317 351C317 308 273 262 117 225C134 338 189 383 221 399C230 404 249 407 263 407C295 407 317 389 317 351Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,26.739,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z"></path> </g> </svg>图形之间的相同类型的度分布。</d我v> </div> </div> </div> <p>此外,有趣的是,随着节点数的增加,公元仍然几乎不变的价值。例如,二项分布,公元值仍主要是在大约1.04,正常,幂律,均匀分布的图表也有类似的行为,但它存在一个最明显的区别。正如预期的那样,这些分布的公元值有微小的变化随着节点数的增加,但高与二项分布图形。现在,关于指数分布图形,它产生不同数量的节点之间的差异。例如,当网络有50个节点,图1.71的公元,而对于100个节点的情况下,图1.87的公元,和150个节点,图公元1.97,和200节点情况下,图2.25公元。</p> <p>现在,我们观察计算结果用图形相同的公元这些结果,我们使用一个固定的值<span class="inline_break"> <svg height="14.8655pt" id="M107" style="vertical-align:-3.4294pt" version="1.1" viewbox="-0.0498162 -11.4361 18.273 14.8655" width="18.273pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-239"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.642,0)"> <use xlink:href="#g117-34"></use> </g> </svg><span class="irelop"></span> <svg height="14.8655pt" style="vertical-align:-3.4294pt" version="1.1" viewbox="21.855183800000002 -11.4361 16.777 14.8655" width="16.777pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,21.905,0)"> <path d="M153 550H386L412 615L406 623H120L82 318C104 327 142 338 184 338C294 338 347 275 347 187C347 112 305 39 221 39C160 39 119 71 97 89C88 97 80 96 71 90C59 80 50 67 49 57C48 45 52 36 66 23C80 9 123 -12 169 -12C221 -11 288 15 342 59C403 109 431 165 431 225C431 308 366 395 238 395C212 395 165 379 127 364L153 550Z" id="g113-54"></path> </g> <g transform="matrix(.013,0,0,-0.013,31.051,0)"> <use xlink:href="#g117-42"></use> </g> </svg><span class="ibiop"></span><span class="nowrap"> <svg height="14.8655pt" style="vertical-align:-3.4294pt" version="1.1" viewbox="41.5371838 -11.4361 23.257 14.8655" width="23.257pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,41.587,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,47.827,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,54.114,-5.741)"> <use xlink:href="#g54-33"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,59.674,-5.741)"> <use xlink:href="#g50-54"></use> </g> </svg>。</span></span>具体来说,我们创建了一组网络的公元相比大约是2.55和平均分组延迟的值。网络图的属性详细表<a href="//www.newsama.com/journals/js/2019/7409329/tab5/" target="_blank">5</a>,在图<a href="//www.newsama.com/journals/js/2019/7409329/fig12/" target="_blank">12</a>,我们显示的比较图。可以看出,当公元保持不变,即使贝和密度的值是不同的,系统的性能不受影响。</p> <div class="floats-partial-section partial-other-wrapper" data-section="tab5"> <div class="floats-partial-content fig-content-tab5"> <table class="table-group" id="tab5"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="5"> <hr></td> </tr> <tr class="thead"> <td class="align_left">分布</td> <td class="align_center">贝</td> <td class="align_center">密度</td> <td class="align_center">公元</td> <td class="align_center">直径</td> </tr> <tr> <td class="thead-hr" colspan="5"> <hr></td> </tr> <tr> <td class="align_left">二项(35岁,0.21)</td> <td class="align_center">0.101</td> <td class="align_center">0.0769697</td> <td class="align_center">2.54869</td> <td class="align_center">4</td> </tr> <tr> <td class="align_left">指数(0.1)</td> <td class="align_center">0.3055</td> <td class="align_center">0.107475</td> <td class="align_center">2.54646</td> <td class="align_center">7</td> </tr> <tr> <td class="align_left">极端值(7,4)</td> <td class="align_center">0.1448</td> <td class="align_center">0.089697</td> <td class="align_center">2.54889</td> <td class="align_center">5</td> </tr> <tr> <td class="align_left">正常(7,1)</td> <td class="align_center">0.0713</td> <td class="align_center">0.0715152</td> <td class="align_center">2.55475</td> <td class="align_center">4</td> </tr> <tr> <td class="align_left">幂律(1.8)</td> <td class="align_center">0.4344</td> <td class="align_center">0.0567677</td> <td class="align_center">2.55556</td> <td class="align_center">5</td> </tr> <tr> <td class="align_left">制服(20)</td> <td class="align_center">0.1453</td> <td class="align_center">0.101818</td> <td class="align_center">2.55495</td> <td class="align_center">7</td> </tr> <tr class="table-tr"> <td colspan="5"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表5</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/tab5/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 网络图与公元100个节点的值为2.55。</d我v> </div> </div> </div> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig12"> <div class="floats-partial-content fig-content-fig12"> <div class="partial-carousel--single-image"> <img alt="" name="7409329.fig.0012" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0012.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图12</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/fig12/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 比较的<svg height="11.439pt" id="M108" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 32.5388 11.439" width="32.5388pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.008,0)"> <path d="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.493,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,22.452,0)"> <path d="M391 364C391 409 353 448 295 448C249 448 198 426 152 393C65 331 23 225 23 139C23 14 96 -12 146 -12C198 -12 280 9 367 101L351 124C300 78 242 48 194 48C129 48 109 107 109 162V191C208 213 391 266 391 364ZM313 350C313 305 268 261 113 223C132 334 187 381 217 398C227 404 244 405 261 405C290 405 313 385 313 350Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,27.834,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z"></path> </g> </svg>网络之间大约公元的2.55。</d我v> </div> </div> </div> <p>我们现在有兴趣使用图形具有相同值的对系统性能的影响。为此,我们创建了一个集合的网络林祖嘉相比大约是0.7和平均分组延迟的值。网络图的属性详细表<a href="//www.newsama.com/journals/js/2019/7409329/tab6/" target="_blank">6</a>,在图<a href="//www.newsama.com/journals/js/2019/7409329/fig13/" target="_blank">13</a>,我们显示的比较图。在这种情况下,幂律和指数分布需要更高的平均包延迟,而其余的分布达到更好的性能。背后的基本原理是公元指数和幂律分布有相似的价值观,而其余的认为是公元的分布也有类似的价值观,我们可以推断随着公元的增加,还封包延迟增加。</p> <div class="floats-partial-section partial-other-wrapper" data-section="tab6"> <div class="floats-partial-content fig-content-tab6"> <table class="table-group" id="tab6"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="5"> <hr></td> </tr> <tr class="thead"> <td class="align_left">分布</td> <td class="align_center">贝</td> <td class="align_center">密度</td> <td class="align_center">公元</td> <td class="align_center">直径</td> </tr> <tr> <td class="thead-hr" colspan="5"> <hr></td> </tr> <tr> <td class="align_left">二项(100,0.69)</td> <td class="align_center">0.70714</td> <td class="align_center">0.704848</td> <td class="align_center">1.29515</td> <td class="align_center">2</td> </tr> <tr> <td class="align_left">指数(0.05)</td> <td class="align_center">0.71241</td> <td class="align_center">0.218586</td> <td class="align_center">1.93354</td> <td class="align_center">5</td> </tr> <tr> <td class="align_left">极端值(65 5)</td> <td class="align_center">0.69599</td> <td class="align_center">0.687879</td> <td class="align_center">1.31212</td> <td class="align_center">2</td> </tr> <tr> <td class="align_left">正常(70年,15)</td> <td class="align_center">0.70733</td> <td class="align_center">0.708889</td> <td class="align_center">1.29111</td> <td class="align_center">2</td> </tr> <tr> <td class="align_left">幂律(1.8)</td> <td class="align_center">0.69055</td> <td class="align_center">0.0652525</td> <td class="align_center">1.96343</td> <td class="align_center">3</td> </tr> <tr> <td class="align_left">制服(64、74)</td> <td class="align_center">0.6942</td> <td class="align_center">0.69697</td> <td class="align_center">1.30303</td> <td class="align_center">2</td> </tr> <tr class="table-tr"> <td colspan="5"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表6</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/tab6/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 网络图与贝100个节点的值0.7。</d我v> </div> </div> </div> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig13"> <div class="floats-partial-content fig-content-fig13"> <div class="partial-carousel--single-image"> <img alt="" name="7409329.fig.0013" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0013.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图13</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/fig13/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 比较的<svg height="11.439pt" id="M109" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 32.5388 11.439" width="32.5388pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 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364ZM313 350C313 305 268 261 113 223C132 334 187 381 217 398C227 404 244 405 261 405C290 405 313 385 313 350Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,27.834,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z"></path> </g> </svg>网络之间的贝约0.7。</d我v> </div> </div> </div> <p>一组网络的密度大约是0.2创建然后我们展示了系统性能。网络图的属性详细表<a href="//www.newsama.com/journals/js/2019/7409329/tab7/" target="_blank">7</a>,在图<a href="//www.newsama.com/journals/js/2019/7409329/fig14/" target="_blank">14</a>,我们显示的比较图。在这个测试中,我们忽略了幂律分布,因为它是不可能创建一个图的度分布密度为0.2。这是与概率分布的原因属性不允许创建密度图。在这种情况下,我们确认我们之前的观察,当图也有类似的密度值,平均分组延迟不受影响,即使其余的参数有所不同。</p> <div class="floats-partial-section partial-other-wrapper" data-section="tab7"> <div class="floats-partial-content fig-content-tab7"> <table class="table-group" id="tab7"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="5"> <hr></td> </tr> <tr class="thead"> <td class="align_left">分布</td> <td class="align_center">贝</td> <td class="align_center">密度</td> <td class="align_center">公元</td> <td class="align_center">直径</td> </tr> <tr> <td class="thead-hr" colspan="5"> <hr></td> </tr> <tr> <td class="align_left">二项(100,0.2)</td> <td class="align_center">0.21879</td> <td class="align_center">0.200202</td> <td class="align_center">1.82808</td> <td class="align_center">3</td> </tr> <tr> <td class="align_left">指数(0.05)</td> <td class="align_center">0.5642</td> <td class="align_center">0.205051</td> <td class="align_center">1.97172</td> <td class="align_center">4</td> </tr> <tr> <td class="align_left">4)极端值(18日</td> <td class="align_center">0.2354</td> <td class="align_center">0.200404</td> <td class="align_center">1.83434</td> <td class="align_center">3</td> </tr> <tr> <td class="align_left">正常(20、10)</td> <td class="align_center">0.2039</td> <td class="align_center">0.2</td> <td class="align_center">1.81677</td> <td class="align_center">3</td> </tr> <tr> <td class="align_left">制服(16、24)</td> <td class="align_center">0.207</td> <td class="align_center">0.20101</td> <td class="align_center">1.81596</td> <td class="align_center">3</td> </tr> <tr class="table-tr"> <td colspan="5"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表7</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/tab7/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 网络图与100个节点密度值为0.2。</d我v> </div> </div> </div> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig14"> <div class="floats-partial-content fig-content-fig14"> <div class="partial-carousel--single-image"> <img alt="" name="7409329.fig.0014" src="https://static-01.hindawi.com/articles/js/volume-2019/7409329/figures/7409329.fig.0014.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图14</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/fig14/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 比较的<svg height="12.5794pt" id="M110" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 31.4241 12.5794" width="31.4241pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.008,0)"> <path d="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.493,0)"> <path d="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,22.386,3.132)"> <path d="M398 365C398 411 356 451 297 451C250 451 198 430 151 397C65 336 24 230 24 139C24 14 97 -12 148 -12C198 -12 284 7 373 104L355 130C306 84 246 53 198 53C132 53 111 109 111 163V189C209 211 398 261 398 365ZM317 351C317 308 273 262 117 225C134 338 189 383 221 399C230 404 249 407 263 407C295 407 317 389 317 351Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,26.739,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z"></path> </g> </svg>网络之间的密度约0.2。</d我v> </div> </div> </div> <h4 id="conclusions">6。结论</h4> <p>在这项工作中,我们考虑一个WSN在敌对的环境中,许多邻居节点之间的联系是不可靠的,因此,不能用于建立直接沟通。基于这样的环境下,我们建议网络的拓扑映射到特定的图形与集群系数等不同特点,度分布,公元和直径。我们建议使用这些属性来评估系统的性能之前的平均缓冲区大小和平均分组延迟通过使用一个近似方法,大大简化了分析框架。我们验证的准确性近似通过比较广泛的仿真结果显示大多数结果的绝对误差低于5%。</p> <p>从不同的图用于表示网络的拓扑结构,我们可以看到,只有属性的图明显影响系统性能的平均缓冲区大小和分组延迟的值是公元程度分布没有相关系统的性能。然而,并不是所有的价值观公元可以考虑分布的实现。例如,使用指数和幂律分布,我们可以实现最小公元值远远大于那些我们可以实现与其他发行版。这是因为前两个属于图形密度小于那些我们可以创建与其他发行版。</p> <p>在未来的工作中,我们将重点发展闭合表达式的数据包到达概率提供封闭表达式平均端到端分组延迟。</p> <h4 id="appendix">附录</h4> <p>在本附录中,我们目前的一些有用的算法中使用。首先,我们现在的定理给出了一个充分条件图形序列强行<span class="nowrap"> <svg height="6.1673pt" id="M111" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 6.6501 6.1673" width="6.6501pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-111"></use> </g> </svg>- - - - - -</span>连接。在这之后,算法<a href="//www.newsama.com/journals/js/2019/7409329/alg3/" target="_blank">3</a>用于确定一个整数列表是一个图形化的潜在连接度序列。然后,我们详细算法<a href="//www.newsama.com/journals/js/2019/7409329/alg4/" target="_blank">4</a>用于知道已知可能连接度序列也强行连接。最后,我们展示的算法<a href="//www.newsama.com/journals/js/2019/7409329/alg5/" target="_blank">5</a>(Havel-Hakimi)用于从一个图形构建图度序列。</p> <div class="floats-partial-section partial-other-wrapper" data-section="alg3"> <div class="floats-partial-content fig-content-alg3"> <table class="algorithm-group"> <tbody> <tr> <td> <table class="algorithm" id="alg3"> <tbody> <tr> <td colspan="2"><b>输入</b>:一个整数列表<我>l</我></td> </tr> <tr> <td colspan="2"><b>输出</b>:<我>真正的</我>如果<我>l</我>可能是连接,<我>假</我></td> </tr> <tr> <td colspan="2">否则</td> </tr> <tr> <td colspan="2"><b>1开始</b></td> </tr> <tr> <td colspan="2"><b>2</b><i>n</我>⟵<svg height="11.439pt" id="M112" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 14.1792 11.439" width="14.1792pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M162 -163V703H101V-163H162Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,3.419,0)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.604,0)"> <path d="M162 -163V703H101V-163H162Z"></path> </g> </svg></td> </tr> <tr> <td colspan="2"><b>3</b>排序<我>l</我>无添加顺序</td> </tr> <tr> <td colspan="2"><b>4如果</b> <svg height="11.927pt" id="M113" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 34.7862 11.927" width="34.7862pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.132)"> <path d="M504 89L488 119C453 85 428 69 416 69C408 69 405 75 412 102L462 304C492 438 460 451 436 451S388 441 356 423C311 397 229 336 170 256H168L189 340C208 418 200 451 177 451C144 451 82 413 24 352L40 322C65 345 98 369 108 369C114 369 119 363 112 335L28 -3L36 -12C54 -3 83 4 112 10C125 73 138 122 153 174C205 258 328 382 376 382C395 382 399 369 384 305L330 93C312 25 323 -12 351 -12C378 -12 439 21 504 89Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,17.101,0)"> <path d="M531 71V127L115 310L531 494V550L57 335V285L531 71ZM531 -40V10H57V-40H531Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,28.364,0)"> <path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path> </g> </svg><b>然后</b></td> </tr> <tr> <td colspan="2"><b>5</b>返回<我>假</我></td> </tr> <tr> <td colspan="2"><b>6结束</b></td> </tr> <tr> <td colspan="2"><b>7如果</b> <svg height="14.5524pt" id="M114" style="vertical-align:-3.9435pt" version="1.1" viewbox="-0.0498162 -10.6089 93.0319 14.5524" width="93.0319pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,.007)"> <path d="M697 -46L668 -39C637 -126 611 -142 545 -142H163L474 298L206 694H483C558 694 584 688 600 668C615 651 627 625 639 580L667 585L655 739H70V714L378 254L53 -203V-228H655L697 -46Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,9.787,-6.394)"> <path d="M504 89L488 119C453 85 428 69 416 69C408 69 405 75 412 102L462 304C492 438 460 451 436 451S388 441 356 423C311 397 229 336 170 256H168L189 340C208 418 200 451 177 451C144 451 82 413 24 352L40 322C65 345 98 369 108 369C114 369 119 363 112 335L28 -3L36 -12C54 -3 83 4 112 10C125 73 138 122 153 174C205 258 328 382 376 382C395 382 399 369 384 305L330 93C312 25 323 -12 351 -12C378 -12 439 21 504 89Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,9.787,3.784)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,12.335,3.784)"> <path d="M556 331V384H55V331H556ZM556 140V193H55V140H556Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,17.895,3.784)"> <path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,25.051,0)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,33.345,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,40.032,0)"> <path d="M531 71V127L115 310L531 494V550L57 335V285L531 71ZM531 -40V10H57V-40H531Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,51.295,0)"> <path d="M412 140C382 77 369 73 315 73H129L270 222C362 320 402 379 402 466C402 571 322 635 234 635C177 635 130 609 99 576L42 495L64 475C90 514 133 568 201 568C274 568 318 519 318 435C318 349 255 267 193 193C144 135 87 78 32 23V0H405C417 45 427 89 440 131L412 140Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,57.535,0)"> <path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,62.033,0)"> <path d="M495 86L479 114C446 82 419 66 409 66C401 66 401 72 406 97C420 166 436 231 453 297C489 435 454 448 428 448C406 448 384 439 354 422C305 394 222 327 161 247H159L183 345C200 415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,71.465,0)"> <path d="M535 230V280H52V230H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,82.001,0)"> <path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,88.241,0)"> <path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path> </g> </svg><b>然后</b></td> </tr> <tr> <td colspan="2"><b>8</b>返回<我>假</我></td> </tr> <tr> <td colspan="2"><b>9日结束</b></td> </tr> <tr> <td colspan="2"><b>10如果</b> <svg height="11.8174pt" id="M115" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 54.5789 11.8174" width="54.5789pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.132)"> <path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,16.872,0)"> <path d="M531 71V127L115 310L531 494V550L57 335V285L531 71ZM531 -40V10H57V-40H531Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,28.135,0)"> <path d="M495 86L479 114C446 82 419 66 409 66C401 66 401 72 406 97C420 166 436 231 453 297C489 435 454 448 428 448C406 448 384 439 354 422C305 394 222 327 161 247H159L183 345C200 415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,37.567,0)"> <path d="M535 230V280H52V230H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,48.103,0)"> <path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path> </g> </svg>然后</td> </tr> <tr> <td colspan="2"><b>11</b><i>继续</我>⟵<我>真正的</我></td> </tr> <tr> <td colspan="2"><b>12结束</b></td> </tr> <tr> <td colspan="2"><b>其他13</b></td> </tr> <tr> <td colspan="2"><b>14</b><i>继续</我>⟵<我>假</我></td> </tr> <tr> <td colspan="2"><b>15结束</b></td> </tr> <tr> <td colspan="2"><b>16</b><i>完整性</我>⟵<我>假</我></td> </tr> <tr> <td colspan="2"><b>17时</b><i>继续</我><b>做</b></td> </tr> <tr> <td colspan="2"><b>18</b><i>actualValue</我>=<svg height="11.8174pt" id="M116" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 13.3712 11.8174" width="13.3712pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.132)"> <path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z"></path> </g> </svg></td> </tr> <tr> <td colspan="2"><b>19</b>删除<svg height="11.8174pt" id="M117" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 13.3712 11.8174" width="13.3712pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.132)"> <path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z"></path> </g> </svg>从<我>l</我></td> </tr> <tr> <td colspan="2"><b>20</b><i>我=</我>1:<我>我≤actualValue</我><b>做</b></td> </tr> <tr> <td colspan="2"><b>21</b> <svg height="11.927pt" id="M118" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 68.1141 11.927" width="68.1141pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,14.982,0)"> <path d="M885 230V280H158L260 427L238 442C164 361 93 290 53 255C93 220 164 149 238 68L260 83L158 230H885Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,24.891,0)"> <path d="M567 230V280H69V230H567Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,36.869,0)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,45.163,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,51.124,0)"> <path d="M535 230V280H52V230H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,61.66,0)"> <path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path> </g> </svg></td> </tr> <tr> <td colspan="2"><b>22如果</b> <svg height="11.927pt" id="M119" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 32.6671 11.927" width="32.6671pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,14.982,0)"> <path d="M512 -3V55L134 254V256L512 456V514L75 281V230L512 -3Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,26.244,0)"> <path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path> </g> </svg><b>然后</b></td> </tr> <tr> <td colspan="2"><b>23</b><i>继续</我>⟵<我>假</我></td> </tr> <tr> <td colspan="2"><b>24</b><i>打破</我></td> </tr> <tr> <td colspan="2"><b>25日结束</b></td> </tr> <tr> <td colspan="2"><b>其他26个</b></td> </tr> <tr> <td colspan="2"><b>27</b><i>继续</我>⟵<我>真正的</我></td> </tr> <tr> <td colspan="2"><b>28日结束</b></td> </tr> <tr> <td colspan="2"><b>29日结束</b></td> </tr> <tr> <td colspan="2"><b>30若</b><i>有一些</我> <svg height="11.927pt" id="M120" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 54.0365 11.927" width="54.0365pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,14.982,0)"> <path d="M448 1V51H364C248 51 153 129 140 230H448V280H140C153 381 248 459 364 459H448V509H365C208 509 80 395 80 255S208 1 365 1H448Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,25.477,0)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,36.294,0)"> <path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,47.557,0)"> <path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path> </g> </svg><b>然后</b></td> </tr> <tr> <td colspan="2"><b>31日</b>排序<我>l</我>无添加顺序</td> </tr> <tr> <td colspan="2"><b>32结束</b></td> </tr> <tr> <td colspan="2"><b>其他33</b></td> </tr> <tr> <td colspan="2"><b>34</b><i>继续</我>⟵<我>假</我></td> </tr> <tr> <td colspan="2"><b>35</b><i>打破</我></td> </tr> <tr> <td colspan="2"><b>36结束</b></td> </tr> <tr> <td colspan="2"><b>37结束</b></td> </tr> <tr> <td colspan="2"><b>38个如果</b><i>完整性</我><b>然后</b></td> </tr> <tr> <td colspan="2"><b>39岁的</b><span class="nowrap"> <svg height="8.8423pt" id="M121" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 24.8487 8.8423" width="24.8487pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M244 607C244 633 228 655 200 655C166 655 146 618 146 594C146 564 166 546 191 546C221 546 244 574 244 607ZM222 91L209 114C184 94 148 66 133 66C127 66 124 73 130 96L201 370C213 416 211 448 191 448C162 448 88 407 29 352L42 328C73 354 104 371 114 371C120 371 119 365 115 345L53 92C32 5 45 -12 68 -12C103 -12 186 50 222 91Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,7.181,0)"> <path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,18.444,0)"> <path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path> </g> </svg>:</span> <svg height="9.75571pt" id="M122" style="vertical-align:-1.11981pt" version="1.1" viewbox="-0.0498162 -8.6359 25.1357 9.75571" width="25.1357pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M244 607C244 633 228 655 200 655C166 655 146 618 146 594C146 564 166 546 191 546C221 546 244 574 244 607ZM222 91L209 114C184 94 148 66 133 66C127 66 124 73 130 96L201 370C213 416 211 448 191 448C162 448 88 407 29 352L42 328C73 354 104 371 114 371C120 371 119 365 115 345L53 92C32 5 45 -12 68 -12C103 -12 186 50 222 91Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,7.181,0)"> <path d="M531 71V127L115 310L531 494V550L57 335V285L531 71ZM531 -40V10H57V-40H531Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,18.444,0)"> <path d="M495 86L479 114C446 82 419 66 409 66C401 66 401 72 406 97C420 166 436 231 453 297C489 435 454 448 428 448C406 448 384 439 354 422C305 394 222 327 161 247H159L183 345C200 415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z"></path> </g> </svg><b>做</b></td> </tr> <tr> <td colspan="2"><b>40个如果</b> <svg height="11.927pt" id="M123" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 32.6671 11.927" width="32.6671pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,14.982,0)"> <path d="M531 285V335L57 550V494L473 310L57 127V71L531 285ZM531 -40V10H57V-40H531Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,26.244,0)"> <path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path> </g> </svg><b>然后</b></td> </tr> <tr> <td colspan="2"><b>41</b><i>结果</我>⟵<我>真正的</我></td> </tr> <tr> <td colspan="2"><b>42结束</b></td> </tr> <tr> <td colspan="2"><b>其他43</b></td> </tr> <tr> <td colspan="2"><b>44</b><i>结果</我>⟵<我>假</我></td> </tr> <tr> <td colspan="2"><b>45</b><i>打破</我></td> </tr> <tr> <td colspan="2"><b>46个结束</b></td> </tr> <tr> <td colspan="2"><b>47岁结束</b></td> </tr> <tr> <td colspan="2"><b>48结束</b></td> </tr> <tr> <td colspan="2"><b>49个如果</b><i>结果</我><b>然后</b></td> </tr> <tr> <td colspan="2"><b>50返回</b><i>真正的</我></td> </tr> <tr> <td colspan="2"><b>51结束</b></td> </tr> <tr> <td colspan="2"><b>其他52</b></td> </tr> <tr> <td colspan="2"><b>53返回</b><i>假</我></td> </tr> <tr> <td colspan="2"><b>54岁结束</b></td> </tr> <tr> <td colspan="2"><b>55岁结束</b></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">算法3</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/alg3/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 检查是否一个整数列表<我>l</我>是一个图形化的潜在连接度序列。</d我v> </div> </div> </div> <div class="floats-partial-section partial-other-wrapper" data-section="alg4"> <div class="floats-partial-content fig-content-alg4"> <table class="algorithm-group"> <tbody> <tr> <td> <table class="algorithm" id="alg4"> <tbody> <tr> <td colspan="2"><b>输入</b>:一个潜在的连接度序列<我>年代</我></td> </tr> <tr> <td colspan="2"><b>输出</b>:<我>真正的</我>如果<我>年代</我>强行1-connected,<我>假</我></td> </tr> <tr> <td colspan="2">否则</td> </tr> <tr> <td colspan="2">1<b>开始</b></td> </tr> <tr> <td colspan="2"><b>2类</b><i>年代</我><b>无添加顺序</b></td> </tr> <tr> <td colspan="2"><b>3</b> <svg height="8.55521pt" id="M124" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -8.34882 38.4324 8.55521" width="38.4324pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M495 86L479 114C446 82 419 66 409 66C401 66 401 72 406 97C420 166 436 231 453 297C489 435 454 448 428 448C406 448 384 439 354 422C305 394 222 327 161 247H159L183 345C200 415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.158,0)"> <path d="M885 230V280H158L260 427L238 442C164 361 93 290 53 255C93 220 164 149 238 68L260 83L158 230H885Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,20.068,0)"> <path d="M567 230V280H69V230H567Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,32.045,0)"> <path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path> </g> </svg></td> </tr> <tr> <td colspan="2"><b>4</b> <svg height="12.7178pt" id="M125" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 46.3791 12.7178" width="46.3791pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M570 304C570 398 525 448 414 448C385 448 343 445 312 434L329 511L321 518C297 504 262 482 244 460L233 411C195 397 159 381 128 358L135 332C160 347 189 360 224 373L111 -147C97 -210 84 -218 17 -231L13 -257L254 -247L259 -218L233 -216C183 -212 177 -202 189 -142L218 -1C238 -10 266 -12 283 -12C351 3 429 48 483 105C543 168 570 242 570 304ZM482 289C482 161 380 33 304 33C278 33 248 51 233 69L303 396C326 400 352 403 369 403C428 403 482 380 482 289Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,11.342,0)"> <path d="M885 230V280H158L260 427L238 442C164 361 93 290 53 255C93 220 164 149 238 68L260 83L158 230H885Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,21.252,0)"> <path d="M567 230V280H69V230H567Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,33.229,0)"> <path d="M162 -163V703H101V-163H162Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,36.648,0)"> <path d="M449 634C442 637 425 643 405 650C376 660 341 666 307 666C181 666 98 590 98 485C98 400 170 343 215 310L246 288C307 243 343 204 343 147C343 67 291 18 219 18C104 18 61 124 51 202L23 199C28 124 27 71 27 47C47 22 122 -16 204 -16C324 -16 428 60 428 174C428 256 379 309 307 360L276 382C223 419 179 455 179 516C179 576 221 632 293 632C379 632 410 564 418 487L448 490C446 536 446 592 449 634Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,42.784,0)"> <path d="M162 -163V703H101V-163H162Z"></path> </g> </svg></td> </tr> <tr> <td colspan="2"><b>5</b> <svg height="12.5794pt" id="M126" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 93.8724 12.5794" width="93.8724pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M480 416C480 431 465 448 438 448C388 448 312 383 252 330C217 299 188 273 155 237H153L257 680C262 700 263 712 253 712C240 712 183 684 97 674L92 648L126 647C166 646 172 645 163 606L23 -6L29 -12C51 -5 77 2 107 8C115 62 130 128 142 180C153 193 179 220 204 241C231 170 259 106 288 54C317 0 336 -12 358 -12C381 -12 423 2 477 80L460 100C434 74 408 54 398 54C385 54 374 65 351 107C326 154 282 241 263 299C296 332 351 377 403 377C424 377 436 372 445 368C449 366 456 368 462 375C472 386 480 402 480 416Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,6.474,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 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415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,76.896,0)"> <path d="M535 230V280H323V490H265V280H52V230H265V-3H323V230H535Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,87.432,0)"> <path d="M412 140C382 77 369 73 315 73H129L270 222C362 320 402 379 402 466C402 571 322 635 234 635C177 635 130 609 99 576L42 495L64 475C90 514 133 568 201 568C274 568 318 519 318 435C318 349 255 267 193 193C144 135 87 78 32 23V0H405C417 45 427 89 440 131L412 140Z"></path> </g> </svg></td> </tr> <tr> <td colspan="2"><b>6</b> <svg height="12.7178pt" id="M127" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 91.0642 12.7178" width="91.0642pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M480 416C480 431 465 448 438 448C388 448 312 383 252 330C217 299 188 273 155 237H153L257 680C262 700 263 712 253 712C240 712 183 684 97 674L92 648L126 647C166 646 172 645 163 606L23 -6L29 -12C51 -5 77 2 107 8C115 62 130 128 142 180C153 193 179 220 204 241C231 170 259 106 288 54C317 0 336 -12 358 -12C381 -12 423 2 477 80L460 100C434 74 408 54 398 54C385 54 374 65 351 107C326 154 282 241 263 299C296 332 351 377 403 377C424 377 436 372 445 368C449 366 456 368 462 375C472 386 480 402 480 416Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.171,0)"> <path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,21.434,0)"> <path d="M480 416C480 431 465 448 438 448C388 448 312 383 252 330C217 299 188 273 155 237H153L257 680C262 700 263 712 253 712C240 712 183 684 97 674L92 648L126 647C166 646 172 645 163 606L23 -6L29 -12C51 -5 77 2 107 8C115 62 130 128 142 180C153 193 179 220 204 241C231 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128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,43.698,3.132)"> <path d="M490 97L476 124C442 96 405 70 398 70C392 70 390 78 396 114C419 243 448 379 463 432L457 436C446 436 431 439 418 442C393 447 368 451 343 451C281 451 204 418 155 381C74 320 24 206 24 107C24 23 59 -12 88 -12C118 -12 155 5 191 34C236 70 290 122 328 177H330L312 84C296 0 311 -12 331 -12C355 -12 425 24 490 97ZM374 387C371 367 360 299 347 264C323 202 187 53 142 53C128 53 113 73 113 120C113 224 157 332 221 380C241 395 274 403 303 403C330 403 360 395 374 387Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,48.377,3.132)"> <path d="M238 675C244 702 241 710 231 710C220 710 155 682 74 673L70 643H101C147 643 151 635 142 594L39 111C18 11 36 -12 55 -12C89 -12 170 38 223 103L207 129C176 98 130 68 118 68C113 68 108 72 114 102L238 675Z"></path> </g> <g 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transform="matrix(.013,0,0,-0.013,83.086,0)"> <path d="M570 304C570 398 525 448 414 448C385 448 343 445 312 434L329 511L321 518C297 504 262 482 244 460L233 411C195 397 159 381 128 358L135 332C160 347 189 360 224 373L111 -147C97 -210 84 -218 17 -231L13 -257L254 -247L259 -218L233 -216C183 -212 177 -202 189 -142L218 -1C238 -10 266 -12 283 -12C351 3 429 48 483 105C543 168 570 242 570 304ZM482 289C482 161 380 33 304 33C278 33 248 51 233 69L303 396C326 400 352 403 369 403C428 403 482 380 482 289Z"></path> </g> </svg><b>做</b></td> </tr> <tr> <td colspan="2"><b>7如果</b> <svg height="12.7178pt" id="M128" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 74.0571 12.7178" width="74.0571pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M449 634C442 637 425 643 405 650C376 660 341 666 307 666C181 666 98 590 98 485C98 400 170 343 215 310L246 288C307 243 343 204 343 147C343 67 291 18 219 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<path d="M570 304C570 398 525 448 414 448C385 448 343 445 312 434L329 511L321 518C297 504 262 482 244 460L233 411C195 397 159 381 128 358L135 332C160 347 189 360 224 373L111 -147C97 -210 84 -218 17 -231L13 -257L254 -247L259 -218L233 -216C183 -212 177 -202 189 -142L218 -1C238 -10 266 -12 283 -12C351 3 429 48 483 105C543 168 570 242 570 304ZM482 289C482 161 380 33 304 33C278 33 248 51 233 69L303 396C326 400 352 403 369 403C428 403 482 380 482 289Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,36.729,0)"> <path d="M535 230V280H52V230H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,47.265,0)"> <path d="M480 416C480 431 465 448 438 448C388 448 312 383 252 330C217 299 188 273 155 237H153L257 680C262 700 263 712 253 712C240 712 183 684 97 674L92 648L126 647C166 646 172 645 163 606L23 -6L29 -12C51 -5 77 2 107 8C115 62 130 128 142 180C153 193 179 220 204 241C231 170 259 106 288 54C317 0 336 -12 358 -12C381 -12 423 2 477 80L460 100C434 74 408 54 398 54C385 54 374 65 351 107C326 154 282 241 263 299C296 332 351 377 403 377C424 377 436 372 445 368C449 366 456 368 462 375C472 386 480 402 480 416Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,56.71,0)"> <path d="M535 230V280H323V490H265V280H52V230H265V-3H323V230H535Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,67.246,0)"> <path d="M495 86L479 114C446 82 419 66 409 66C401 66 401 72 406 97C420 166 436 231 453 297C489 435 454 448 428 448C406 448 384 439 354 422C305 394 222 327 161 247H159L183 345C200 415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z"></path> </g> </svg><b>然后</b></td> </tr> <tr> <td colspan="2"><b>8</b><i>res</我>⟵<我>真正的</我></td> </tr> <tr> <td colspan="2"><b>9日结束</b></td> </tr> <tr> <td colspan="2"><b>其他10</b></td> </tr> <tr> <td colspan="2"><b>11</b><i>res</我>⟵<我>假</我></td> </tr> <tr> <td colspan="2"><b>12</b><i>打破</我></td> </tr> <tr> <td colspan="2"><b>13日结束</b></td> </tr> <tr> <td colspan="2"><b>14日结束</b></td> </tr> <tr> <td colspan="2"><b>15日返回</b><i>res</我></td> </tr> <tr> <td colspan="2"><b>16日结束</b></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">算法4</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/alg4/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 检查是否一个图形可能连接度序列<我>年代</我>也是强行连接。</d我v> </div> </div> </div> <div class="floats-partial-section partial-other-wrapper" data-section="alg5"> <div class="floats-partial-content fig-content-alg5"> <table class="algorithm-group"> <tbody> <tr> <td> <table class="algorithm" id="alg5"> <tbody> <tr> <td colspan="2"><b>输入</b>:一个简单的潜在/强行连接度</td> </tr> <tr> <td colspan="2">序列<我>D</我>= {<我>d</我><sub>0</sub><i>d</我><sub>1</sub><i>d、…</我><sub><i>N</我>−1</sub>}</td> </tr> <tr> <td colspan="2"><b>输出</b>:一个简单的图<我>G</我>(<我>V E</我>)的程度</td> </tr> <tr> <td colspan="2">序列是<我>D</我></td> </tr> <tr> <td colspan="2"><b>1开始</b></td> </tr> <tr> <td colspan="2"><b>2洗牌</b><i>D</我></td> </tr> <tr> <td colspan="2"><b>3</b> <svg height="9.62521pt" id="M129" style="vertical-align:-0.6304703pt" version="1.1" viewbox="-0.0498162 -8.99474 44.6437 9.62521" width="44.6437pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M697 650H468L461 623L492 619C539 613 547 605 518 546C481 471 367 264 278 116H276C239 278 197 500 186 567C180 604 185 613 226 619L252 623L260 650H24L17 623C78 617 92 613 108 533L216 -11H247C365 200 515 462 560 529C616 612 624 615 689 623L697 650Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.856,0)"> <path d="M885 230V280H158L260 427L238 442C164 361 93 290 53 255C93 220 164 149 238 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564 166 546 191 546C221 546 244 574 244 607ZM222 91L209 114C184 94 148 66 133 66C127 66 124 73 130 96L201 370C213 416 211 448 191 448C162 448 88 407 29 352L42 328C73 354 104 371 114 371C120 371 119 365 115 345L53 92C32 5 45 -12 68 -12C103 -12 186 50 222 91Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,42.093,0)"> <path d="M531 71V127L115 310L531 494V550L57 335V285L531 71ZM531 -40V10H57V-40H531Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,53.356,0)"> <path d="M822 650H589L583 622C660 617 677 607 674 561C672 534 664 481 647 390L600 137H596L273 650H126L120 622C176 620 194 615 207 594C221 571 225 557 214 504L161 257C141 166 129 112 121 85C108 42 83 30 29 28L23 0H260L266 28C193 33 173 42 176 89C178 122 186 172 202 255L256 527H259L583 -8H612L690 390C708 481 720 535 728 558C744 603 756 619 816 622L822 650Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,67.171,0)"> <path d="M535 230V280H52V230H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,77.708,0)"> <path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path> </g> </svg><b>做</b></td> </tr> <tr> <td colspan="2"><b>5</b> <svg height="9.10848pt" id="M131" style="vertical-align:-3.291111pt" version="1.1" viewbox="-0.0498162 -5.81737 11.9632 9.10848" width="11.9632pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,5.811,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.867,0)"> <path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path> </g>  </svg><i>availableDegree</我>⟵<svg height="12.5794pt" id="M132" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 10.3321 12.5794" width="10.3321pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M530 686C535 705 530 712 521 712C504 712 448 684 359 674L358 648H393C437 648 439 646 429 593L400 435C372 447 345 448 332 448C286 448 194 414 144 373C68 311 23 203 23 111C23 26 57 -12 91 -12C120 -12 147 3 188 29C227 54 290 102 341 170H343L322 71C308 6 320 -12 341 -12C373 -12 442 27 501 96L485 120C455 91 422 67 408 67C401 67 401 76 404 91C440 294 479 473 530 686ZM387 375L355 241C326 187 200 53 142 53C126 53 109 73 109 130C109 217 154 337 218 381C240 396 265 404 297 404S372 390 387 375Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,7.15,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> </svg></td> </tr> <tr> <td colspan="2"><b>6</b> <svg height="9.10848pt" id="M133" style="vertical-align:-3.291111pt" version="1.1" viewbox="-0.0498162 -5.81737 11.9632 9.10848" width="11.9632pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,5.811,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.867,0)"> <path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path> </g>  </svg><i>actualDegree</我>⟵0</td> </tr> <tr> <td colspan="2"><b>7</b> <svg height="12.5794pt" id="M134" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 81.5142 12.5794" width="81.5142pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M697 650H468L461 623L492 619C539 613 547 605 518 546C481 471 367 264 278 116H276C239 278 197 500 186 567C180 604 185 613 226 619L252 623L260 650H24L17 623C78 617 92 613 108 533L216 -11H247C365 200 515 462 560 529C616 612 624 615 689 623L697 650Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.856,0)"> <path d="M885 230V280H158L260 427L238 442C164 361 93 290 53 255C93 220 164 149 238 68L260 83L158 230H885Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,22.766,0)"> <path d="M567 230V280H69V230H567Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,34.743,0)"> <path d="M697 650H468L461 623L492 619C539 613 547 605 518 546C481 471 367 264 278 116H276C239 278 197 500 186 567C180 604 185 613 226 619L252 623L260 650H24L17 623C78 617 92 613 108 533L216 -11H247C365 200 515 462 560 529C616 612 624 615 689 623L697 650Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,46.873,0)"> <path d="M535 194V548H477V194C477 102 391 35 294 35S111 102 111 194V548H53V194C53 72 166 -15 294 -15S535 72 535 194Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,57.409,0)"> <path d="M293 -169V-141C218 -131 209 -90 209 -44C209 19 222 85 222 152C222 207 198 255 139 269V273C199 286 222 334 222 388C222 454 209 523 209 588C209 632 218 671 293 681V709C234 709 148 695 148 577C147 513 155 438 155 372C155 337 152 291 64 285V256C152 250 155 204 155 169C156 105 148 31 148 -41C148 -157 234 -169 293 -169Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,67.898,0)"> <path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,73.709,3.132)"> <path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,76.764,0)"> <path d="M283 255V284C195 290 192 337 192 375C192 436 200 508 200 580C200 696 116 709 54 709V681C127 671 139 634 139 588C138 524 125 452 125 387C125 333 149 286 209 272V268C148 253 125 206 125 151C126 87 139 16 139 -47C139 -92 127 -131 54 -141V-169C115 -169 200 -152 200 -41C200 32 192 104 192 164C192 202 195 249 283 255Z"></path> </g> </svg></td> </tr> <tr> <td colspan="2"><b>8日结束</b></td> </tr> <tr> <td colspan="2"><b>9</b>排序<我>V</我>根据他们的无添加顺序</td> </tr> <tr> <td colspan="2"><i>availableDedgree</我><b>。</b></td> </tr> <tr> <td colspan="2"><b>10</b> 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transform="matrix(.013,0,0,-0.013,33.527,0)"> <path d="M633 674L603 694L553 619C506 650 449 665 390 665C181 665 50 499 50 319C50 208 100 116 171 56L118 -22L145 -45L201 35C251 3 311 -15 374 -15C560 -15 710 120 710 335C710 447 656 541 584 600L633 674ZM217 123C177 176 150 256 150 344C150 534 254 629 367 629C425 629 477 609 517 566L217 123ZM541 537C581 482 610 406 610 305C610 150 542 21 391 21C333 21 277 45 240 92L541 537Z"></path> </g> </svg></td> </tr> <tr> <td colspan="2"><b>11时</b> <svg height="9.10848pt" id="M136" style="vertical-align:-3.291111pt" version="1.1" viewbox="-0.0498162 -5.81737 13.7535 9.10848" width="13.7535pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,5.811,3.132)"> <path d="M452 282C452 397 389 451 302 451C268 451 227 441 188 422C95 377 24 281 24 154C24 65 70 -12 173 -12C240 -12 297 16 342 52C418 113 452 201 452 282ZM359 282C359 163 308 66 247 39C237 35 225 32 212 32C151 32 114 79 114 157C114 301 180 380 223 398C240 405 250 408 265 408C315 408 359 369 359 282Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.657,0)"> <path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path> </g>  </svg><i>availableDegree</我></td> </tr> <tr> <td colspan="2"><b>12</b> <svg height="12.5794pt" id="M137" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 45.8359 12.5794" width="45.8359pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M480 416C480 431 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transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M515 96L502 119C471 88 431 62 423 62C416 62 411 70 417 101C440 223 469 341 497 448H486L412 422L380 277C330 188 210 57 152 57C137 57 126 69 139 124L195 366C210 431 205 448 182 448C155 448 89 413 23 350L36 326C73 354 103 376 112 376C118 376 118 365 113 340L61 118C54 90 52 68 52 51C52 0 75 -12 98 -12S151 -3 181 17C242 58 305 119 362 193H364L345 104C323 3 339 -12 359 -12C390 -12 464 35 515 96Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.626,0)"> <path d="M885 230V280H158L260 427L238 442C164 361 93 290 53 255C93 220 164 149 238 68L260 83L158 230H885Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,20.536,0)"> <path d="M567 230V280H69V230H567Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,32.513,0)"> <path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 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-12 464 35 515 96Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,74.636,0)"> <path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z"></path> </g>  <g transform="matrix(.013,0,0,-0.013,79.779,0)"> <path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,87.817,0)"> <path d="M283 255V284C195 290 192 337 192 375C192 436 200 508 200 580C200 696 116 709 54 709V681C127 671 139 634 139 588C138 524 125 452 125 387C125 333 149 286 209 272V268C148 253 125 206 125 151C126 87 139 16 139 -47C139 -92 127 -131 54 -141V-169C115 -169 200 -152 200 -41C200 32 192 104 192 164C192 202 195 249 283 255Z"></path> </g> </svg></td> </tr> <tr> <td colspan="2"><b>17</b><i>u.availableDegree</我>−−</td> </tr> <tr> <td colspan="2"><b>18</b><i>v.availableDegree</我>−−</td> </tr> <tr> <td colspan="2"><b>19日结束</b></td> </tr> <tr> <td colspan="2"><b>20.</b>洗牌<我>V</我></td> </tr> <tr> <td colspan="2"><b>21</b>节点在<我>V</我>无添加顺序</td> </tr> <tr> <td colspan="2"><b>22</b><i>根据其availableDegree<b>。</b></i></td> </tr> <tr> <td colspan="2"><b>23日结束</b></td> </tr> <tr> <td colspan="2"><b>24日结束</b></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">算法5</span> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/js/2019/7409329/alg5/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 基于Havel-Hakimi建筑图。</d我v> </div> </div> </div> <p><span class="statement" id="thm3"><span class="statement-title">定理3。</span><i>让<span class="inline_break"> <svg height="9.46863pt" id="M142" style="vertical-align:-1.11981pt" version="1.1" viewbox="-0.0498162 -8.34882 17.789 9.46863" width="17.789pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,10.158,0)"> <use xlink:href="#g117-94"></use> </g> </svg><span class="irelop"></span> <svg height="9.46863pt" style="vertical-align:-1.11981pt" version="1.1" viewbox="21.3711838 -8.34882 6.416 9.46863" width="6.416pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,21.421,0)"> <use xlink:href="#g113-50"></use> </g> </svg></span>是一个整数。然后一个图像序列<span class="inline_break"> <svg height="14.7625pt" id="M143" style="vertical-align:-5.47417pt" version="1.1" viewbox="-0.0498162 -9.28833 14.28 14.7625" width="14.28pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-238"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.316,0)"> <use xlink:href="#g113-59"></use> </g> </svg><span class="ipunc"></span> <svg height="14.7625pt" style="vertical-align:-5.47417pt" version="1.1" viewbox="17.8621838 -9.28833 23.359 14.7625" width="23.359pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,17.912,0)"> <use xlink:href="#g113-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,25.062,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,33.64,0)"> <use xlink:href="#g117-94"></use> </g> </svg><span class="irelop"></span> <svg height="14.7625pt" style="vertical-align:-5.47417pt" version="1.1" viewbox="44.8531838 -9.28833 68.575 14.7625" width="68.575pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,44.903,0)"> <use xlink:href="#g113-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,52.053,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,60.631,0)"> <use xlink:href="#g117-94"></use> </g> <g transform="matrix(.013,0,0,-0.013,71.894,0)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,77.037,0)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,82.18,0)"> <use xlink:href="#g113-46"></use> </g> <g transform="matrix(.013,0,0,-0.013,88.81,0)"> <use xlink:href="#g117-94"></use> </g> <g transform="matrix(.013,0,0,-0.013,100.073,0)"> <use xlink:href="#g113-101"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,107.223,3.132)"> <path d="M573 302C573 402 527 451 414 451C386 451 343 446 313 437L330 513L320 522C295 508 261 484 243 463L230 415C194 400 159 383 126 359L131 330C159 344 187 357 222 368L109 -147C96 -204 80 -214 18 -223L13 -255L256 -244L259 -212L236 -210C184 -205 180 -195 191 -141L219 -1C240 -10 268 -12 284 -12C352 4 431 48 484 104C543 166 573 240 573 302ZM481 290C481 165 381 37 305 37C280 37 249 56 235 71L302 395C328 399 353 402 372 402C427 402 481 378 481 290Z" id="g50-113"></path> </g> </svg></span>是强制<svg height="6.1673pt" id="M144" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 6.6501 6.1673" width="6.6501pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-111"></use> </g> </svg>−<我>连接</我>如果<span class="equation_break" id="eq5"><span class="left_break" id="L145"></span><span class="middle_break"><span class="center_break" id="M145"> <svg height="13.9281pt" id="M145-1" version="1.1" viewbox="0 0 77.824 13.9281" width="77.824pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B145-1"> <g transform="matrix(.013,0,0,-0.013,0,9.308)"> <use 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height="24"><span class="sc-dRFtgE jrsDZP">下载其他格式</span><span class="sc-gkFcWv gWTCXQ">更多的</span></span> <span class="sc-htoDjs bMdQcY sc-gbOuXE jGPvPL icon-colored _1CwL9R82TPl2HxDleeYGDR icon-themeable" title="" font-size="11"></span> </div> <div class="sc-fnwBNb etzuBr"> <a class="sc-htpNat bUhGXt link sc-iNhVCk gWgCNb open_panel" href="//www.newsama.com/downloads/journals/js/2019/7409329.epub" aria-label="ePub" property="background-color" color="#D8D8D8"> <div class="sc-eAKXzc WHkfb"> ePub</d我v><img alt="" class="sc-EHOje jOLhQl sc-bfYoXt cGuwDn" title="" role="presentation" 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height="24"><span class="sc-dRFtgE jrsDZP">订单打印副本</span><span class="sc-gkFcWv gWTCXQ">订单</span></span><span class="sc-htoDjs kNoiZu sc-gbOuXE jGPvPL right__icon icon-colored _32KP5uexH-Bgs7Kj8Gk1Tz icon-themeable" title="" font-size="16"></span></a> <div class="sc-hBbWxd kdRRST"> <div class="sc-dyGzUR cHatnS"> <div> 的观点<span>1796年</span> </div> <div> 下载<span>812年</span> </div> </div> <div> <div class="sc-drKuOJ kxdGAZ"> <span class="__dimensions_badge_embed__" data-doi="10.1155/2019/7409329" data-style="small_circle"></span>引用</d我v> </div> </div> <nav class="sc-bRBYWo fXBKFa sc-hUfwpO jHPgUP" id="toolbar__iconNav"> <h3 class="sc-Rmtcm hNPrIr">分享文章</h3> <ul class="sc-hzDkRC bnbfTS"> <li class="iconBorder"><a class="sc-htpNat bUhGXt link" href="https://twitter.com/share?url=https://doi.org/10.1155/2019/7409329&via=Hindawi" aria-label="Sharing on Twitter" rel="noopener noreferrer" target="_blank"><img alt="" class="sc-EHOje jOLhQl socialTwitter" title="" role="presentation" 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