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<p>在这一页上</p> <span class="sc-fQejPQ fTFtno grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-fZwumE cLQMJq" href="#abstract" aria-label="">文摘</一个></span> <span class="sc-fQejPQ fTFtno grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-fZwumE cLQMJq" href="#introduction" aria-label="">介绍</一个></span> <span class="sc-fQejPQ fTFtno grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-fZwumE cLQMJq" href="#related-work" aria-label="">相关工作</一个></span> <span class="sc-fQejPQ fTFtno grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-fZwumE cLQMJq" href="#conclusion" aria-label="">结论</一个></span> <span class="sc-fQejPQ fTFtno grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-fZwumE cLQMJq" href="#data-availability" aria-label="">数据可用性</一个></span> <span class="sc-fQejPQ fTFtno grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-fZwumE cLQMJq" href="#conflicts-of-interest" aria-label="">的利益冲突</一个></span> <span class="sc-fQejPQ fTFtno grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-fZwumE cLQMJq" href="#acknowledgments" aria-label="">确认</一个></span> <span class="sc-fQejPQ fTFtno grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-fZwumE cLQMJq" href="#references" aria-label="">引用</一个></span> <span class="sc-fQejPQ fTFtno grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-fZwumE cLQMJq" href="#copyright" aria-label="">版权</一个></span> </div> </div> </div> <div class="threeColumn__ContentWrapper-sc-1bf4078-3 bbzREB contentWrapper"> <div class="threeColumn__Content-sc-1bf4078-4 jknsZc 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-cqCuEk dDomlX article_header_class"> <div class="sc-dliRfk HhtZN"> <span class="sc-kLIISr dybYoM">特殊的问题</年代p一个n> <h2 class="sc-qrIAp kXQHAo">协作的大数据管理和分析复杂系统的优势</h2> <a class="sc-htpNat bUhGXt link sc-iqzUVk gFkWAn" href="//www.newsama.com/journals/complexity/si/149145/" aria-label="">把这个特殊的问题</一个> <hr class="sc-ebFjAB jhQWaL"> </div> <p class="sc-ipZHIp hDKZCZ article_type">研究文章|开放获取</p> <div class="sc-iGrrsa eZlme article_citation"> 体积 2020年 <span class="sc-dEoRIm gusDuS">|</年代p一个n>文章的ID 6467891 <span class="sc-dEoRIm gusDuS">|</年代p一个n> 17 页面 <span class="sc-dEoRIm gusDuS">|</年代p一个n> <a class="sc-htpNat bUhGXt link sc-jtggT iUDBGe" href="https://doi.org/10.1155/2020/6467891" aria-label="Doi-link">https://doi.org/10.1155/2020/6467891</一个> </div> <h1 class="sc-jAaTju cxkaTM sc-bmyXtO lmNMHJ article_title">有效的数据收集方法在传感器网络</h1> </div> <div class="sc-jeCdPy bpzNtR article_authors"> <hr class="sc-likbZx PHYWq hr__author"> <span class=""><b>柯桥柯岩曹</b><a class="sc-htpNat bUhGXt link" href="mailto:" aria-label="Mail to Author Option"><img alt="" class="sc-EHOje cPuqxU sc-jtRlXQ jIaDFG" title="" role="presentation" 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height="16"></a><a class="sc-htpNat bUhGXt link" href="https://orcid.org/0000-0001-6843-4524" aria-label="Redirect to Doi" target="_blank"><img alt="" class="sc-EHOje cPuqxU sc-bGbJRg flqdYJ" title="" role="presentation" src="data:image/svg+xml;base64,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" height="16"></a>,<年代up>1,2</年代up></span> <span class="">Haoli刘,<年代up>1</年代up></span> <span class="">Yefan刘,<年代up>1</年代up></span> <span class="">Gongjie孟,<年代up>1</年代up></span> <span class="">如果记,<年代up>3</年代up> 和</年代p一个n> <span class="">Gui李<年代up>1</年代up></span> <div class="sc-ePZHVD eecoTM isHide"> <p><sup>1</年代up><span>110168年沈阳建筑大学,辽宁,沈阳,中国</年代p一个n></p> <p><sup>2</年代up><span>辽宁省城市建设的大数据管理和分析实验室,110168年沈阳,中国</年代p一个n></p> <p><sup>3</年代up><span>110819年东北大学、辽宁、沈阳,中国</年代p一个n></p> </div> <button class="sc-kEYyzF gRIXYh sc-bEjcJn cFrLKZ" color="">显示更多</but来n> </div> <div class="articleContent__EditorWrapper-sc-2yl9jy-3 evMkvU"> <div class="articleContent__TextWrapper-sc-2yl9jy-8 fYrLtk"> <b>学术编辑器:</b>Xuyun张</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</年代p一个n> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2020年1月22日</年代p一个n> </div> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC notPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">接受</年代p一个n> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2020年2月27日</年代p一个n> </div> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC isPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">发表</年代p一个n> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2020年4月10</年代p一个n> </div> </div> </div> <article class="sc-kZmsYB iukjRu article_body "> <div> <div class="xml-content"> <h4 class="header" id="abstract">文摘</h4> <p>无线传感器网络广泛应用于许多领域,如医疗卫生、军事监控、目标跟踪,和人们的生活,因为他们的优点,方便部署、低成本、和良好的隐蔽。然而,由于传感器节点的电池容量低和环境变化,节点的能量消耗严重和数据收集的准确性较低。在多个随机路径的数据收集方法,由于节点之间地理上分布不均和环境的影响,很容易造成阻塞节点之间的通信和随机路径的建设失败。本文提出了一种有效的数据收集算法这一问题。算法改进的基础上随机节点选择算法。这种方法可以有效地避免失败的随机路径节点选择,提高无线传感器网络节点随机的选择路径。然后,分析了传感器网络在动态环境中基于静态环境。一个高效的基于位置的数据收集算法预测提出了极端的学习机器。这种方法使用极端的学习机器节点进行轨迹预测方法在动态环境中。</p> <span class="end-abs"></span> <h4 id="introduction">1。介绍</h4> <p>近年来,随着无线通信技术的发展,传感器技术和嵌入式技术、无线传感器网络(网络)被广泛关注<一个href="#B1">1</一个>]。无线传感器网络可以依靠传感器节点感知各种物理或环境条件下,广泛应用于医疗、军事、科学观察、应急监测、和商业应用。无线传感器网络的一个重要功能是完成数据收集。传感器节点收集传感器数据和发送它通过多次反射到水槽节点无线通信。有效的数据收集是无线传感器网络的各种应用程序的关键,比如战场监控、监测、习惯基础设施监测和环境监测。</p> <p>在目前的研究和开发过程,香农采样定理通常被用作主要的无线传感器网络数据收集方法的信号。然而,因为它需要收集大量的原始数据,进行数据传输,它会导致节点能量消耗和数据冗余。作为一种新技术,压缩传感压缩和项目使用低速采样收集到的原始数据,然后使用非线性重建算法重建压缩信号。压缩传感避免收集大量的原始数据,已成为广泛研究的发展方向。</p> <p>在无线传感器网络数据收集,传统的压缩传感方法使用密集的随机矩阵(<一个href="#B2">2</一个>]随着观测矩阵压缩和收集数据。然而,密集的测量矩阵带来密集的观察问题;也就是说,每个投影值需要网络中的所有节点参与操作(<一个href="#B3">3</一个>]。因此,投影值的集合需要伟大的通信开销和计算量巨大的重建信号时。提出的稀疏随机矩阵无线传感器网络中的数据收集和措施(<一个href="#B4">4</一个>),收集一些网络中节点的测量数据来构造投影值,减少了节点之间的沟通成本和计算当构造投影值的数量。它在促进中扮演一定的角色压缩传感的发展。</p> <p>的过程中构建基于稀疏随机矩阵随机路径,随机初始化节点作为初始节点的随机路径,然后随机游走策略是用于收集节点的数据。每次随机路径达到指定的长度时,收集的数据的投影可以完成。然后,收集到的数据预计将水槽节点,如图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig1/" target="_blank">1</一个>。最后,项目数据解压缩和重构水槽节点。同时,观察矩阵时生成的随机路径构造;构造稀疏随机矩阵。观测矩阵填充矩阵的参数值根据不同节点的随机路径行走,这通常是0或1。非零元素的数量观测矩阵的每一行对应的随机路径的长度是一致的。在达到指定的随机路径的长度,数据重建可以在水槽节点完成。然而,由于外部环境的不确定性,在随机的建设路径,不达到当前节点的邻居节点,导致失败的随机路径建设施工和观测矩阵。因此,它是特别重要的,提出一种更有效的算法。</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="6467891.fig.001" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.001.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图1</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/fig1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 基于压缩传感数据采集过程。</d我v> </div> </div> </div> <p>基于上述问题,本文提出了一种有效的数据收集方法在静态和移动环境下的无线传感器网络,可有效避免这些问题的过程中随机道路建设。本文的主要贡献如下:<年代p一个ncl一个年代年代="list"><span class="list-item"><span class="list-label">(1)</年代p一个n><span class="list-content">我们提出一个有效的数据收集算法在静态环境。通过统计分析当前节点的邻居节点,选择合适的阈值来过滤你的邻居节点满足阈值,选择适当的组的邻居节点,并选择下一跳节点,提高传统随机选择算法在静态环境。</年代p一个n></span><span class="list-item"><span class="list-label">(2)</年代p一个n><span class="list-content">我们提出一个有效的数据收集算法基于榆树位置预测。通过使用极限学习机方法预测节点的地理位置在下次时间,选择适当的节点作为下一跳节点的当前时间根据预测位置,和改善建筑的随机路径的长度。</年代p一个n></span><span class="list-item"><span class="list-label">(3)</年代p一个n><span class="list-content">随机路径在静态网络环境建设和移动网络环境模拟原型系统的设计有效的无线传感器网络数据收集方法。对比传统的数据收集算法和高效的数据收集算法实现,并验证算法的正确性和有效性在多个测试,验证和系统的鲁棒性和准确性。</年代p一个n></span></span></p> <h4 id="related-work">2。相关工作</h4> <p>本部分从两个方面介绍了现有的研究成果:无线传感器网络和压缩传感。</p> <h5 id="sec2.1">2.1。无线传感器网络</h5> <p>无线传感器网络是通信领域的一个新的发展方向,它也收敛的集成和发展传统学科和新兴学科。无线传感器网络在1990年代起源于美国。在接下来的几年里(10年以上),无线传感器网络技术已经被行业广泛关注,学术界和政府。它也成为竞争的焦点在军事发展,环境、和许多其他领域。美国《商业周刊》选择的十大新兴技术,对未来有很大的影响,无线传感器网络是第一。一旦无线传感器网络技术被释放时,它已经吸引了广泛关注的军事部门、学术界和工业在世界上许多国家,已成为一个研究热点。美国计算机协会(ACM)专门从事事务在传感器网络的创建,用于研究最先进的无线传感器网络的结果。无线传感器网络的应用需求是实现目标的最佳监测下有限的能源供应。因此,无线传感器网络在这方面经历了多个设计和优化。</p> <p>近年来,无线传感器网络技术取得了快速发展。Rebai等人提出了一种传感器部署无线传感器网络覆盖优化方法和连接(<一个href="#B5">5</一个>),胺等人提出了一个高效和安全的移动无线传感器网络加权聚类算法(<一个href="#B6">6</一个>],Diallo等人提出了一个分布式数据库管理技术在无线传感器网络<一个href="#B7">7</一个>]。下榻的饭店等人研究了移动目标跟踪基于局域预测在无线传感器网络<一个href="#B8">8</一个>]。艾耶等人提出STCP传感器传输控制协议(<一个href="#B9">9</一个>]。为了保证无线传感器网络的数据安全,任等人提出了一个端到端安全性框架位置传感,这保证了传感器数据的安全(<一个href="#B10">10</一个>]。林等人提出了一个自适应传输功率控制算法对无线传感器网络<一个href="#B11">11</一个>]。所有这些科学研究促进了无线传感器网络的发展。</p> <p>在中国,针对无线传感器网络的发展在世界上,中国对传感器网络计算机协会技术委员会成立于2006年10月,这导致了无线传感器网络的研究和发展在中国。近年来,国内研究机构作出了重要贡献,无线传感器网络的发展。在[<一个href="#B12">12</一个>),提出了一种改进的DV-Hop算法实现传感器节点的准确定位。文献[<一个href="#B13">13</一个>)总结了无线传感器网络的隐私保护技术。在[<一个href="#B14">14</一个>),OSNC方法提出了减少聚合节点周围的过载。无线传感器网络被广泛应用于军事、环境、农业、医疗、智能交通等领域。这些将大力推动好和无线网络行业的快速发展<一个href="#B15">15</一个>]。</p> <h5 id="sec2.2">2.2。压缩传感</h5> <p>压缩传感起源于Mistretta教授(<一个href="#B16">16</一个>威斯康辛大学的和别人的问题:我们可以重建原始图像与少量的MRI采样数据。为了解决这个问题,教授Mistretta使用经典图像重建理论进行仿真实验。结果表明,分辨率较低,边缘模糊。同时,萤石教授的研究团队意识到精确重建原始图像的有限数据通过使用罚函数和证明,从图像的傅里叶变换系数,随机选择不少于2<我>k</我>系数可以准确、独特的重建原始信号,<我>k</我>非零的数傅里叶系数(<一个href="#B17">17</一个>]。</p> <p>Donoho et al。<一个href="#B18">18</一个>- - - - - -<一个href="#B21">21</一个>)提出了一种基于压缩感知的理论框架和信号稀疏分解的思想复苏。在此基础上,Donoho正式提出“压缩传感”的概念<一个href="#B18">18</一个>]。核心思想是首先获得非适应的线性投影信号然后重建原始信号的测量值根据相应的重建算法。参考文献(<一个href="#B17">17</一个>,<一个href="#B18">18</一个>,<一个href="#B21">21</一个>,<一个href="#B22">22</一个>)进行了深入研究和分析准确的信号重构,信号稳定性维护和优化稀疏分解在不完整的测量和取得良好的发展。压缩传感已经吸引了许多学者和专家的注意,他等,在压缩传感网络数据进行了广泛的研究。2008年,贾维斯Haupt提出了一个特定的网络压缩方法在网络分布,即视为分布式压缩感知的原型。学者d男爵等人提出了一种新的分布式压缩感知理论,得到了广泛的应用。</p> <p>近年来,一种新的压缩传感理论已诞生了。对于稀疏信号或可压缩信号,这种方法可以实现数据压缩的收购而获得信号,和它的频率远低于奈奎斯特采样频率(<一个href="#B23">23</一个>];它的优势是,它可以减少采样数据,节省存储空间,包含足够的信号信息。数据重建的过程中,根据压缩足够的数据可以恢复数据。压缩传感结合了传统的数据收集和数据压缩,但它不需要复杂的数据编码算法。压缩传感已成为信号处理领域的一个新的研究方向(<一个href="#B24">24</一个>]。</p> <p>国内外的理论和实践应用压缩感知近年来已成为一个热门的研究方向。在[<一个href="#B25">25</一个>),核磁共振图像重建的算法基于传统联合提出了正规化和压缩传感压缩传感MRI图像重建。在[<一个href="#B26">26</一个>),基于能量平衡的一种自适应压缩感知算法,提出了解决问题的处理能力有限,传统无线传感器网络的能源短缺。在[<一个href="#B27">27</一个>),一个能源贫瘠的贝叶斯压缩感知算法。文献[<一个href="#B28">28</一个>]分析了无线传感器网络的性能和延迟分析。在[<一个href="#B29">29日</一个>),随机漫步路径算法,提出了基于非均匀采样压缩和收集数据。在[<一个href="#B30">30.</一个>),提出了一种数据模型的随机投影估计算法来实现压缩比测量。在[<一个href="#B31">31日</一个>提出了],EDAL数据收集协议。在[<一个href="#B32">32</一个>),提出了一种连续的滑动窗口处理框架。压缩传感理论的不断深化,对压缩传感的研究已在各个领域取得了很大的进步。在[<一个href="#B33">33</一个>),一种新颖的分布式压缩估计方案稀疏信号与系统理论的基础上提出了压缩传感。在[<一个href="#B34">34</一个>),一个压缩传感方法,提出了基于高斯混合模型。在[<一个href="#B35">35</一个>),CSPR方法动态无线传感器网络路径提出了基于压缩传感重建。在[<一个href="#B36">36</一个>),压缩传感应用于图像恢复。</p> <h4 id="efficient-data-collection-method-in-static-sensor-network">3所示。有效的数据收集方法在静态传感器网络</h4> <h5 id="sec3.1">3.1。问题描述</h5> <p>本节首先给出无向图的定义和建立基于无向图的随机路径的过程,然后给出了观测矩阵由随机路径,最后给出了节点选择方法在建设的过程中观察矩阵。本章中使用的符号和随后的章节和他们的解释如表所示<一个href="//www.newsama.com/journals/complexity/2020/6467891/tab1/" target="_blank">1</一个>。</p> <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="2"> <hr></td> </tr> <tr class="thead"> <td class="align_left">象征</td> <td class="align_center">解释</td> </tr> <tr> <td class="thead-hr" colspan="2"> <hr></td> </tr> <tr> <td class="align_left"><span style="width: 9.93839ptpx;"> <svg height="8.68572pt" id="M1" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 9.93839 8.68572" width="9.93839pt" 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="M488 658H270V630C328 626 335 619 335 579C217 574 44 509 44 330C44 147 221 88 335 86C335 38 328 32 265 28V0H488V28C425 32 418 38 418 86C534 88 710 153 710 337C710 517 538 575 418 579C418 619 425 626 488 630V658ZM335 118C249 124 136 180 136 337C136 490 251 543 335 547V118ZM418 547C502 543 618 491 618 333S503 124 418 118V547Z"></path> </g> </svg></span></td> <td class="align_center">随机观测矩阵</td> </tr> <tr> <td class="align_left"><i>x</我></td> <td class="align_center">原始数据</td> </tr> <tr> <td class="align_left"><i>y</我></td> <td class="align_center">压缩数据</td> </tr> <tr> <td class="align_left"><span style="width: 9.55998ptpx;"> <svg height="8.68572pt" id="M2" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 9.55998 8.68572" width="9.55998pt" 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 659C666 654 622 640 595 610C579 591 569 572 562 530L552 472C530 342 504 307 403 302V529C403 604 411 617 483 622V650H238V622C310 617 318 604 318 529V302C232 308 194 347 172 471L161 531C153 573 145 592 131 609C103 643 59 654 25 659L15 632C62 611 63 583 73 524L85 452C97 383 116 347 155 316C199 282 255 269 318 267V122C318 46 310 33 233 28V0H489V28C412 33 403 46 403 122V267C470 269 518 283 559 315C599 346 618 378 632 450L646 519C658 580 665 608 709 632L699 659Z"></path> </g> </svg></span></td> <td class="align_center">基稀疏矩阵</td> </tr> <tr> <td class="align_left"><span style="width: 18.2504ptpx;"> <svg height="14.1531pt" id="M3" style="vertical-align:-1.5765pt" version="1.1" viewbox="-0.0498162 -12.5766 18.2504 14.1531" width="18.2504pt" 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="M475 507C475 612 440 712 326 712C139 712 23 420 23 215C23 96 58 -12 180 -12C369 -12 475 293 475 507ZM391 522C391 486 387 448 379 394H126C155 538 222 677 310 677C386 677 391 571 391 522ZM373 346C344 193 283 22 189 22C126 22 106 114 106 196C106 243 111 293 118 346H373Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,6.475,0)"> <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,-0.013,12.649,-3.549)"> <path d="M470 557C393 591 314 624 246 666H224C156 624 76 591 0 557L12 532C86 550 163 573 235 596C309 572 384 550 458 532L470 557Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,11.618,0)"> <path d="M475 507C475 612 440 712 326 712C139 712 23 420 23 215C23 96 58 -12 180 -12C369 -12 475 293 475 507ZM391 522C391 486 387 448 379 394H126C155 538 222 677 310 677C386 677 391 571 391 522ZM373 346C344 193 283 22 189 22C126 22 106 114 106 196C106 243 111 293 118 346H373Z"></path> </g> </svg></span></td> <td class="align_center">稀疏的系数</td> </tr> <tr> <td class="align_left"><i>k</我></td> <td class="align_center">稀疏的价值</td> </tr> <tr> <td class="align_left"><i>一个</我>,<年代vg height="8.8423pt" id="M4" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 9.74267 8.8423" width="9.74267pt" 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="M377 665C166 665 44 494 44 317C44 126 183 -15 363 -15C547 -15 695 118 695 333C695 533 546 665 377 665ZM355 630C491 630 593 515 593 304C593 112 496 22 385 22C245 22 146 157 146 345S244 630 355 630ZM502 225V442H471C464 375 459 369 411 369H326C278 368 273 374 266 442H235V225H266C273 292 278 299 326 299H411C459 299 464 292 471 225H502Z"></path> </g> </svg></td> <td class="align_center">感知矩阵</td> </tr> <tr> <td class="align_left"><i>米</我></td> <td class="align_center">数量的路径</td> </tr> <tr> <td class="align_left"><i>n</我></td> <td class="align_center">的节点数量</td> </tr> <tr> <td class="align_left"><span style="width: 7.34167ptpx;"> <svg height="9.39034pt" id="M5" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.34167 9.39034" width="7.34167pt" 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="M538 96L524 119C492 88 454 63 446 63C439 63 434 70 440 101C463 223 491 341 518 448H508L433 422L401 276C355 192 240 56 188 56C163 56 154 89 163 133C184 233 207 338 235 443L230 448L152 424L58 17C40 -60 23 -143 23 -185C23 -241 42 -261 63 -261C92 -261 117 -241 125 -227L124 -221C109 -209 89 -165 89 -103C89 -55 96 -13 105 26H107C121 -3 134 -12 151 -12C172 -12 194 -5 221 16C279 61 330 124 384 194H386C381 159 377 141 368 105C343 3 363 -12 383 -12C416 -12 486 35 538 96Z"></path> </g> </svg></span></td> <td class="align_center">相关系数</td> </tr> <tr> <td class="align_left"><i>t</我></td> <td class="align_center">随机路径的长度</td> </tr> <tr> <td class="align_left"><span style="width: 16.4572ptpx;"> <svg height="11.927pt" id="M6" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 16.4572 11.927" width="16.4572pt" 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="M962 650H739L732 622L760 619C812 613 819 604 798 552C760 457 671 267 606 131H604L511 638H480L237 131H233L183 554C177 607 183 614 226 619L248 622L257 650H24L17 622C88 615 92 611 103 524L173 -11H203L450 491H453L543 -11H575L839 529C882 609 886 613 953 622L962 650Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,10.777,3.132)"> <path d="M528 97L513 125C484 95 440 68 431 68C425 68 421 76 427 107C449 227 476 342 505 451H495L418 424L385 278C338 191 220 62 157 62C145 62 133 76 145 130L200 368C215 434 210 451 183 451C157 451 92 418 24 352L37 324C78 356 106 377 115 377C123 377 122 364 116 340L64 115C58 89 56 68 56 52C56 2 78 -12 103 -12C127 -12 159 -4 190 18C247 59 309 113 366 187H368L351 108C328 1 348 -12 368 -12C403 -12 472 33 528 97Z"></path> </g> </svg></span></td> <td class="align_center">路径<我>W</我>从<我>u</我></td> </tr> <tr> <td class="align_left">度(<年代p一个ncl一个年代年代="nowrap"> <svg height="6.04987pt" id="M7" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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> </svg>)</年代p一个n></td> <td class="align_center">节点度<年代vg height="6.04987pt" id="M8" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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> </svg></td> </tr> <tr> <td class="align_left">前(<年代p一个ncl一个年代年代="nowrap"> <svg height="6.04987pt" id="M9" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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> </svg>)</年代p一个n></td> <td class="align_center">前一个节点的节点<年代vg height="6.04987pt" id="M10" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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> </svg></td> </tr> <tr> <td class="align_left"><span style="width: 16.2148ptpx;"> <svg height="11.439pt" id="M11" 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></span></td> <td class="align_center">顶点集</td> </tr> <tr> <td class="align_left"><span style="width: 15.0013ptpx;"> <svg height="11.439pt" id="M12" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 15.0013 11.439" width="15.0013pt" 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="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 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259 607 262 667 271L673 297Z"></path> </g> </svg>(<年代vg height="8.8423pt" id="M14" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 9.35121 8.8423" width="9.35121pt" 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> </svg>,<我>E</我>)</td> <td class="align_center">无向图的<年代vg height="8.8423pt" id="M15" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 9.35121 8.8423" width="9.35121pt" 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> </svg>和<我>E</我>作为参数</td> </tr> <tr> <td class="align_left"><i>R</我>,<我>r</我></td> <td class="align_center">节点通信半径</td> </tr> <tr class="table-tr"> <td colspan="2"> <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</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/tab1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 符号和含义。</d我v> </div> </div> </div> <p><span class="statement" id="deff1"><span class="statement-title"><i class="statement-title">定义1。</我></span>(无向图)。一个图表<年代vg height="8.8423pt" id="M16" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 9.02496 8.8423" width="9.02496pt" 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="M673 297H417L411 270C517 261 522 258 506 183L487 92C476 38 428 19 360 19C207 19 123 132 123 287C123 472 243 631 441 631C557 631 617 583 617 469L647 472C650 545 655 604 658 632C625 643 554 666 467 666C201 666 23 502 23 278C23 90 156 -16 339 -16C410 -16 501 6 569 24C566 43 567 70 573 101L589 183C604 259 607 262 667 271L673 297Z" id="g113-72"></path> </g> </svg>= (<年代p一个ncl一个年代年代="nowrap"> <svg height="8.8423pt" id="M17" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 9.35121 8.8423" width="9.35121pt" 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" id="g113-87"></path> </g> </svg>,</年代p一个n><i>E</我>)没有方向的一条边称为一个无向图当且仅当满足以下条件:<年代p一个ncl一个年代年代="list"><span class="list-item"><span class="list-label">(1)</年代p一个n><span class="list-content">顶点集<年代vg height="8.8423pt" id="M18" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 9.35121 8.8423" width="9.35121pt" 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="#g113-87"></use> </g> </svg>是一个非空的组</年代p一个n></span><span class="list-item"><span class="list-label">(2)</年代p一个n><span class="list-content">边集<我>E</我>是一组无序two-tuples组成的元素<年代vg height="8.8423pt" id="M19" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 9.35121 8.8423" width="9.35121pt" 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="#g113-87"></use> </g> </svg></span></span></span></span></p> <p><span class="statement" id="deff2"><span class="statement-title"><i class="statement-title">定义2。</我></span>(邻居节点)。为节点<我>u</我>,如果节点<年代vg height="6.04987pt" id="M20" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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" id="g185-40"></path> </g> </svg>存在,节点<我>u</我>可以与节点通信<年代vg height="6.04987pt" id="M21" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>通信半径内,满足<我>r</我>(<我>u</我>,<年代p一个ncl一个年代年代="nowrap"> <svg height="6.04987pt" id="M22" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>)</年代p一个n> <svg height="8.89449pt" id="M23" style="vertical-align:-1.11981pt" version="1.1" viewbox="-0.0498162 -7.77468 7.75925 8.89449" width="7.75925pt" 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="M531 71V127L115 310L531 494V550L57 335V285L531 71ZM531 -40V10H57V-40H531Z" id="g117-93"></path> </g> </svg><i>R</我>(<我>R</我>是通信半径)。然后,调用节点<年代vg height="6.04987pt" id="M24" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>一个邻居节点<我>u</我>。</年代p一个n></p> <p><span class="statement" id="deff3"><span class="statement-title"><i class="statement-title">定义3。</我></span>(随机路径)。在无线传感器网络中,如果有任何连续的路径包括邻居节点和路径长度<我>t</我> <svg height="8.89449pt" id="M25" style="vertical-align:-1.11981pt" version="1.1" viewbox="-0.0498162 -7.77468 7.75925 8.89449" width="7.75925pt" 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="M531 285V335L57 550V494L473 310L57 127V71L531 285ZM531 -40V10H57V-40H531Z" id="g117-94"></path> </g> </svg><i>o</我>(<我>n</我>/<我>k</我>)满意,路径被称为随机路径。<br>对于无向图<年代vg height="8.8423pt" id="M26" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 9.02496 8.8423" width="9.02496pt" 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="#g113-72"></use> </g> </svg>= (<年代p一个ncl一个年代年代="nowrap"> <svg height="8.8423pt" id="M27" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 9.35121 8.8423" width="9.35121pt" 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="#g113-87"></use> </g> </svg>,</年代p一个n><i>E</我>),让顶点集<年代vg height="8.8423pt" id="M28" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 9.35121 8.8423" width="9.35121pt" 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="#g113-87"></use> </g> </svg>在无线传感器网络节点的集合;也就是说,<年代vg height="8.8423pt" id="M29" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 9.35121 8.8423" width="9.35121pt" 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="#g113-87"></use> </g> </svg>=<我>n</我>;构造一个布尔值观测矩阵Φ通过完成<我>米</我>无向图的随机路径<年代vg height="8.8423pt" id="M30" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 9.02496 8.8423" width="9.02496pt" 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="#g113-72"></use> </g> </svg>= (<年代p一个ncl一个年代年代="nowrap"> <svg height="8.8423pt" id="M31" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 9.35121 8.8423" width="9.35121pt" 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="#g113-87"></use> </g> </svg>,</年代p一个n><i>E</我>),无线传感器网络数据收集如图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig2/" target="_blank">2</一个>在下面。<br>例如,在数据收集过程图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig2/" target="_blank">2</一个>首先,随机选择节点<年代vg height="6.04987pt" id="M32" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>作为初始节点的路径;第二,节点<年代vg height="6.04987pt" id="M33" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>选择邻居节点<我>l</我>作为随机路径的下一跳节点的通信范围内,然后随机选择邻居节点<我>p</我>和<我>问</我>被添加到路径;然后,感知数据聚合和投射在节点<我>问</我>。最后,节点<我>问</我>将投影数据发送到汇聚节点通过最短的路由方法来分析和恢复数据。<br>在图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig2/" target="_blank">2</一个>,如果随机路径随机选择下一跳节点,当它到达的节点,由于节点的邻居节点集只是节点和已经到达时,路径不满足需求随机路径的长度,所以观测矩阵施工失败和感知数据的收集是不完整的。为了避免这种情况,每个随机路径的建设期间,传统的节点随机选择算法进行了分析和有效的数据收集算法。在构建的随机路径,一个邻居节点集构造为当前节点,每个节点的邻居节点集对邻居节点的数目分别计算,然后总数中的所有节点的邻居节点的邻居节点集计算;然后设置一个合理的阈值过滤中的节点的邻居节点集,,最后,选择合适的随机选择邻居节点。</年代p一个n></p> <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="6467891.fig.002" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.002.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图2</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/fig2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 数据采集与随机游走的过程。</d我v> </div> </div> </div> <h5 id="sec3.2">3.2。属性分析</h5> <p>因为当前节点在每个随机路径的选择可能会影响下一个节点的选择,分析了无线传感器网络的本质,然后在当前网络存在的问题进行了分析根据传感器网络的属性。改进方法的缺点,提出了新的解决方案。</p> <p><span class="statement" id="deff4"><span class="statement-title"><i class="statement-title">定义4。</我></span>(可及节点)。在无线传感器网络中,如果节点<我>u</我>可以达到节点<年代vg height="6.04987pt" id="M34" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>通过<我>n</我>(<我>n</我> <svg height="8.89449pt" id="M35" style="vertical-align:-1.11981pt" version="1.1" viewbox="-0.0498162 -7.77468 7.75925 8.89449" width="7.75925pt" 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="#g117-94"></use> </g> </svg>1)连续的邻居节点,然后<年代vg height="6.04987pt" id="M36" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>被称为可及节点的<我>u</我>。</年代p一个n></p> <p><span class="statement" id="deff5"><span class="statement-title"><i class="statement-title">定义5。</我></span>(可获得的路径)。在无线传感器网络中,如果有一个路径形成的<我>n</我>(<我>n</我> <svg height="8.89449pt" id="M37" style="vertical-align:-1.11981pt" version="1.1" viewbox="-0.0498162 -7.77468 7.75925 8.89449" width="7.75925pt" 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="#g117-94"></use> </g> </svg>2)连续从节点的邻居节点<我>u</我>和结束节点<年代p一个ncl一个年代年代="nowrap"> <svg height="6.04987pt" id="M38" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>,</年代p一个n>然后它被称为访问路径和作为来标示<我>R</我>(<我>u</我>,<年代p一个ncl一个年代年代="nowrap"> <svg height="6.04987pt" id="M39" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>)。</年代p一个n></span></p> <p><span class="statement" id="infer1"><span class="statement-title"><i class="statement-title">推论1。</我></span>两个可及节点之间形成的路径称为访问路径。</年代p一个n></p> <p><span class="statement" id="deff6"><span class="statement-title"><i class="statement-title">定义6。</我></span>(可获得的路径长度)。如果有一个可访问的路径<我>R</我>(<我>u</我>,<年代p一个ncl一个年代年代="nowrap"> <svg height="6.04987pt" id="M40" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>)</年代p一个n>从节点<我>u</我>和结束节点<年代p一个ncl一个年代年代="nowrap"> <svg height="6.04987pt" id="M41" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>,</年代p一个n>节点之间的连接数量<我>u</我>和<年代vg height="6.04987pt" id="M42" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>被称为可获得的路径长度,用吗<我>l</我><<我>u</我>,<年代vg height="6.04987pt" id="M43" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>>。<br>在图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig3/" target="_blank">3</一个>、节点<年代vg height="6.04987pt" id="M44" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>是一个邻居节点的节点<我>u</我>、节点<我>x</我>是一个邻居节点的节点<年代p一个ncl一个年代年代="nowrap"> <svg height="6.04987pt" id="M45" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>,</年代p一个n>节点<我>u</我>可以达到节点<我>x</我>通过节点<年代p一个ncl一个年代年代="nowrap"> <svg height="6.04987pt" id="M46" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>,</年代p一个n>和节点<我>x</我>可及节点的节点吗<我>u</我>。的路径<年代vg height="6.45437pt" id="M47" style="vertical-align:-0.2324901pt" version="1.1" viewbox="-0.0498162 -6.22188 71.3369 6.45437" width="71.3369pt" 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="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" id="g113-118"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.626,0)"> <path d="M567 230V280H69V230H567Z" id="g117-149"></path> </g> <g transform="matrix(.013,0,0,-0.013,16.402,0)"> <path d="M901 255C861 290 790 361 716 442L694 427L796 280H69V230H796L694 83L716 68C790 149 861 220 901 255Z" id="g117-148"></path> </g> <g transform="matrix(.013,0,0,-0.013,32.513,0)"> <use xlink:href="#g185-40"></use> </g> <g transform="matrix(.013,0,0,-0.013,42.008,0)"> <use xlink:href="#g117-149"></use> </g> <g transform="matrix(.013,0,0,-0.013,47.784,0)"> <use xlink:href="#g117-148"></use> </g> <g transform="matrix(.013,0,0,-0.013,63.895,0)"> <path d="M536 404C536 423 520 448 491 448C445 448 398 404 308 283L286 338C255 416 242 448 217 448C182 448 138 402 92 341L111 321C149 368 169 378 178 378C188 378 198 363 214 320L254 212C185 117 138 65 107 65C98 65 85 69 82 75C79 82 73 86 65 86C44 86 23 60 23 39C23 7 44 -12 71 -12C119 -12 168 33 265 177L306 61C321 17 347 -12 373 -12C413 -12 465 33 507 96L491 119C459 84 432 60 413 60C395 60 378 92 358 148L321 250C341 279 369 310 389 332C417 363 439 382 456 382C466 382 475 376 481 368C486 361 492 358 496 358C513 358 536 381 536 404Z" id="g113-121"></path> </g> </svg>是一个可访问的路径<我>R</我>(<我>u</我>,<我>x</我>),可获得的路径长度是2,这是<我>l</我><<我>u</我>,<年代vg height="6.04987pt" id="M48" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>> = 2。</年代p一个n></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="6467891.fig.003" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.003.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图3</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/fig3/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 选择下一个节点。</d我v> </div> </div> </div> <p><span class="statement" id="thm1"><span class="statement-title">定理1。</年代p一个n><i>如果节点<我>b</我>一个邻居节点<我>一个</我>,然后<我>b</我>必须是一个可及节点的<我>一个</我>。</我></span></p> <p><span class="statement" id="proof1"><span class="statement-title"><i class="statement-title">证明。</我></span>节点<我>b</我>一个邻居节点<我>一个</我>。可获得的路径<我>R</我>(<我>一个</我>,<我>b</我>)可以在节点之间形成<我>b</我>和节点<我>一个</我>通过定义<一个href="#deff5">5</一个>。也就是说,节点<我>一个</我>可以达到的邻居节点<我>b</我>符合定义<一个href="#deff4">4</一个>;节点<我>b</我>被称为可及节点的节点<我>一个</我>。从图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig3/" target="_blank">3</一个>和定义<一个href="#deff4">4</一个>,我们知道<我>x</我>是一个可及节点的<我>u</我>,但<我>x</我>不是一个邻居节点的<我>u</我>。</年代p一个n></p> <p><span class="statement" id="thm2"><span class="statement-title">定理2。</年代p一个n><i>如果有一个随机路径,这个路径必须是可访问的路径。</我></span></p> <p><span class="statement" id="proof2"><span class="statement-title"><i class="statement-title">证明。</我></span>有一个随机的路径。随机路径长度<我>t</我> <svg height="8.89449pt" id="M49" style="vertical-align:-1.11981pt" version="1.1" viewbox="-0.0498162 -7.77468 7.75925 8.89449" width="7.75925pt" 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="#g117-94"></use> </g> </svg><i>o</我>(<我>n / k</我>)是通过定义<一个href="#deff3">3</一个>。如果<我>k</我>和<我>n</我>是已知的,那么<我>n</我>/<我>k</我>> 2的存在。通过定义<一个href="#deff5">5</一个>,可获得的路径长度要求是满足。因此,随机路径长度满足可访问的路径长度要求;也就是说,随机路径必须是可以达到的路径。</年代p一个n></p> <p><span class="statement" id="deff7"><span class="statement-title"><i class="statement-title">定义7。</我></span>(<我>P</我>函数设置)。为节点<我>一个</我>的邻居节点集<年代ub><i>一个</我></sub><i>T</我>、节点<我>0</我>的邻居节点集<我>T</我><sub><i>b</我></sub>和满足节点<我>b</我> <svg height="7.88973pt" id="M50" style="vertical-align:-0.6370101pt" version="1.1" viewbox="-0.0498162 -7.25272 6.98937 7.88973" width="6.98937pt" 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="M448 1V51H364C248 51 153 129 140 230H448V280H140C153 381 248 459 364 459H448V509H365C208 509 80 395 80 255S208 1 365 1H448Z" id="g117-173"></path> </g> </svg><i>T</我><sub><i>一个</我></sub>;然后函数<我>p</我>(<我>一个</我>,<我>b</我>)<年代vg height="5.65839pt" id="M51" style="vertical-align:-0.04980993pt" version="1.1" viewbox="-0.0498162 -5.60858 7.75925 5.65839" width="7.75925pt" 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="M535 323V373H52V323H535ZM535 138V188H52V138H535Z" id="g117-34"></path> </g> </svg><i>T</我><sub><i>一个</我></sub><i>U结核病</我>−{<我>一个</我>}叫做<我>P</我>函数的一组节点<我>一个</我>邻居节点<我>b</我>。<br>定义<一个href="#deff7">7</一个>清楚地表明设置当前节点的通信范围内的节点和其邻近节点提供了必要的组节点为下一个有效的数据收集算法。如图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig4/" target="_blank">4</一个>,假设的初始节点路径网络<我>b</我>,在其通信范围内,其邻居节点集,<我>T</我><sub><i>b</我></sub>= {<我>一个c y</我>},然后在每个节点<我>T</我><sub><i>b</我></sub>集是分开计算和他们<我>P</我>函数集选择建设选择下一跳节点的域。后获得<我>P</我>函数的每个节点,一个合理的阈值可以设置过滤相应的下一跳节点的邻居节点的选择。<年代p一个ncl一个年代年代="list"><span class="list-item"><span class="list-label"></span><span class="list-content">为<我>一个</我>,<我>T</我><sub><i>一个</我></sub>= {<我>b</我>},<我>P</我>(<我>b</我>,<我>一个</我>)=<我>T</我><sub><i>b</我></sub>U<我>T</我><sub><i>一个</我></sub>−{<我>b</我>}= {<我>一个</我>,<我>c</我>,<我>y</我>};</年代p一个n></span><span class="list-item"><span class="list-label"></span><span class="list-content">为<我>c</我>,<我>T</我><sub><i>c</我></sub>= {<我>b</我>,<我>p</我>,<我>y</我>,<我>年代</我>,<我>d</我>},<我>P</我>(<我>b</我>,<我>c</我>)=<我>T</我><sub><i>b</我></sub>U<我>T</我><sub><i>c</我></sub>−{<我>b</我>}= {<我>c</我>,<我>p</我>,<我>y</我>,<我>年代</我>,<我>d</我>,<我>一个</我>};</年代p一个n></span><span class="list-item"><span class="list-label"></span><span class="list-content">为<我>y</我>,<我>T</我><sub><i>y</我></sub>= {<我>b</我>,<我>c</我>,<我>d</我>,<我>年代</我>,<我>t</我>,<我>x</我>},<我>P</我>(<我>b</我>,<我>y</我>)=<我>T</我><sub><i>b</我></sub>U<我>T</我><sub><i>y</我></sub>−{<我>b</我>}= {<我>一个</我>,<我>c</我>,<我>d</我>,<我>y</我>,<我>年代</我>,<我>t</我>,<我>x</我>}。</年代p一个n></span></span>在获得每个节点的函数集,一个合理的阈值可以设置为屏幕适合选择下一跳节点的邻居节点。</年代p一个n></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="" name="6467891.fig.004" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.004.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图4</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/fig4/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> <i>P</我>函数集。</d我v> </div> </div> </div> <h5 id="sec3.3">3.3。算法描述</h5> <p>我们可以看到在图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig2/" target="_blank">2</一个>当前节点在任何可获得的路径,如果随机选择下一个节点,它可能发生,下一个节点的邻居节点集可能是空的或邻居节点的数量少,导致随机道路建设的失败和不完整的数据收集。根据定义<一个href="#deff7">7</一个>在当前节点的前提下,合理设定的阈值计算的数量<我>P</我>当前节点的函数集和每个邻居节点,在此基础上,合理的选择下一个节点进行,以便随机路径达到一个合理的长度,和感知的投影数据。</p> <p>基于当前节点,这个部分比较传统的节点随机选择算法在静态网络(国家管制当局方面)和提出有效的数据收集算法在静态网络(EDCAS),使合理的描述两个算法,分别。</p> <p>在无线传感器网络数据收集,首先,<我>米</我>节点随机选择初始节点<我>米</我>随机路径。在数据收集的过程中每个随机路径,选择合适的节点通过不同节点选择方法获取数据。最后,获得的数据聚集在年底的路径形成投影值感知数据,发送到水槽节点数据重建。</p> <p><span class="statement" id="deff8"><span class="statement-title"><i class="statement-title">定义8。</我></span>(选择邻居节点的数据集)。连接访问路径的任何节点在无线传感器网络中,字母范围内的邻居节点集称为选择邻居节点的数据集,表示为社交。首先,选择初始节点。水槽节点选择<我>米</我>从初始节点<我>N</我>节点通过自己的计算节点开始,每个从节点作为每个随机路径的起点,和具体过程算法所示<一个href="//www.newsama.com/journals/complexity/2020/6467891/alg1/" target="_blank">1</一个>在下面。<br>所示的算法<一个href="//www.newsama.com/journals/complexity/2020/6467891/alg1/" target="_blank">1</一个>,首先,无线传感器网络中的节点是随机生成的<我>n</我>元素由兰德(1∗向量<我>n</我>)函数,节点的顺序是1,2,…(步骤1);其次,1∗<我>n</我>元素是按排序(排序<我>n</我>)函数(步骤2);然后,一个节点<我>k</我>从节点随机选择通过randSelect (<我>p</我>,<我>n</我>)函数(步骤4)。如果当前选择的节点已经存在于指数集<我>年代</我>,初始节点重新计算,直到没有重复的节点(步骤5到7);最后,它被添加到初始节点索引集<我>年代</我>(步骤8)并返回一组(10步)。<br>在无线传感器网络的节点选择算法,首先,分析了传统随机节点选择算法,并在此基础上,一个有效的数据收集算法。<br>所示的算法<一个href="//www.newsama.com/journals/complexity/2020/6467891/alg2/" target="_blank">2</一个>当前节点<年代p一个ncl一个年代年代="nowrap"> <svg height="6.04987pt" id="M52" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>。</年代p一个n>首先,你的邻居节点集<我>SNS</我>(步骤1)<年代vg height="6.04987pt" id="M53" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>节点选择通过函数getSNS (<年代p一个ncl一个年代年代="nowrap"> <svg height="6.04987pt" id="M54" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>);</年代p一个n>其次,你的邻居节点<我>u</我>(步骤2)是随机选择从SNS通过函数randSelect (SNS)。如果路径上的节点已经存在,这意味着该节点已经访问了。然后下一跳节点(步骤3 - 5)是随机选择从SNS,然后随机路径前一步中收集的数据和收集的数据节点<我>u</我>叠加在节点吗<我>u</我>(步骤6),当前随机添加路径长度(步骤7),和当前节点被标记为已经访问(步骤8);最后,返回到下一跳节点<我>u</我>(第9步)。<br>算法<一个href="//www.newsama.com/journals/complexity/2020/6467891/alg2/" target="_blank">2</一个>花图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig5/" target="_blank">5</一个>作为一个例子。假设当前的初始节点<我>c</我>收集到的数据<我>x c</我>(<我>t</我>),你的邻居节点的通信范围<我>c</我>有五个节点<我>b</我>,<我>p</我>,<我>y</我>,<我>年代</我>,<我>d</我>;然后你的邻居节点集SNS = {<我>b</我>,<我>p</我>,<我>y</我>,<我>年代</我>,<我>d</我>};然后节点<我>d</我>随机选择从SNS;下一个节点的<我>c</我>是<我>d</我>;也就是说,收集的数据节点<我>d</我>是<我>x</我><sub><i>d</我></sub>(<我>t</我>+ 1)=<我>x</我><sub><i>c</我></sub>(<我>t</我>)+<我>x</我><sub><i>d</我></sub>(<我>t</我>)。可及节点的通信范围内的节点<我>d</我>是<我>c</我>,<我>y</我>,<我>k</我>,即你的邻居节点集SNS = {<我>c</我>,<我>y</我>,<我>k</我>}。如果节点<我>d</我>随机选择下一跳节点<我>k</我>,然后收集的数据节点<我>k</我>是<我>x</我><sub><i>k</我></sub>(<我>t</我>+ 1)=<我>x</我><sub><i>d</我></sub>(<我>t</我>)+<我>x</我><sub><i>k</我></sub>(<我>t</我>)(<我>t</我>当前随机路径的长度是施工步骤)。<br>在图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig5/" target="_blank">5</一个>,由于分布的边缘节点<我>k</我>,<我>SNS</我>的一组节点<我>k</我>只是<我>d</我>和节点<我>d</我>已被访问。如果当前路径长度不符合<我>t</我>≥<我>o</我>(<我>n</我>/<我>k</我>),然后随机路径数据采集失败和投影的感知数据不能被完成。<br>基于传统的随机节点选择算法,本节提出了一种有效的数据收集算法在静态环境下,与具体的实现算法<一个href="//www.newsama.com/journals/complexity/2020/6467891/alg3/" target="_blank">3</一个>。首先,你的邻居节点集SNS(步骤1)为当前节点被选中,标记节点的数量在当前SNS设置记录,和节点的总数<我>P</我>初始化函数集(步骤2 - 3);然后,<我>P</我>函数计算出每组节点标记节点<我>SNS</我>分别的节点数据<我>P</我>函数集添加到节点总数水分(步骤4 - 9日)。最后,计算出平均阈值和使用下一跳节点选择(步骤10)。对于每一个标记节点SNS,的长度<我>P</我>函数集是分开计算的。如果长度超过或等于平均阈值,当前节点的邻居节点集添加到缓存<我>tempSNS</我>(11 - 15号的步骤)。然后,该函数<我>randSelect</我>(<我>tempSNS</我>)用于随机选择节点<我>u</我>从<我>tempSNS</我>设置为下一跳节点(步骤16)。最后,将当前节点采集的数据添加到路径,添加一个到当前路径长度(步骤17 - 18),标志着当前节点(步骤19),并返回到下一跳节点<我>u</我>(步骤20)。<br>把图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig6/" target="_blank">6</一个>作为一个例子来描述详细有效的数据收集算法。假设当前的初始节点<我>b</我>,首先获得邻居节点集SNS = {<我>一个</我>,<我>c</我>,<我>y</我>}的节点<我>b</我>选择,标记节点数据集长度= 3,和水分被初始化为0:那么<我>p</我>计算函数集<我>getPSet</我>(<我>p</我>)函数中的每个值<我>SNS</我>分别设置。<年代p一个ncl一个年代年代="list"><span class="list-item"><span class="list-label"></span><span class="list-content">为节点<我>一个</我>,<我>p</我>(<我>b</我>,<我>一个</我>)= {<我>c</我>,<我>y</我>,<我>一个</我>},<我>p</我>(<我>b</我>,<我>一个</我>)长度= 3,水分= 3;</年代p一个n></span><span class="list-item"><span class="list-label"></span><span class="list-content">为节点<我>c</我>,<我>p</我>(<我>b</我>,<我>c</我>)= {<我>p</我>,<我>y</我>,<我>年代</我>,<我>d</我>,<我>一个</我>,<我>c</我>},<我>p</我>(<我>b</我>,<我>c</我>)长度= 6,水分= 3 + 6 = 9;</年代p一个n></span><span class="list-item"><span class="list-label"></span><span class="list-content">为节点<我>y</我>,<我>p</我>(<我>b</我>,<我>y</我>)= (<我>一个</我>,<我>c</我>,<我>d</我>,<我>年代</我>,<我>t</我>,<我>x</我>,<我>y</我>),<我>p</我>(<我>b</我>,<我>y</我>)长度= 7,水分= 9 + 7 = 16。</年代p一个n></span></span>然后,计算平均阈值平均=水分/长度= 16/3,然后每个标记节点<我>SNS</我>再次遍历。对于每个节点,<我>P</我>函数集是分开计算的。如果的长度<我>P</我>函数集超过或等于平均阈值,该节点被添加到缓存的邻居节点集<我>tempSNS</我>。<年代p一个ncl一个年代年代="list"><span class="list-item"><span class="list-label"></span><span class="list-content">为节点<我>一个</我>,<我>P</我>(<我>b</我>,<我>一个</我>)= 3 <长度平均值,不添加<我>tempSNS</我>;</年代p一个n></span><span class="list-item"><span class="list-label"></span><span class="list-content">为节点<我>c</我>,<我>P</我>(<我>b</我>,<我>c</我>)= 6 >平均长度,增加<我>tempSNS</我>;</年代p一个n></span><span class="list-item"><span class="list-label"></span><span class="list-content">为节点<我>y</我>,<我>P</我>(<我>b</我>,<我>y</我>)= 7 >平均长度,增加<我>tempSNS</我>。</年代p一个n></span></span>在一组<我>tempSNS</我>= {<我>c</我>,<我>y</我>}、节点<我>c</我>是随机选择的<我>tempSNS</我>作为下一跳节点,节点数据叠加;那么当前随机路径长度增加1,和节点<我>c</我>被标记为在同一时间访问。<br>有效的数据收集算法可以避免失败的节点选择的过程中收集数据的随机路径在某种程度上。如图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig6/" target="_blank">6</一个>、算法<一个href="//www.newsama.com/journals/complexity/2020/6467891/alg3/" target="_blank">3</一个>过滤器的邻居节点<我>一个</我>在一组<我>SNS</我>。从图中,可以观察到如果节点<我>一个</我>选择当前节点的下一跳节点,然后自数据集节点的邻居节点被选中<我>一个</我>SNS = {<我>b</我>},节点<我>b</我>已经访问标记,它可能会导致节点<我>一个</我>无法继续为这条路选择节点。如果随机路径长度没有达到所需的长度在节点<我>一个</我>,传感器传感数据收集将会失败。</年代p一个n></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></td> <td><b>函数</b>:选择的初始节点<我>米</我>随机路径</td> </tr> <tr> <td></td> <td><b>输入</b>:数量的节点<我>n</我></td> </tr> <tr> <td></td> <td>数量的随机路径<我>米</我></td> </tr> <tr> <td></td> <td><b>输出</b>:索引设置<我>年代</我></td> </tr> <tr> <td></td> <td><b>算法描述</b>:</td> </tr> <tr> <td>(1)</td> <td>兰特(1)∗<我>n</我>∗);/ /随机产生1<我>n</我>元素向量</td> </tr> <tr> <td>(2)</td> <td>排序(<我>n</我>);/ / 1∗排序<我>n</我>元素</td> </tr> <tr> <td>(3)</td> <td><b>foreach</b><i>p</我>≤<我>米</我></td> </tr> <tr> <td>(4)</td> <td><i>k</我>=<我>randSelect</我>(<我>p</我>,<我>n</我>);/ /随机选择节点<我>k</我>形式<我>n</我>节点</td> </tr> <tr> <td>(5)</td> <td><b>而</b><i>k存在于年代</我><b>做</b></td> </tr> <tr> <td>(6)</td> <td><i>k</我>=<我>randSelect</我>(<我>p</我>,<我>n</我>);</td> </tr> <tr> <td>(7)</td> <td><b>结束时</b></td> </tr> <tr> <td>(8)</td> <td><i>年代。</我>add (<我>k</我>);/ /添加节点<我>k</我>初始指标集<我>年代</我></td> </tr> <tr> <td>(9)</td> <td><b>foreach结束</b></td> </tr> <tr> <td>(10)</td> <td><b>返回</b><i>年代</我>/ /返回设置<我>年代</我></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</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/alg1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 最初的无线传感器网络中节点选择。</d我v> </div> </div> </div> <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></td> <td><b>函数</b>:随机选择下一个节点的随机路径</td> </tr> <tr> <td></td> <td><b>输入</b>v:当前节点</td> </tr> <tr> <td></td> <td><b>输出</b>你:下一个节点</td> </tr> <tr> <td></td> <td><b>算法描述</b>:</td> </tr> <tr> <td>(1)</td> <td>SNS = getSNS (<年代p一个ncl一个年代年代="nowrap"> <svg height="6.04987pt" id="M55" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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> </svg>);</年代p一个n>/ /获得邻居节点集SNS</td> </tr> <tr> <td>(2)</td> <td><i>u</我>=<我>randSelect</我>(SNS); / /随机选择节点<我>u</我>从社交网络</td> </tr> <tr> <td>(3)</td> <td><b>而</b><i>你存在于路线</我><b>做</b></td> </tr> <tr> <td>(4)</td> <td><i>u</我>=<我>randSelect</我>(SNS);</td> </tr> <tr> <td>(5)</td> <td><b>结束时</b></td> </tr> <tr> <td>(6)</td> <td><i>x</我><sub><i>u</我></sub>(<我>t</我>)=<年代vg height="9.27027pt" id="M56" style="vertical-align:-3.309361pt" version="1.1" viewbox="-0.0498162 -5.96091 11.9462 9.27027" width="11.9462pt" 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="M536 404C536 423 520 448 491 448C445 448 398 404 308 283L286 338C255 416 242 448 217 448C182 448 138 402 92 341L111 321C149 368 169 378 178 378C188 378 198 363 214 320L254 212C185 117 138 65 107 65C98 65 85 69 82 75C79 82 73 86 65 86C44 86 23 60 23 39C23 7 44 -12 71 -12C119 -12 168 33 265 177L306 61C321 17 347 -12 373 -12C413 -12 465 33 507 96L491 119C459 84 432 60 413 60C395 60 378 92 358 148L321 250C341 279 369 310 389 332C417 363 439 382 456 382C466 382 475 376 481 368C486 361 492 358 496 358C513 358 536 381 536 404Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,7.202,3.132)"> <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> </svg>(<我>t</我>−1)+<我>x</我><sub><i>u</我></sub>(<我>t</我>−1);/ /叠加节点的数据</td> </tr> <tr> <td>(7)</td> <td><i>Route.length</我>=<我>Route.length</我>+ 1;/ /增加1随机路径的长度</td> </tr> <tr> <td>(8)</td> <td><i>u.flag</我>= 1;/ /马克<我>u</我>作为访问</td> </tr> <tr> <td>(9)</td> <td><b>返回</b><i>u</我>/ /返回u</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</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/alg2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 随机选择节点。</d我v> </div> </div> </div> <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="" name="6467891.fig.005" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.005.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图5</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/fig5/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 随机选择节点的例子。</d我v> </div> </div> </div> <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></td> <td><b>函数</b>:随机选择下一个节点的随机路径</td> </tr> <tr> <td></td> <td><b>输入</b>v:当前节点</td> </tr> <tr> <td></td> <td><b>输出</b>你:下一个节点</td> </tr> <tr> <td></td> <td><b>算法描述</b>:</td> </tr> <tr> <td>(1)</td> <td>SNS = getSNS (<年代p一个ncl一个年代年代="nowrap"> <svg height="6.04987pt" id="M57" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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> </svg>);</年代p一个n>/ /获得邻居节点集<我>SNS</我></td> </tr> <tr> <td>(2)</td> <td><i>长度</我>=<我>SNS.length</我>,/ /获得未标记节点SNS的长度</td> </tr> <tr> <td>(3)</td> <td>水分= 0;</td> </tr> <tr> <td>(4)</td> <td><b>foreach</b><i>节点p在SNS</我></td> </tr> <tr> <td>(5)</td> <td><b>如果</b><i>P不存在于路线</我><b>然后</b></td> </tr> <tr> <td>(6)</td> <td><i>P</我>(<年代p一个ncl一个年代年代="nowrap"> <svg height="6.04987pt" id="M58" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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> </svg>,</年代p一个n><i>p</我>)=<我>getPSet</我>(<我>p</我>);</td> </tr> <tr> <td>(7)</td> <td><i>水分</我>=<我>水分</我>+<我>P</我>(<年代p一个ncl一个年代年代="nowrap"> <svg height="6.04987pt" id="M59" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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> </svg>,</年代p一个n><i>p</我>)<我>长处</我>;</td> </tr> <tr> <td>(8)</td> <td><b>如果</b></td> </tr> <tr> <td>(9)</td> <td><b>foreach结束</b></td> </tr> <tr> <td>(10)</td> <td><i>平均</我>=<我>水分/长度</我>;</td> </tr> <tr> <td>(11)</td> <td><b>foreach</b><i>节点k SNS</我></td> </tr> <tr> <td>(12)</td> <td><b>如果</b><i>在路线和getPSet k不存在</我>(<我>k</我>)<我>长处</我> <svg height="8.89449pt" id="M60" style="vertical-align:-1.11981pt" version="1.1" viewbox="-0.0498162 -7.77468 7.75925 8.89449" width="7.75925pt" 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="M531 285V335L57 550V494L473 310L57 127V71L531 285ZM531 -40V10H57V-40H531Z"></path> </g> </svg><i>平均</我><b>然后</b></td> </tr> <tr> <td>(13)</td> <td><i>tempSNS.add</我>(<我>k</我>);</td> </tr> <tr> <td>(14)</td> <td><b>如果</b></td> </tr> <tr> <td>(15)</td> <td><b>foreach结束</b></td> </tr> <tr> <td>(16)</td> <td><i>u</我>=<我>randSelect</我>(<我>tempSNS</我>);/ /随机选择节点<我>u</我>从<我>tempSNS</我></td> </tr> <tr> <td>(17)</td> <td><i>x</我><sub><i>u</我></sub>(<我>t</我>)=<年代vg height="9.27027pt" id="M61" style="vertical-align:-3.309361pt" version="1.1" viewbox="-0.0498162 -5.96091 11.9462 9.27027" width="11.9462pt" 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="M536 404C536 423 520 448 491 448C445 448 398 404 308 283L286 338C255 416 242 448 217 448C182 448 138 402 92 341L111 321C149 368 169 378 178 378C188 378 198 363 214 320L254 212C185 117 138 65 107 65C98 65 85 69 82 75C79 82 73 86 65 86C44 86 23 60 23 39C23 7 44 -12 71 -12C119 -12 168 33 265 177L306 61C321 17 347 -12 373 -12C413 -12 465 33 507 96L491 119C459 84 432 60 413 60C395 60 378 92 358 148L321 250C341 279 369 310 389 332C417 363 439 382 456 382C466 382 475 376 481 368C486 361 492 358 496 358C513 358 536 381 536 404Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,7.202,3.132)"> <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> </svg>(<我>t</我>−1)+<我>x</我><sub><i>u</我></sub>(<我>t</我>−1);/ /叠加节点的数据</td> </tr> <tr> <td>(18)</td> <td><i>Route.length</我>=<我>Route.length</我>+ 1;/ /增加1随机路径的长度</td> </tr> <tr> <td>(19)</td> <td><i>u.flag</我>= 1;/ /马克<我>u</我>作为访问</td> </tr> <tr> <td>(20)</td> <td><b>返回</b><i>u</我>/ /返回u</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</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/alg3/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 有效的数据收集算法。</d我v> </div> </div> </div> <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="" name="6467891.fig.006" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.006.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图6</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/fig6/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 随机选择节点的例子。</d我v> </div> </div> </div> <h4 id="efficient-data-collection-method-in-mobile-sensor-network">4所示。高效的移动传感器网络的数据收集方法</h4> <h5 id="sec4.1">4.1。问题描述</h5> <p>本节将介绍无线传感器节点位置的变化在移动网络环境和随机路径中节点选择数据收集的方法。在一个静态的环境中,一个节点可以与节点通信半径之内。然而,在移动网络环境中,节点的位置可能会改变,由于外部环境的变化。节点可以沟通由于失去联系,距离的变化,然后随机路径的建设有影响。</p> <p>如图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig7/" target="_blank">7</一个>假设三个随机路径是必需的,包括5个传感器节点。图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig7/" target="_blank">7(一)</一个>显示了节点位置在时间<我>t</我>=<我>t</我><sub>1</年代ub>。首先,三个初始节点<我>一个</我>,<我>f</我>,<我>米</我>随机选择。然后,每个节点的通信半径内,节点随机选择邻居节点形式<我>一个</我>⟶<我>b</我>⟶<我>c</我>⟶<我>d</我>⟶<我>e</我>,<我>f</我>⟶<年代vg height="9.39034pt" id="M62" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="M546 430L539 434C529 434 505 438 495 440C473 444 450 448 430 448C352 448 265 412 213 366C145 306 96 203 96 103C96 22 135 -12 160 -12C190 -12 238 14 262 32C310 68 368 120 411 184H413C403 117 396 75 384 21C353 -118 325 -158 291 -184C270 -200 241 -205 208 -205C133 -205 90 -164 74 -110C70 -98 58 -100 49 -107C34 -119 23 -140 23 -155C23 -190 74 -261 166 -261C219 -261 280 -233 314 -208C383 -157 446 -79 470 81C491 223 529 388 546 430ZM456 386C452 357 433 283 420 252C402 216 366 174 325 129C288 88 239 56 212 56C192 56 182 77 182 120C182 165 199 242 226 292C256 348 281 377 311 389C327 395 353 402 375 402C408 402 436 394 456 386Z" id="g113-104"></path> </g> </svg>⟶<我>我</我>⟶<我>j</我>⟶<我>k</我>,<我>米</我>⟶<我>n</我>⟶<我>j</我>⟶<我>o</我>⟶<我>p</我>数据收集,三个路线。其中,实线表示选择的路由节点的随机路径,而虚线表示传感器节点在下一时刻的位置变化;例如,<我>我</我>代表节点的位置<我>我</我>在<我>t</我>=<我>t</我><sub>2</年代ub>(<我>t</我><sub>2</年代ub>=<我>t</我><sub>1</年代ub>+ 1)。节点的位置<我>t</我>=<我>t</我><sub>2</年代ub>如图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig7/" target="_blank">7 (b)</一个>,实线表示随机路径选择节点的位置改变后,和虚线表明随机路径的连接断开连接由于节点位置改变。的距离<我>d</我>超过的通信半径,和通信无法进行,所以路径<我>一个</我>⟶<我>b</我>⟶<我>c</我>⟶<我>d</我>⟶<我>e</我>就变成了<我>一个</我>⟶<我>b</我>⟶<我>c</我>⟶<我>d</我>:节点的位置<年代p一个ncl一个年代年代="nowrap"> <svg height="9.39034pt" id="M63" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>,</年代p一个n><i>我</我>,<我>l</我>已经改变了,但是节点<我>f</我>和<年代vg height="9.39034pt" id="M64" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>仍在通信半径内,和通信仍然可以执行。节点<年代vg height="9.39034pt" id="M65" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>和节点<我>l</我>也可以交流。节点<年代vg height="9.39034pt" id="M66" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>和节点<我>我</我>有一个更大的沟通距离,不能沟通。节点的邻居节点的数据集<年代vg height="9.39034pt" id="M67" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>是{<我>f</我>,<我>l</我>,<我>问</我>}。节点的邻居节点的数据集<我>l</我>是{<年代vg height="9.39034pt" id="M68" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>},所以路径<我>f</我>⟶<年代vg height="9.39034pt" id="M69" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>⟶<我>我</我>⟶<我>j</我>⟶<我>k</我>不能与节点通信<我>我</我>当它到达节点<年代p一个ncl一个年代年代="nowrap"> <svg height="9.39034pt" id="M70" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>。</年代p一个n>如果节点<年代vg height="9.39034pt" id="M71" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>随机选择节点<我>l</我>作为下一个节点的路径,同样,在达到<我>l</我>只是,因为邻居数据集<年代vg height="9.39034pt" id="M72" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>不能选择下一跳节点,路径<我>f</我>⟶<年代vg height="9.39034pt" id="M73" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>⟶<我>l</我>。因为路径长度不符合要求,随机路径数据采集失败。</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)" name="6467891.fig.007a" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.007a.svgz"> <br> <strong>(一)</年代trong> </div> <div class="partial-carousel--single-image"> <img alt="(b)" name="6467891.fig.007b" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.007b.svgz"> <br> <strong>(b)</年代trong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig7"> <button class="partial-carousel-dot" aria-label="(a)"><img alt="(一)" name="6467891.fig.007a" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.007a.svgz"><br><strong>(一)</年代trong></button> <button class="partial-carousel-dot" aria-label="(b)"><img alt="(b)" name="6467891.fig.007b" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.007b.svgz"><br><strong>(b)</年代trong></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</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/fig7/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 传感器节点动态网络。(一)<我>t</我>=<我>t</我> <sub>1</年代ub>。(b)<我>t</我>=<我>t</我> <sub>2</年代ub>。</d我v> </div> </div> </div> <p>在上述示例中,如果路径<我>f</我>⟶<年代vg height="9.39034pt" id="M74" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>⟶<我>我</我>⟶<我>j</我>⟶<我>k</我>可以预测节点的位置吗<年代vg height="9.39034pt" id="M75" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>当它到达节点<我>f</我>并预测下一个节点基于节点的邻居节点的数据集的大小<年代p一个ncl一个年代年代="nowrap"> <svg height="9.39034pt" id="M76" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>,</年代p一个n>它将工作做好。节点路径的选择避免失败的随机路径的建设。</p> <p>因此,它是一个重要的部分能够执行位置预测节点随机路径。本章使用极限学习机方法预测节点位置。极端学习机是一种简单而有效的单隐层前馈神经网络学习算法。极端的学习机器只需要设置网络的隐层的节点数量,和算法不需要调整网络的输入重量和隐藏元素的偏移量来生成最优的解决方案。极端学习机具有人工干预少,学习速度快,等等,这是不容易在学习过程中产生局部最优解,因此广泛应用于文本分类、图像识别、生物医学等领域。</p> <h5 id="sec4.2">4.2。属性分析</h5> <p>在移动网络环境中,随机路径的建设可能会失败,由于节点位置的变化。因此,本节首先分析属性在此基础上,提出新的解决方案。</p> <p><span class="statement" id="deff10"><span class="statement-title"><i class="statement-title">定义10。</我></span>(prenode和postnode)。在无线传感器网络中,如果有一个连接节点的路径<我>一个</我>直接向节点<我>b</我>,那么节点<我>一个</我>被称为prenode节点<我>b</我>和节点<我>b</我>被称为postnode节点<我>一个</我>。</年代p一个n></p> <p><span class="statement" id="thm3"><span class="statement-title">定理3。</年代p一个n><i>如果节点<我>一个</我>是前任的节点(或postnode)<我>b</我>,那么节点<我>一个</我>必须是一个邻居节点<我>b</我>。</我></span></p> <p><span class="statement" id="proof3"><span class="statement-title"><i class="statement-title">证明。</我></span>如果节点<我>一个</我>是节点的前任(或postnode)<我>b</我>,必须有<我>r</我>(<我>一个</我>,<我>b</我>)≤<我>R</我>(<我>R</我>是通信半径);然后从邻居节点的定义可以发现。</年代p一个n></p> <p><span class="statement" id="deff11"><span class="statement-title"><i class="statement-title">定义11。</我></span>(历史上的位置)。在移动网络环境中,存在节点ν是记录<年代vg height="13.7721pt" id="M77" style="vertical-align:-3.94357pt" version="1.1" viewbox="-0.0498162 -9.82853 12.0924 13.7721" width="12.0924pt" 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" id="g113-77"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,7.185,-5.741)"> <use xlink:href="#g185-40"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.784)"> <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" id="g50-117"></path> </g> </svg>在时间<我>t</我>;然后如果有次<年代vg height="10.9953pt" id="M78" style="vertical-align:-3.18148pt" version="1.1" viewbox="-0.0498162 -7.81382 9.43046 10.9953" width="9.43046pt" 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" id="g113-117"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,4.368,3.132)"> <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> </svg>和<年代vg height="10.9953pt" id="M79" style="vertical-align:-3.18148pt" version="1.1" viewbox="-0.0498162 -7.81382 9.43046 10.9953" width="9.43046pt" 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="#g113-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,4.368,3.132)"> <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> </svg>(<年代vg height="10.9953pt" id="M80" style="vertical-align:-3.18148pt" version="1.1" viewbox="-0.0498162 -7.81382 9.43046 10.9953" width="9.43046pt" 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="#g113-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,4.368,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg>≤<年代vg height="10.9953pt" id="M81" style="vertical-align:-3.18148pt" version="1.1" viewbox="-0.0498162 -7.81382 9.43046 10.9953" width="9.43046pt" 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="#g113-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,4.368,3.132)"> <use xlink:href="#g50-51"></use> </g> </svg>),然后<年代vg height="13.7721pt" id="M82" style="vertical-align:-3.94357pt" version="1.1" viewbox="-0.0498162 -9.82853 16.5407 13.7721" width="16.5407pt" 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="#g113-77"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.185,-5.741)"> <use xlink:href="#g185-40"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.784)"> <use xlink:href="#g50-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.452,3.784)"> <use xlink:href="#g50-50"></use> </g> </svg>被称为历史地位的<年代p一个ncl一个年代年代="nowrap"> <svg height="13.7721pt" id="M83" style="vertical-align:-3.94357pt" version="1.1" viewbox="-0.0498162 -9.82853 16.5407 13.7721" width="16.5407pt" 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="#g113-77"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.185,-5.741)"> <use xlink:href="#g185-40"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.784)"> <use xlink:href="#g50-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.452,3.784)"> <use xlink:href="#g50-51"></use> </g> </svg>。</年代p一个n></span></p> <p><span class="statement" id="deff12"><span class="statement-title"><i class="statement-title">定义12。</我></span>(历史轨迹和未来的轨迹)。在移动网络环境中,如果有一组节点的位置<我>u</我>在连续的时间单位<年代vg height="8.8423pt" id="M84" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 11.0475 8.8423" width="11.0475pt" 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="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" id="g113-79"></path> </g> </svg>= {<年代p一个ncl一个年代年代="nowrap"> <svg height="13.8999pt" id="M85" style="vertical-align:-3.94351pt" version="1.1" viewbox="-0.0498162 -9.95639 16.5407 13.8999" width="16.5407pt" 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="#g113-77"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.185,-5.741)"> <path d="M528 97L513 125C484 95 440 68 431 68C425 68 421 76 427 107C449 227 476 342 505 451H495L418 424L385 278C338 191 220 62 157 62C145 62 133 76 145 130L200 368C215 434 210 451 183 451C157 451 92 418 24 352L37 324C78 356 106 377 115 377C123 377 122 364 116 340L64 115C58 89 56 68 56 52C56 2 78 -12 103 -12C127 -12 159 -4 190 18C247 59 309 113 366 187H368L351 108C328 1 348 -12 368 -12C403 -12 472 33 528 97Z" id="g50-118"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.784)"> <use xlink:href="#g50-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.452,3.784)"> <use xlink:href="#g50-50"></use> </g> </svg>,</年代p一个n>⋯,<年代p一个ncl一个年代年代="nowrap"> <svg height="13.8999pt" id="M86" style="vertical-align:-3.94351pt" version="1.1" viewbox="-0.0498162 -9.95639 12.8557 13.8999" width="12.8557pt" 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="#g113-77"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.185,-5.741)"> <use xlink:href="#g50-118"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.784)"> <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" id="g50-106"></path> </g> </svg>,。</年代p一个n>。。,<年代vg height="13.8999pt" id="M87" style="vertical-align:-3.94351pt" version="1.1" viewbox="-0.0498162 -9.95639 16.9334 13.8999" width="16.9334pt" 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="#g113-77"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.185,-5.741)"> <use xlink:href="#g50-118"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.784)"> <use xlink:href="#g50-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.616,3.784)"> <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> </svg>}(我∈(<我>t</我>1,<我>t</我><sub><i>n</我></sub>),那么它被称为集合<年代vg height="11.8174pt" id="M88" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 15.1458 11.8174" width="15.1458pt" 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="#g113-79"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,10.062,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg>= {<年代p一个ncl一个年代年代="nowrap"> <svg height="13.8999pt" id="M89" style="vertical-align:-3.94351pt" version="1.1" viewbox="-0.0498162 -9.95639 16.5407 13.8999" width="16.5407pt" 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="#g113-77"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.185,-5.741)"> <use xlink:href="#g50-118"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.784)"> <use xlink:href="#g50-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.452,3.784)"> <use xlink:href="#g50-50"></use> </g> </svg>,</年代p一个n>⋯,<年代vg height="13.8999pt" id="M90" style="vertical-align:-3.94351pt" version="1.1" viewbox="-0.0498162 -9.95639 12.8557 13.8999" width="12.8557pt" 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="#g113-77"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.185,-5.741)"> <use xlink:href="#g50-118"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.784)"> <use xlink:href="#g50-106"></use> </g> </svg>}这是集<年代vg height="11.8174pt" id="M91" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 15.1458 11.8174" width="15.1458pt" 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="#g113-79"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,10.062,3.132)"> <use xlink:href="#g50-51"></use> </g> </svg>= {<年代p一个ncl一个年代年代="nowrap"> <svg height="13.8999pt" id="M92" style="vertical-align:-3.94351pt" version="1.1" viewbox="-0.0498162 -9.95639 12.8557 13.8999" width="12.8557pt" 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="#g113-77"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.185,-5.741)"> <use xlink:href="#g50-118"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.784)"> <use xlink:href="#g50-106"></use> </g> </svg>,。</年代p一个n>。。,<年代vg height="13.8999pt" id="M93" style="vertical-align:-3.94351pt" version="1.1" viewbox="-0.0498162 -9.95639 16.9334 13.8999" width="16.9334pt" 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="#g113-77"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,7.185,-5.741)"> <use xlink:href="#g50-118"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.784)"> <use xlink:href="#g50-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.616,3.784)"> <use xlink:href="#g50-111"></use> </g> </svg>}的历史轨迹;<年代vg height="11.8174pt" id="M94" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 15.1458 11.8174" width="15.1458pt" 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="#g113-79"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,10.062,3.132)"> <use xlink:href="#g50-51"></use> </g> </svg>是<年代vg height="11.8174pt" id="M95" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 15.1458 11.8174" width="15.1458pt" 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="#g113-79"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,10.062,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg>未来的轨迹。</年代p一个n></p> <p><span class="statement" id="deff13"><span class="statement-title"><i class="statement-title">定义13。</我></span>(历史路径和未来的路径)。在移动网络环境中,如果有一个可访问的路径<年代p一个ncl一个年代年代="inline_break"> <svg height="11.5564pt" id="M96" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 22.608 11.5564" width="22.608pt" 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="M610 18C585 26 567 34 540 68C517 97 499 128 476 171C452 215 425 276 413 304C496 332 570 394 570 494C570 555 545 595 509 619S419 650 364 650H139L133 622C216 615 219 612 203 527L129 132C112 40 105 36 23 28L17 0H279L285 28C199 34 194 40 211 132L239 284H284C320 284 334 275 351 236C374 182 394 140 420 93C459 23 495 -1 592 -8H600L610 18ZM480 485C480 424 449 372 403 342C374 323 338 316 293 316H245L291 562C296 589 301 601 311 608S337 618 358 618C432 618 480 575 480 485Z" id="g113-83"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.151,0)"> <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,-0.013,12.649,0)"> <use xlink:href="#g113-118"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.644,0)"> <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="11.5564pt" style="vertical-align:-2.26807pt" version="1.1" viewbox="24.7371838 -9.28833 10.583 11.5564" width="10.583pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,24.787,0)"> <use xlink:href="#g185-40"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.65,0)"> <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>和一个节点<年代p一个ncl一个年代年代="inline_break"> <svg height="11.5564pt" id="M97" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 28.072 11.5564" width="28.072pt" 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" id="g113-108"></path> </g> <g transform="matrix(.013,0,0,-0.013,6.539,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.037,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.208,0)"> <use xlink:href="#g117-173"></use> </g> </svg><span class="irelop"></span> <svg height="11.5564pt" style="vertical-align:-2.26807pt" version="1.1" viewbox="31.654183800000002 -9.28833 14.444 11.5564" width="14.444pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,31.704,0)"> <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,-0.013,36.189,0)"> <use xlink:href="#g113-118"></use> </g> <g transform="matrix(.013,0,0,-0.013,43.184,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="11.5564pt" style="vertical-align:-2.26807pt" version="1.1" viewbox="48.277183799999996 -9.28833 15.146 11.5564" width="15.146pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,48.327,0)"> <use xlink:href="#g185-40"></use> </g> <g transform="matrix(.013,0,0,-0.013,54.19,0)"> <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,-0.013,58.675,0)"> <use xlink:href="#g113-42"></use> </g> </svg></span>存在,可获得的路径分为两个部分<年代p一个ncl一个年代年代="inline_break"> <svg height="11.5564pt" id="M98" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 22.608 11.5564" width="22.608pt" 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="#g113-83"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.151,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.649,0)"> <use xlink:href="#g113-118"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.644,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="11.5564pt" style="vertical-align:-2.26807pt" version="1.1" viewbox="24.7371838 -9.28833 11.262 11.5564" width="11.262pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,24.787,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,31.326,0)"> <use xlink:href="#g113-42"></use> </g> </svg></span>和<年代p一个ncl一个年代年代="inline_break"> <svg height="11.5564pt" id="M99" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 22.152 11.5564" width="22.152pt" 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="#g113-83"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.151,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.649,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.188,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span><span class="nowrap"> <svg height="11.5564pt" style="vertical-align:-2.26807pt" version="1.1" viewbox="24.282183800000002 -9.28833 10.582 11.5564" width="10.582pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,24.332,0)"> <use xlink:href="#g185-40"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.195,0)"> <use xlink:href="#g113-42"></use> </g> </svg>;</年代p一个n></span>然后,路径<年代p一个ncl一个年代年代="inline_break"> <svg height="11.5564pt" id="M100" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 22.608 11.5564" width="22.608pt" 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="#g113-83"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.151,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.649,0)"> <use xlink:href="#g113-118"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.644,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="11.5564pt" style="vertical-align:-2.26807pt" version="1.1" viewbox="24.7371838 -9.28833 11.262 11.5564" width="11.262pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,24.787,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,31.326,0)"> <use xlink:href="#g113-42"></use> </g> </svg></span>被称为历史的道路<年代p一个ncl一个年代年代="inline_break"> <svg height="11.5564pt" id="M101" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 22.152 11.5564" width="22.152pt" 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="#g113-83"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.151,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.649,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.188,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span><span class="nowrap"> <svg height="11.5564pt" style="vertical-align:-2.26807pt" version="1.1" viewbox="24.282183800000002 -9.28833 10.582 11.5564" width="10.582pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,24.332,0)"> <use xlink:href="#g185-40"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.195,0)"> <use xlink:href="#g113-42"></use> </g> </svg>,</年代p一个n></span>和路径<年代p一个ncl一个年代年代="inline_break"> <svg height="11.5564pt" id="M102" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 22.152 11.5564" width="22.152pt" 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="#g113-83"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.151,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.649,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.188,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="11.5564pt" style="vertical-align:-2.26807pt" version="1.1" viewbox="24.282183800000002 -9.28833 10.582 11.5564" width="10.582pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,24.332,0)"> <use xlink:href="#g185-40"></use> </g> <g transform="matrix(.013,0,0,-0.013,30.195,0)"> <use xlink:href="#g113-42"></use> </g> </svg></span>未来的道路吗<年代p一个ncl一个年代年代="inline_break"> <svg height="11.5564pt" id="M103" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 22.608 11.5564" width="22.608pt" 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="#g113-83"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.151,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,12.649,0)"> <use xlink:href="#g113-118"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.644,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span><span class="nowrap"> <svg height="11.5564pt" style="vertical-align:-2.26807pt" version="1.1" viewbox="24.7371838 -9.28833 11.262 11.5564" width="11.262pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,24.787,0)"> <use xlink:href="#g113-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,31.326,0)"> <use xlink:href="#g113-42"></use> </g> </svg>。</年代p一个n></span><br>如图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig7/" target="_blank">7(一)</一个>的随机路径<我>一个</我>⟶<我>b</我>⟶<我>c</我>⟶<我>d</我>⟶<我>e</我>、节点<我>c</我>叫的前身<我>d</我>,<我>d</我>的postnode<我>c。</我>节点<我>c</我>和节点<我>d</我>互为邻居节点。节点<我>d</我>和<我>h</我>是邻居彼此的通信范围,但因为没有路径两个节点之间的连接,他们不能被称为prenodes或postnodes:在随机路径<我>f</我>⟶<年代vg height="9.39034pt" id="M104" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>⟶<我>我</我>⟶<我>j</我>⟶<我>k</我>、节点<年代vg height="9.39034pt" id="M105" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>被称为节点的历史地位<年代vg height="9.39034pt" id="M106" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg><i>”</我>,可获得的路径<我>f</我>⟶<年代vg height="9.39034pt" id="M107" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>⟶<我>我</我>被称为历史路径可到达的路径<我>我</我>⟶<我>j</我>⟶<我>k</我>,并且可访问路径<我>我</我>⟶<我>j</我>⟶<我>k</我>被称为可及未来的道路<我>f</我>⟶<年代vg height="9.39034pt" id="M108" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>⟶<我>我</我>未来的道路。</年代p一个n></p> <h5 id="sec4.3">4.3。算法描述</h5> <p>基于分析的节点随机选择算法在移动网络(NRSAM)在传统的移动无线传感器网络中,本节提出了一个大学的数据收集算法(ELM)基于极限学习机的位置预测在移动无线传感器网络高效的数据收集算法在移动网络(EEDCM)和动态选择下一跳节点,这样最可以避免的路径可以达到相应的长度,从而实现数据收集的目的。</p> <p>如图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig8/" target="_blank">8</一个>首先,水槽节点随机选择<我>米</我>不同的节点<我>n</我>传感器网络的节点作为初始节点(图中阴影节点)通过自己的操作,然后将它们发送给选中的<我>米</我>节点通过广播并开始建设的随机路径。所示的过程的算法<一个href="//www.newsama.com/journals/complexity/2020/6467891/alg4/" target="_blank">4</一个>。</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="" name="6467891.fig.008" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.008.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图8</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/fig8/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 最初的无线传感器网络中节点选择。</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></td> <td><b>函数</b>:根据学习机器训练参数</td> </tr> <tr> <td></td> <td><b>输入</b>:隐藏节点的数量<年代p一个ncl一个年代年代="nowrap"> <svg height="8.68572pt" id="M109" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 7.31558 8.68572" width="7.31558pt" 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> </svg>,</年代p一个n>节点的历史轨迹向量<年代p一个ncl一个年代年代="nowrap"> <svg height="8.68572pt" id="M110" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 8.02022 8.68572" width="8.02022pt" 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="M584 650H137L131 622C214 614 217 612 200 521L125 127C109 41 101 35 23 28L17 0H288L294 28C201 35 193 42 209 128L242 309H348C440 309 442 300 443 226H471L510 422H482C452 354 449 348 357 348H251L295 575C302 609 304 615 338 615H426C502 615 517 604 526 581C534 560 536 524 537 492L565 494C574 554 583 631 584 650Z"></path> </g> </svg>,</年代p一个n>和节点的未来轨迹向量<年代p一个ncl一个年代年代="nowrap"> <svg height="9.01194pt" id="M111" style="vertical-align:-0.04981995pt" version="1.1" viewbox="-0.0498162 -8.96212 8.41168 9.01194" width="8.41168pt" 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="M620 675H597C578 656 570 650 541 650H144C112 650 104 653 94 675H72C59 618 42 552 23 493L53 491C71 534 88 564 105 585C124 608 144 615 238 615H290L197 121C182 40 174 34 88 28L82 0H361L367 28C275 34 266 38 281 121L374 615H441C522 615 543 608 553 583C562 560 566 531 565 493L597 494C603 551 612 629 620 675Z"></path> </g> </svg>。</年代p一个n></td> </tr> <tr> <td></td> <td><b>输出</b>:榆树三个参数<年代p一个ncl一个年代年代="nowrap"> <svg height="6.1673pt" id="M112" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 9.39034 6.1673" width="9.39034pt" 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="M689 332C689 394 670 448 646 448C620 448 597 421 597 396C597 386 600 381 608 372C619 359 620 334 620 315C620 150 538 45 454 45C414 45 386 67 386 122C386 138 388 158 394 180L457 426L452 432L377 416L315 156C302 100 259 45 216 45C176 45 148 67 148 122C148 133 152 158 156 180C162 212 173 259 194 332C201 357 206 384 206 405C206 430 198 448 174 448C125 448 66 406 23 342L43 319C84 368 110 383 121 383C126 383 128 382 128 377C128 370 127 359 122 343C99 268 84 204 77 156C74 137 70 111 70 104C70 25 125 -12 180 -12C228 -12 276 12 319 50C338 8 378 -12 418 -12C549 -12 689 166 689 332Z"></path> </g> </svg>,</年代p一个n><span class="nowrap"> <svg height="9.49473pt" id="M113" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 6.21949 9.49473" width="6.21949pt" 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"></path> </g> </svg>,</年代p一个n><span class="nowrap"> <svg height="12.7178pt" id="M114" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 7.68094 12.7178" width="7.68094pt" 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="M558 587C558 666 497 712 432 712C379 712 330 691 284 650C212 586 178 508 148 348L71 -65C49 -185 35 -229 23 -235L27 -261C49 -259 101 -251 124 -224C131 -216 138 -178 159 -24C171 66 197 200 227 356C264 550 295 668 393 668C443 668 479 632 479 575C479 516 446 458 383 418C361 404 344 398 318 397L296 350C395 338 460 281 460 192C460 110 411 40 300 40C258 40 215 55 192 69L181 51C191 18 222 -16 266 -16C308 -16 351 1 397 26C471 67 545 142 545 221C545 315 486 365 401 395C469 437 558 498 558 587Z"></path> </g> </svg>。</年代p一个n></td> </tr> <tr> <td></td> <td><b>算法描述</b>:</td> </tr> <tr> <td>(1)</td> <td>为<年代vg height="8.8423pt" id="M115" 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>来<年代vg height="8.68572pt" id="M116" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 7.31558 8.68572" width="7.31558pt" 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> </svg>做</td> </tr> <tr> <td>(2)</td> <td>随机生成隐层节点<年代p一个ncl一个年代年代="nowrap"> <svg height="9.25202pt" id="M117" style="vertical-align:-3.29111pt" version="1.1" viewbox="-0.0498162 -5.96091 12.1198 9.25202" width="12.1198pt" 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="M689 332C689 394 670 448 646 448C620 448 597 421 597 396C597 386 600 381 608 372C619 359 620 334 620 315C620 150 538 45 454 45C414 45 386 67 386 122C386 138 388 158 394 180L457 426L452 432L377 416L315 156C302 100 259 45 216 45C176 45 148 67 148 122C148 133 152 158 156 180C162 212 173 259 194 332C201 357 206 384 206 405C206 430 198 448 174 448C125 448 66 406 23 342L43 319C84 368 110 383 121 383C126 383 128 382 128 377C128 370 127 359 122 343C99 268 84 204 77 156C74 137 70 111 70 104C70 25 125 -12 180 -12C228 -12 276 12 319 50C338 8 378 -12 418 -12C549 -12 689 166 689 332Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.931,3.132)"> <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>,</年代p一个n><span class="nowrap"> <svg height="12.5794pt" id="M118" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 8.16602 12.5794" width="8.16602pt" 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"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,4.992,3.132)"> <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>,</年代p一个n><span class="nowrap"> <svg height="8.8423pt" id="M119" 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>,</年代p一个n>…,<年代vg height="8.68572pt" id="M120" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 7.31558 8.68572" width="7.31558pt" 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> </svg></td> </tr> <tr> <td>(3)</td> <td>计算隐层节点输出矩阵<年代vg height="8.68572pt" id="M121" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 11.0606 8.68572" width="11.0606pt" 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="M828 650H570L564 622C646 614 650 609 634 524L604 366H253L281 524C296 608 308 615 382 622L388 650H132L126 622C211 615 214 609 198 524L121 122C106 42 102 35 23 28L17 0H276L282 28C196 35 191 40 206 122L243 324H597L559 123C544 42 537 35 452 28L446 0H710L716 28C632 35 628 43 643 122L719 524C735 610 741 615 822 622L828 650Z"></path> </g> </svg>根据<年代p一个ncl一个年代年代="nowrap"> <svg height="8.68572pt" id="M122" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 8.02022 8.68572" width="8.02022pt" 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="M584 650H137L131 622C214 614 217 612 200 521L125 127C109 41 101 35 23 28L17 0H288L294 28C201 35 193 42 209 128L242 309H348C440 309 442 300 443 226H471L510 422H482C452 354 449 348 357 348H251L295 575C302 609 304 615 338 615H426C502 615 517 604 526 581C534 560 536 524 537 492L565 494C574 554 583 631 584 650Z"></path> </g> </svg>;</年代p一个n></td> </tr> <tr> <td>(4)</td> <td>计算<年代p一个ncl一个年代年代="nowrap"> <svg height="14.8655pt" id="M123" style="vertical-align:-3.4294pt" version="1.1" viewbox="-0.0498162 -11.4361 45.6728 14.8655" width="45.6728pt" 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="M558 587C558 666 497 712 432 712C379 712 330 691 284 650C212 586 178 508 148 348L71 -65C49 -185 35 -229 23 -235L27 -261C49 -259 101 -251 124 -224C131 -216 138 -178 159 -24C171 66 197 200 227 356C264 550 295 668 393 668C443 668 479 632 479 575C479 516 446 458 383 418C361 404 344 398 318 397L296 350C395 338 460 281 460 192C460 110 411 40 300 40C258 40 215 55 192 69L181 51C191 18 222 -16 266 -16C308 -16 351 1 397 26C471 67 545 142 545 221C545 315 486 365 401 395C469 437 558 498 558 587Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,11.186,0)"> <path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,22.449,0)"> <path d="M828 650H570L564 622C646 614 650 609 634 524L604 366H253L281 524C296 608 308 615 382 622L388 650H132L126 622C211 615 214 609 198 524L121 122C106 42 102 35 23 28L17 0H276L282 28C196 35 191 40 206 122L243 324H597L559 123C544 42 537 35 452 28L446 0H710L716 28C632 35 628 43 643 122L719 524C735 610 741 615 822 622L828 650Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,33.372,-5.741)"> <path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,37.168,0)"> <path d="M620 675H597C578 656 570 650 541 650H144C112 650 104 653 94 675H72C59 618 42 552 23 493L53 491C71 534 88 564 105 585C124 608 144 615 238 615H290L197 121C182 40 174 34 88 28L82 0H361L367 28C275 34 266 38 281 121L374 615H441C522 615 543 608 553 583C562 560 566 531 565 493L597 494C603 551 612 629 620 675Z"></path> </g> </svg>;</年代p一个n></td> </tr> <tr> <td>(5)</td> <td><返回<年代p一个ncl一个年代年代="nowrap"> <svg height="6.1673pt" id="M124" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 9.39034 6.1673" width="9.39034pt" 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="M689 332C689 394 670 448 646 448C620 448 597 421 597 396C597 386 600 381 608 372C619 359 620 334 620 315C620 150 538 45 454 45C414 45 386 67 386 122C386 138 388 158 394 180L457 426L452 432L377 416L315 156C302 100 259 45 216 45C176 45 148 67 148 122C148 133 152 158 156 180C162 212 173 259 194 332C201 357 206 384 206 405C206 430 198 448 174 448C125 448 66 406 23 342L43 319C84 368 110 383 121 383C126 383 128 382 128 377C128 370 127 359 122 343C99 268 84 204 77 156C74 137 70 111 70 104C70 25 125 -12 180 -12C228 -12 276 12 319 50C338 8 378 -12 418 -12C549 -12 689 166 689 332Z"></path> </g> </svg>,</年代p一个n><span class="nowrap"> <svg height="9.49473pt" id="M125" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 6.21949 9.49473" width="6.21949pt" 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"></path> </g> </svg>,</年代p一个n> <svg height="12.7178pt" id="M126" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 7.68094 12.7178" width="7.68094pt" 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="M558 587C558 666 497 712 432 712C379 712 330 691 284 650C212 586 178 508 148 348L71 -65C49 -185 35 -229 23 -235L27 -261C49 -259 101 -251 124 -224C131 -216 138 -178 159 -24C171 66 197 200 227 356C264 550 295 668 393 668C443 668 479 632 479 575C479 516 446 458 383 418C361 404 344 398 318 397L296 350C395 338 460 281 460 192C460 110 411 40 300 40C258 40 215 55 192 69L181 51C191 18 222 -16 266 -16C308 -16 351 1 397 26C471 67 545 142 545 221C545 315 486 365 401 395C469 437 558 498 558 587Z"></path> </g> </svg>>;</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</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/alg4/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 参数训练。</d我v> </div> </div> </div> <p>本部分首先分析了节点随机选择算法在传统的移动网络环境。节点随机算法在移动环境中所示的算法<一个href="//www.newsama.com/journals/complexity/2020/6467891/alg5/" target="_blank">5</一个>。的过程节点随机选择算法在移动网络如图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig9/" target="_blank">9</一个>,黑色箭头表示下一跳节点的数据采集节点。如图(一),网络节点的初始分布<年代p一个ncl一个年代年代="nowrap"> <svg height="10.9953pt" id="M127" style="vertical-align:-3.18148pt" version="1.1" viewbox="-0.0498162 -7.81382 28.8034 10.9953" width="28.8034pt" 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="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.065,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.328,0)"> <use xlink:href="#g113-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,23.696,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg>,</年代p一个n>节点<我>一个</我>是初始节点和它的邻居节点集{<我>b</我>,<我>d</我>,<年代p一个ncl一个年代年代="nowrap"> <svg height="9.39034pt" id="M128" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>,</年代p一个n><i>l</我>},然后节点<我>b</我>随机选择的路径。对于单节点,在时间<年代p一个ncl一个年代年代="nowrap"> <svg height="10.9953pt" id="M129" style="vertical-align:-3.18148pt" version="1.1" viewbox="-0.0498162 -7.81382 28.8034 10.9953" width="28.8034pt" 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="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.065,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.328,0)"> <use xlink:href="#g113-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,23.696,3.132)"> <use xlink:href="#g50-51"></use> </g> </svg>,</年代p一个n>节点位置的变化,和邻居节点的节点集<我>b</我>是{<我>一个</我>,<我>d</我>,<我>p</我>,<我>l</我>,<我>o</我>},然后节点<我>p</我>是随机选择下一跳节点。在时间<年代p一个ncl一个年代年代="nowrap"> <svg height="11.1049pt" id="M130" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.81382 28.8034 11.1049" width="28.8034pt" 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="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.065,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.328,0)"> <use xlink:href="#g113-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,23.696,3.132)"> <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> </svg>,</年代p一个n>节点的位置<年代vg height="9.39034pt" id="M131" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>和<我>问</我>和其他节点,节点的邻居节点的集合<我>p</我>是{<我>b</我>},节点<我>b</我>已经访问过,不能重复选择。因此,节点<我>P</我>不能选择下一跳节点随机选择,导致随机旅行。不能满足最小长度的路径要求和施工失败。在时间<年代p一个ncl一个年代年代="nowrap"> <svg height="10.9953pt" id="M132" style="vertical-align:-3.18148pt" version="1.1" viewbox="-0.0498162 -7.81382 28.8034 10.9953" width="28.8034pt" 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="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.065,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.328,0)"> <use xlink:href="#g113-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,23.696,3.132)"> <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>,</年代p一个n>节点的位置变化,节点<我>P</我>选择邻居节点<年代vg height="9.39034pt" id="M133" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.52435 9.39034" width="7.52435pt" 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="#g113-104"></use> </g> </svg>作为下一跳节点。</p> <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></td> <td><b>函数</b>:在传感器网络节点位置的预测。</td> </tr> <tr> <td></td> <td><b>输入</b>:传感器节点的数量<年代p一个ncl一个年代年代="nowrap"> <svg height="8.8423pt" id="M134" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 11.0475 8.8423" width="11.0475pt" 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="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> </svg>,</年代p一个n>隐层节点的数量<年代p一个ncl一个年代年代="nowrap"> <svg height="8.68572pt" id="M135" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 7.31558 8.68572" width="7.31558pt" 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> </svg>,</年代p一个n>节点的历史轨迹向量<年代p一个ncl一个年代年代="nowrap"> <svg height="8.68572pt" id="M136" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 8.02022 8.68572" width="8.02022pt" 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="M584 650H137L131 622C214 614 217 612 200 521L125 127C109 41 101 35 23 28L17 0H288L294 28C201 35 193 42 209 128L242 309H348C440 309 442 300 443 226H471L510 422H482C452 354 449 348 357 348H251L295 575C302 609 304 615 338 615H426C502 615 517 604 526 581C534 560 536 524 537 492L565 494C574 554 583 631 584 650Z"></path> </g> </svg>,</年代p一个n>节点参数<年代p一个ncl一个年代年代="nowrap"> <svg height="6.1673pt" id="M137" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 9.39034 6.1673" width="9.39034pt" 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="M689 332C689 394 670 448 646 448C620 448 597 421 597 396C597 386 600 381 608 372C619 359 620 334 620 315C620 150 538 45 454 45C414 45 386 67 386 122C386 138 388 158 394 180L457 426L452 432L377 416L315 156C302 100 259 45 216 45C176 45 148 67 148 122C148 133 152 158 156 180C162 212 173 259 194 332C201 357 206 384 206 405C206 430 198 448 174 448C125 448 66 406 23 342L43 319C84 368 110 383 121 383C126 383 128 382 128 377C128 370 127 359 122 343C99 268 84 204 77 156C74 137 70 111 70 104C70 25 125 -12 180 -12C228 -12 276 12 319 50C338 8 378 -12 418 -12C549 -12 689 166 689 332Z"></path> </g> </svg>,</年代p一个n><span class="nowrap"> <svg height="9.49473pt" id="M138" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 6.21949 9.49473" width="6.21949pt" 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"></path> </g> </svg>,</年代p一个n> <svg height="12.7178pt" id="M139" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 7.68094 12.7178" width="7.68094pt" 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="M558 587C558 666 497 712 432 712C379 712 330 691 284 650C212 586 178 508 148 348L71 -65C49 -185 35 -229 23 -235L27 -261C49 -259 101 -251 124 -224C131 -216 138 -178 159 -24C171 66 197 200 227 356C264 550 295 668 393 668C443 668 479 632 479 575C479 516 446 458 383 418C361 404 344 398 318 397L296 350C395 338 460 281 460 192C460 110 411 40 300 40C258 40 215 55 192 69L181 51C191 18 222 -16 266 -16C308 -16 351 1 397 26C471 67 545 142 545 221C545 315 486 365 401 395C469 437 558 498 558 587Z"></path> </g> </svg></td> </tr> <tr> <td></td> <td><b>输出</b>:测试结果<年代vg height="8.8423pt" id="M140" 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)"> <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> </svg></td> </tr> <tr> <td></td> <td><b>算法描述</b>:</td> </tr> <tr> <td>(1)</td> <td>计算隐层输出矩阵<年代vg height="8.68572pt" id="M141" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 11.0606 8.68572" width="11.0606pt" 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="M828 650H570L564 622C646 614 650 609 634 524L604 366H253L281 524C296 608 308 615 382 622L388 650H132L126 622C211 615 214 609 198 524L121 122C106 42 102 35 23 28L17 0H276L282 28C196 35 191 40 206 122L243 324H597L559 123C544 42 537 35 452 28L446 0H710L716 28C632 35 628 43 643 122L719 524C735 610 741 615 822 622L828 650Z"></path> </g> </svg>通过<年代p一个ncl一个年代年代="nowrap"> <svg height="8.68572pt" id="M142" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 8.02022 8.68572" width="8.02022pt" 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="M584 650H137L131 622C214 614 217 612 200 521L125 127C109 41 101 35 23 28L17 0H288L294 28C201 35 193 42 209 128L242 309H348C440 309 442 300 443 226H471L510 422H482C452 354 449 348 357 348H251L295 575C302 609 304 615 338 615H426C502 615 517 604 526 581C534 560 536 524 537 492L565 494C574 554 583 631 584 650Z"></path> </g> </svg>,</年代p一个n><span class="nowrap"> <svg height="6.1673pt" id="M143" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 9.39034 6.1673" width="9.39034pt" 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="M689 332C689 394 670 448 646 448C620 448 597 421 597 396C597 386 600 381 608 372C619 359 620 334 620 315C620 150 538 45 454 45C414 45 386 67 386 122C386 138 388 158 394 180L457 426L452 432L377 416L315 156C302 100 259 45 216 45C176 45 148 67 148 122C148 133 152 158 156 180C162 212 173 259 194 332C201 357 206 384 206 405C206 430 198 448 174 448C125 448 66 406 23 342L43 319C84 368 110 383 121 383C126 383 128 382 128 377C128 370 127 359 122 343C99 268 84 204 77 156C74 137 70 111 70 104C70 25 125 -12 180 -12C228 -12 276 12 319 50C338 8 378 -12 418 -12C549 -12 689 166 689 332Z"></path> </g> </svg>,</年代p一个n> <svg height="9.49473pt" id="M144" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 6.21949 9.49473" width="6.21949pt" 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"></path> </g> </svg></td> </tr> <tr> <td>(2)</td> <td>获取测试结果<年代vg height="12.7178pt" id="M145" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 53.1948 12.7178" width="53.1948pt" 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"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.768,0)"> <path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,21.031,0)"> <path d="M828 650H570L564 622C646 614 650 609 634 524L604 366H253L281 524C296 608 308 615 382 622L388 650H132L126 622C211 615 214 609 198 524L121 122C106 42 102 35 23 28L17 0H276L282 28C196 35 191 40 206 122L243 324H597L559 123C544 42 537 35 452 28L446 0H710L716 28C632 35 628 43 643 122L719 524C735 610 741 615 822 622L828 650Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,34.86,0)"> <path d="M471 153C471 170 463 194 452 212C400 220 373 229 322 255C373 281 400 290 452 298C463 316 471 339 471 357C456 366 431 371 410 370C377 329 356 310 308 279C311 336 317 364 336 413C326 432 310 451 294 459C279 451 262 432 252 413C271 364 277 336 280 279C232 310 211 329 178 370C157 371 132 367 117 357C117 340 125 316 136 298C188 290 215 281 266 255C215 229 188 220 136 212C125 194 117 171 117 153C132 144 157 139 178 140C211 181 232 200 280 231C277 174 271 146 252 97C262 78 278 59 294 51C309 59 326 78 336 97C317 146 311 174 308 231C356 200 377 181 410 140C431 139 456 143 471 153Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,45.396,0)"> <path d="M558 587C558 666 497 712 432 712C379 712 330 691 284 650C212 586 178 508 148 348L71 -65C49 -185 35 -229 23 -235L27 -261C49 -259 101 -251 124 -224C131 -216 138 -178 159 -24C171 66 197 200 227 356C264 550 295 668 393 668C443 668 479 632 479 575C479 516 446 458 383 418C361 404 344 398 318 397L296 350C395 338 460 281 460 192C460 110 411 40 300 40C258 40 215 55 192 69L181 51C191 18 222 -16 266 -16C308 -16 351 1 397 26C471 67 545 142 545 221C545 315 486 365 401 395C469 437 558 498 558 587Z"></path> </g> </svg></td> </tr> <tr> <td>(3)</td> <td>返回<年代p一个ncl一个年代年代="nowrap"> <svg height="8.8423pt" id="M146" 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)"> <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> </svg>;</年代p一个n></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</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/alg5/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 检测功能。</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)" name="6467891.fig.009a" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.009a.svgz"> <br> <strong>(一)</年代trong> </div> <div class="partial-carousel--single-image"> <img alt="(b)" name="6467891.fig.009b" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.009b.svgz"> <br> <strong>(b)</年代trong> </div> <div class="partial-carousel--single-image"> <img alt="(c)" name="6467891.fig.009c" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.009c.svgz"> <br> <strong>(c)</年代trong> </div> <div class="partial-carousel--single-image"> <img alt="(d)" name="6467891.fig.009d" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.009d.svgz"> <br> <strong>(d)</年代trong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig9"> <button class="partial-carousel-dot" aria-label="(a)"><img alt="(一)" name="6467891.fig.009a" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.009a.svgz"><br><strong>(一)</年代trong></button> <button class="partial-carousel-dot" aria-label="(b)"><img alt="(b)" name="6467891.fig.009b" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.009b.svgz"><br><strong>(b)</年代trong></button> <button class="partial-carousel-dot" aria-label="(c)"><img alt="(c)" name="6467891.fig.009c" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.009c.svgz"><br><strong>(c)</年代trong></button> <button class="partial-carousel-dot" aria-label="(d)"><img alt="(d)" name="6467891.fig.009d" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.009d.svgz"><br><strong>(d)</年代trong></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</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/fig9/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 在移动网络节点随机选择算法示例。(一)<我>t</我>=<我>t</我> <sub>1</年代ub>,(b)<我>t</我>=<我>t</我> <sub>2</年代ub>,(c)<我>t</我>=<我>t</我> <sub>3</年代ub>,(d)<我>t</我>=<我>t</我> <sub>4</年代ub>。</d我v> </div> </div> </div> <p>在传统的随机路径数据收集过程中,节点的位置变化由于移动网络环境的变化和随机路径建设失败。因此,本节提出了一种高效的基于榆树位置预测的数据收集算法在移动网络。在当前节点的情况下,网络节点预测和选择适当的值来选择下一跳节点,确保施工的随机路径的长度。</p> <p>在节点选择过程的随机路径,榆树是用来预测传感器网络中的每个节点的位置。首先,每个节点的历史轨迹是发送到汇聚节点,节点是根据节点的轨迹参数训练。参数后,他们被发送到网络中的节点通过水槽广播,然后,根据训练参数,网络中的节点可以获得预测的轨迹。</p> <p>榆树训练参数的算法算法所示<一个href="//www.newsama.com/journals/complexity/2020/6467891/alg4/" target="_blank">4</一个>。首先,历史轨迹向量<我>F</我>和未来轨迹向量<我>T</我>的节点和隐层节点的数量<我>l</我>在动态环境中。隐层节点参数<年代vg height="9.25202pt" id="M147" style="vertical-align:-3.29111pt" version="1.1" viewbox="-0.0498162 -5.96091 12.1198 9.25202" width="12.1198pt" 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="M689 332C689 394 670 448 646 448C620 448 597 421 597 396C597 386 600 381 608 372C619 359 620 334 620 315C620 150 538 45 454 45C414 45 386 67 386 122C386 138 388 158 394 180L457 426L452 432L377 416L315 156C302 100 259 45 216 45C176 45 148 67 148 122C148 133 152 158 156 180C162 212 173 259 194 332C201 357 206 384 206 405C206 430 198 448 174 448C125 448 66 406 23 342L43 319C84 368 110 383 121 383C126 383 128 382 128 377C128 370 127 359 122 343C99 268 84 204 77 156C74 137 70 111 70 104C70 25 125 -12 180 -12C228 -12 276 12 319 50C338 8 378 -12 418 -12C549 -12 689 166 689 332Z" id="g113-120"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.931,3.132)"> <use xlink:href="#g50-106"></use> </g> </svg>和<年代vg height="12.5794pt" id="M148" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 8.16602 12.5794" width="8.16602pt" 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(.0091,0,0,-0.0091,4.992,3.132)"> <use xlink:href="#g50-106"></use> </g> </svg>(1 - 2行)。然后计算隐层节点输出矩阵<我>H</我>根据F(第3行),然后计算参数<年代vg height="12.7178pt" id="M149" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 7.68094 12.7178" width="7.68094pt" 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="M558 587C558 666 497 712 432 712C379 712 330 691 284 650C212 586 178 508 148 348L71 -65C49 -185 35 -229 23 -235L27 -261C49 -259 101 -251 124 -224C131 -216 138 -178 159 -24C171 66 197 200 227 356C264 550 295 668 393 668C443 668 479 632 479 575C479 516 446 458 383 418C361 404 344 398 318 397L296 350C395 338 460 281 460 192C460 110 411 40 300 40C258 40 215 55 192 69L181 51C191 18 222 -16 266 -16C308 -16 351 1 397 26C471 67 545 142 545 221C545 315 486 365 401 395C469 437 558 498 558 587Z" id="g113-224"></path> </g> </svg>根据公式(4)行<年代p一个ncl一个年代年代="nowrap"> <svg height="14.8655pt" id="M150" style="vertical-align:-3.4294pt" version="1.1" viewbox="-0.0498162 -11.4361 45.6728 14.8655" width="45.6728pt" 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="#g113-224"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.186,0)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,22.449,0)"> <path d="M828 650H570L564 622C646 614 650 609 634 524L604 366H253L281 524C296 608 308 615 382 622L388 650H132L126 622C211 615 214 609 198 524L121 122C106 42 102 35 23 28L17 0H276L282 28C196 35 191 40 206 122L243 324H597L559 123C544 42 537 35 452 28L446 0H710L716 28C632 35 628 43 643 122L719 524C735 610 741 615 822 622L828 650Z" id="g113-73"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,33.372,-5.741)"> <path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z" id="g50-31"></path> </g> <g transform="matrix(.013,0,0,-0.013,37.168,0)"> <path d="M620 675H597C578 656 570 650 541 650H144C112 650 104 653 94 675H72C59 618 42 552 23 493L53 491C71 534 88 564 105 585C124 608 144 615 238 615H290L197 121C182 40 174 34 88 28L82 0H361L367 28C275 34 266 38 281 121L374 615H441C522 615 543 608 553 583C562 560 566 531 565 493L597 494C603 551 612 629 620 675Z" id="g113-85"></path> </g> </svg>。</年代p一个n>最后,返回的参数。</p> <p>训练后参数的极端的学习机器,它可以预测未来无线传感器网络中的每个节点的位置,如算法所示<一个href="//www.newsama.com/journals/complexity/2020/6467891/alg5/" target="_blank">5</一个>。首先,使用节点的历史轨迹<我>F</我>和训练节点参数计算隐层输出矩阵<我>H</我>(1号线)(<一个href="#EEq1">1</一个>);然后使用<年代vg height="12.7178pt" id="M151" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 53.1948 12.7178" width="53.1948pt" 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)"> <use xlink:href="#g117-34"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.031,0)"> <use xlink:href="#g113-73"></use> </g> <g transform="matrix(.013,0,0,-0.013,34.86,0)"> <path d="M471 153C471 170 463 194 452 212C400 220 373 229 322 255C373 281 400 290 452 298C463 316 471 339 471 357C456 366 431 371 410 370C377 329 356 310 308 279C311 336 317 364 336 413C326 432 310 451 294 459C279 451 262 432 252 413C271 364 277 336 280 279C232 310 211 329 178 370C157 371 132 367 117 357C117 340 125 316 136 298C188 290 215 281 266 255C215 229 188 220 136 212C125 194 117 171 117 153C132 144 157 139 178 140C211 181 232 200 280 231C277 174 271 146 252 97C262 78 278 59 294 51C309 59 326 78 336 97C317 146 311 174 308 231C356 200 377 181 410 140C431 139 456 143 471 153Z" id="g113-43"></path> </g> <g transform="matrix(.013,0,0,-0.013,45.396,0)"> <use xlink:href="#g113-224"></use> </g> </svg>获得检测结果(2)行如方程所示(<一个href="#EEq1">2</一个>),并返回预测结果(第3行):<年代p一个ncl一个年代年代="equation_break" id="EEq1"><span class="left_break" id="L152"></span><span class="middle_break"><span class="center_break" id="M152"> <svg height="77.7808pt" id="M152-1" version="1.1" viewbox="0 0 214.275 77.7808" width="214.275pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g id="B152-1"> <g transform="matrix(.013,0,0,-0.013,0,29.514)"> <use xlink:href="#g113-73"></use> </g> <g transform="matrix(.013,0,0,-0.013,13.1,29.514)"> <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,-0.013,18.12,29.514)"> <path d="M962 650H739L732 622L760 619C812 613 819 604 798 552C760 457 671 267 606 131H604L511 638H480L237 131H233L183 554C177 607 183 614 226 619L248 622L257 650H24L17 622C88 615 92 611 103 524L173 -11H203L450 491H453L543 -11H575L839 529C882 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transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g185-40"></use> </g> </svg>,</年代p一个n>当前节点的预测位置(1号线)是极端的学习机器获得的预测函数<年代vg height="12.7178pt" id="M154" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 99.7528 12.7178" width="99.7528pt" 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="#g113-104"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.398,0)"> <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" id="g113-102"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.78,0)"> <use xlink:href="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,17.083,0)"> <path d="M593 650H142L136 622C219 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355 280Z" id="g113-112"></path> </g> <g transform="matrix(.013,0,0,-0.013,57.7,0)"> <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" id="g113-100"></path> </g> <g transform="matrix(.013,0,0,-0.013,62.982,0)"> <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(.013,0,0,-0.013,69.562,0)"> <use xlink:href="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,74.126,0)"> <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,-0.013,77.675,0)"> <use xlink:href="#g113-112"></use> </g> <g transform="matrix(.013,0,0,-0.013,83.76,0)"> <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> <g transform="matrix(.013,0,0,-0.013,90.286,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,94.784,0)"> <use xlink:href="#g113-42"></use> </g> </svg>所示()和预测过程的算法<一个href="//www.newsama.com/journals/complexity/2020/6467891/alg5/" target="_blank">5</一个>。然后执行榆树节点位置预测无线传感器网络中的其他节点,添加新的预测节点到节点的位置<年代vg height="12.0653pt" id="M155" style="vertical-align:-3.4294pt" version="1.1" viewbox="-0.0498162 -8.6359 38.0193 12.0653" width="38.0193pt" 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="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.433,0)"> <use xlink:href="#g113-102"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.815,0)"> <path d="M766 88L752 113C719 83 690 64 681 64C674 64 672 74 679 103L724 292C758 436 724 448 701 448C680 448 666 442 639 429C594 407 514 350 441 252H439L447 289C476 423 450 448 419 448C398 448 379 441 355 427C307 400 234 344 162 249H160L180 324C203 409 197 448 170 448C144 448 82 413 23 349L35 321C57 343 96 374 108 374C115 374 117 371 111 341C87 227 57 112 24 -6L32 -12C53 -4 81 4 108 6C119 68 134 128 149 171C177 229 309 383 364 383C387 383 388 355 373 282C354 190 330 92 303 -6L309 -12C332 -4 356 3 386 6C396 63 411 122 424 171C458 236 590 383 642 383C658 383 664 369 652 315L603 91C587 20 593 -12 619 -12C642 -12 708 23 766 88Z" id="g113-110"></path> </g> <g transform="matrix(.013,0,0,-0.013,19.29,0)"> <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" id="g113-113"></path> </g> <g transform="matrix(.013,0,0,-0.013,26.87,0)"> <use xlink:href="#g113-79"></use> </g> </svg>(34)行,获得节点<年代vg height="6.04987pt" id="M156" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>被选中的节点位置预测集<年代p一个ncl一个年代年代="nowrap"> <svg height="12.0653pt" id="M157" style="vertical-align:-3.4294pt" version="1.1" viewbox="-0.0498162 -8.6359 38.0193 12.0653" width="38.0193pt" 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="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.433,0)"> <use xlink:href="#g113-102"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.815,0)"> <use xlink:href="#g113-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.29,0)"> <use xlink:href="#g113-113"></use> </g> <g transform="matrix(.013,0,0,-0.013,26.87,0)"> <use xlink:href="#g113-79"></use> </g> </svg>。</年代p一个n></p> <div class="floats-partial-section partial-other-wrapper" data-section="alg6"> <div class="floats-partial-content fig-content-alg6"> <table class="algorithm-group"> <tbody> <tr> <td> <table class="algorithm" id="alg6"> <tbody> <tr> <td></td> <td><b>函数</b>:选择下一跳节点的随机路径移动网络环境中</td> </tr> <tr> <td></td> <td><b>输入</b>:当前节点<年代vg height="6.04987pt" id="M158" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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> </svg>在随机路径,节点集<年代vg height="8.8423pt" id="M159" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 11.0475 8.8423" width="11.0475pt" 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="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> </svg></td> </tr> <tr> <td></td> <td><b>输出</b>:下一跳<年代vg height="6.1673pt" id="M160" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 7.11985 6.1673" width="7.11985pt" 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="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> </svg>的随机路径</td> </tr> <tr> <td></td> <td><b>算法描述</b>:</td> </tr> <tr> <td>(1)</td> <td> <svg height="14.8655pt" id="M161" style="vertical-align:-3.4294pt" version="1.1" viewbox="-0.0498162 -11.4361 133.217 14.8655" width="133.217pt" 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,-0.0091,5.863,-5.741)"> <path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,13.291,0)"> <path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,24.554,0)"> <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,-0.013,30.417,0)"> <path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 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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,-0.013,46.161,0)"> <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,-0.013,50.464,0)"> <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,-0.013,58.081,0)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 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437 189 418C96 376 23 279 23 151C23 65 66 -12 169 -12C233 -12 294 18 337 53C411 113 445 201 445 282ZM355 280C355 161 302 62 243 36C231 31 219 30 207 30C147 30 111 78 111 154C111 302 180 380 220 399C231 404 246 407 264 407C311 407 355 367 355 280Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,91.081,0)"> <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(.013,0,0,-0.013,96.363,0)"> <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 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201 445 282ZM355 280C355 161 302 62 243 36C231 31 219 30 207 30C147 30 111 78 111 154C111 302 180 380 220 399C231 404 246 407 264 407C311 407 355 367 355 280Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,117.14,0)"> <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,-0.013,123.667,0)"> <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,-0.013,128.165,0)"> <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>();/ /得到预测当前节点的位置<年代vg height="11.6686pt" id="M162" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -11.4361 9.78014 11.6686" width="9.78014pt" 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,-0.0091,5.863,-5.741)"> <path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z"></path> </g> </svg>在榆树</td> </tr> <tr> <td>(2)</td> <td><b>foreach</b>节点<我>n</我>在N</td> </tr> <tr> <td>(3)</td> <td> <svg height="14.8655pt" id="M163" style="vertical-align:-3.4294pt" 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217 398C227 404 244 405 261 405C290 405 313 385 313 350Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,81.009,0)"> <path d="M368 703H309L44 -163H104L368 703Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,86.37,0)"> <path d="M238 681C243 705 239 712 230 712C217 712 156 682 75 674L70 648H105C148 648 153 641 144 598L39 110C18 11 35 -12 55 -12C90 -12 166 36 221 103L205 125C174 93 130 65 118 65C112 65 108 68 114 96L238 681Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,89.868,0)"> <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,-0.013,95.25,0)"> <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,-0.013,101.255,0)"> <path d="M546 430L539 434C529 434 505 438 495 440C473 444 450 448 430 448C352 448 265 412 213 366C145 306 96 203 96 103C96 22 135 -12 160 -12C190 -12 238 14 262 32C310 68 368 120 411 184H413C403 117 396 75 384 21C353 -118 325 -158 291 -184C270 -200 241 -205 208 -205C133 -205 90 -164 74 -110C70 -98 58 -100 49 -107C34 -119 23 -140 23 -155C23 -190 74 -261 166 -261C219 -261 280 -233 314 -208C383 -157 446 -79 470 81C491 223 529 388 546 430ZM456 386C452 357 433 283 420 252C402 216 366 174 325 129C288 88 239 56 212 56C192 56 182 77 182 120C182 165 199 242 226 292C256 348 281 377 311 389C327 395 353 402 375 402C408 402 436 394 456 386Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,108.653,0)"> <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,-0.013,113.217,0)"> <path d="M499 88L487 113C459 86 422 65 413 65C403 65 403 74 409 98L461 318C487 426 460 448 431 448C408 448 383 441 352 424C305 398 223 344 157 257H155L243 674C249 702 249 712 240 712C227 712 170 680 87 673L82 648H117C155 648 162 644 150 590L23 -4L30 -12C55 -4 81 3 105 8C113 53 131 150 143 187C199 281 323 387 372 387C390 387 393 369 380 311L328 86C313 19 319 -12 347 -12C379 -12 442 24 499 88Z"></path> </g> </svg>;</年代p一个n></td> </tr> <tr> <td>(16)</td> <td><b>foreach节点</b> <svg height="9.49473pt" id="M175" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 6.66314 9.49473" width="6.66314pt" 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> </svg><b>在</b> <svg height="8.8423pt" id="M176" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 22.8436 8.8423" width="22.8436pt" 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"></path> </g> <g transform="matrix(.013,0,0,-0.013,5.875,0)"> <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,-0.013,16.524,0)"> <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 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239 56 212 56C192 56 182 77 182 120C182 165 199 242 226 292C256 348 281 377 311 389C327 395 353 402 375 402C408 402 436 394 456 386Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,7.398,0)"> <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,-0.013,12.78,0)"> <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,-0.013,17.083,0)"> <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 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313 385 313 350Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,36.889,0)"> <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,-0.013,41.322,0)"> <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,-0.013,45.82,0)"> <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 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transform="matrix(.013,0,0,-0.013,129.591,0)"> <path d="M499 88L487 113C459 86 422 65 413 65C403 65 403 74 409 98L461 318C487 426 460 448 431 448C408 448 383 441 352 424C305 398 223 344 157 257H155L243 674C249 702 249 712 240 712C227 712 170 680 87 673L82 648H117C155 648 162 644 150 590L23 -4L30 -12C55 -4 81 3 105 8C113 53 131 150 143 187C199 281 323 387 372 387C390 387 393 369 380 311L328 86C313 19 319 -12 347 -12C379 -12 442 24 499 88Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,139.931,0)"> <path d="M531 285V335L57 550V494L473 310L57 127V71L531 285ZM531 -40V10H57V-40H531Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,151.194,0)"> <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 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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"></path> </g> <g transform="matrix(.013,0,0,-0.013,174.508,0)"> <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"></path> </g> <g transform="matrix(.013,0,0,-0.013,180.566,0)"> <path d="M546 430L539 434C529 434 505 438 495 440C473 444 450 448 430 448C352 448 265 412 213 366C145 306 96 203 96 103C96 22 135 -12 160 -12C190 -12 238 14 262 32C310 68 368 120 411 184H413C403 117 396 75 384 21C353 -118 325 -158 291 -184C270 -200 241 -205 208 -205C133 -205 90 -164 74 -110C70 -98 58 -100 49 -107C34 -119 23 -140 23 -155C23 -190 74 -261 166 -261C219 -261 280 -233 314 -208C383 -157 446 -79 470 81C491 223 529 388 546 430ZM456 386C452 357 433 283 420 252C402 216 366 174 325 129C288 88 239 56 212 56C192 56 182 77 182 120C182 165 199 242 226 292C256 348 281 377 311 389C327 395 353 402 375 402C408 402 436 394 456 386Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,187.964,0)"> <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> </svg><b>然后</b></td> </tr> <tr> <td>(18)</td> <td><span class="nowrap"> <svg height="12.7178pt" id="M178" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 89.6009 12.7178" width="89.6009pt" 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,-0.013,4.433,0)"> <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,-0.013,9.815,0)"> <path d="M766 88L752 113C719 83 690 64 681 64C674 64 672 74 679 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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,-0.013,27,0)"> <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,-0.013,32.875,0)"> <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,-0.013,43.524,0)"> <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,-0.013,49.661,0)"> <path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,52.625,0)"> <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"></path> </g> <g transform="matrix(.013,0,0,-0.013,59.205,0)"> <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(.013,0,0,-0.013,66.42,0)"> <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(.013,0,0,-0.013,73.635,0)"> <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,-0.013,78.133,0)"> <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,-0.013,84.673,0)"> <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>;</年代p一个n></td> </tr> <tr> <td>(19)</td> <td><b>如果</b></td> </tr> <tr> <td>(20)</td> <td><b>foreach结束</b></td> </tr> <tr> <td>(21)</td> <td><span class="nowrap"> <svg height="12.7178pt" id="M179" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 139.217 12.7178" width="139.217pt" 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="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="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,21.889,0)"> <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"></path> </g> <g transform="matrix(.013,0,0,-0.013,27.377,0)"> <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"></path> </g> <g transform="matrix(.013,0,0,-0.013,33.957,0)"> <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,-0.013,40.484,0)"> <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(.013,0,0,-0.013,47.699,0)"> <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,-0.013,56.01,0)"> <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,-0.013,61.393,0)"> <path d="M238 681C243 705 239 712 230 712C217 712 156 682 75 674L70 648H105C148 648 153 641 144 598L39 110C18 11 35 -12 55 -12C90 -12 166 36 221 103L205 125C174 93 130 65 118 65C112 65 108 68 114 96L238 681Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,64.891,0)"> <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,-0.013,70.273,0)"> <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 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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,-0.013,94.302,0)"> <path d="M766 88L752 113C719 83 690 64 681 64C674 64 672 74 679 103L724 292C758 436 724 448 701 448C680 448 666 442 639 429C594 407 514 350 441 252H439L447 289C476 423 450 448 419 448C398 448 379 441 355 427C307 400 234 344 162 249H160L180 324C203 409 197 448 170 448C144 448 82 413 23 349L35 321C57 343 96 374 108 374C115 374 117 371 111 341C87 227 57 112 24 -6L32 -12C53 -4 81 4 108 6C119 68 134 128 149 171C177 229 309 383 364 383C387 383 388 355 373 282C354 190 330 92 303 -6L309 -12C332 -4 356 3 386 6C396 63 411 122 424 171C458 236 590 383 642 383C658 383 664 369 652 315L603 91C587 20 593 -12 619 -12C642 -12 708 23 766 88Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,103.776,0)"> <path d="M570 304C570 398 525 448 414 448C385 448 343 445 312 434L329 511L321 518C297 504 262 482 244 460L233 411C195 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<tr> <td>(22)</td> <td><b>而</b> <svg height="6.1673pt" id="M182" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 7.11985 6.1673" width="7.11985pt" 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="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> </svg><b>存在于路线或</b> <svg height="11.5564pt" id="M183" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 55.8002 11.5564" width="55.8002pt" 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="M610 18C585 26 567 34 540 68C517 97 499 128 476 171C452 215 425 276 413 304C496 332 570 394 570 494C570 555 545 595 509 619S419 650 364 650H139L133 622C216 615 219 612 203 527L129 132C112 40 105 36 23 28L17 0H279L285 28C199 34 194 40 211 132L239 284H284C320 284 334 275 351 236C374 182 394 140 420 93C459 23 495 -1 592 -8H600L610 18ZM480 485C480 424 449 372 403 342C374 323 338 316 293 316H245L291 562C296 589 301 601 311 608S337 618 358 618C432 618 480 575 480 485Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.151,0)"> <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,-0.013,12.649,0)"> <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,-0.013,18.512,0)"> <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,-0.013,23.656,0)"> <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,-0.013,30.65,0)"> <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> <g transform="matrix(.013,0,0,-0.013,38.78,0)"> <path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,50.042,0)"> <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"></path> </g> </svg><b>做</b></td> </tr> <tr> <td>(23)</td> <td><span class="nowrap"> <svg height="12.7178pt" id="M184" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 137.303 12.7178" width="137.303pt" 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="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="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,21.889,0)"> <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"></path> </g> <g transform="matrix(.013,0,0,-0.013,27.377,0)"> <path d="M483 97L471 123C436 91 401 65 392 65C388 65 384 74 390 106C414 239 444 378 457 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450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path> </g> </svg>;</年代p一个n></td> </tr> <tr> <td>(24)</td> <td><b>结束时</b></td> </tr> <tr> <td>(25)</td> <td><span class="nowrap"> <svg height="12.5977pt" id="M185" style="vertical-align:-3.30937pt" version="1.1" viewbox="-0.0498162 -9.28833 145.784 12.5977" width="145.784pt" 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="M536 404C536 423 520 448 491 448C445 448 398 404 308 283L286 338C255 416 242 448 217 448C182 448 138 402 92 341L111 321C149 368 169 378 178 378C188 378 198 363 214 320L254 212C185 117 138 65 107 65C98 65 85 69 82 75C79 82 73 86 65 86C44 86 23 60 23 39C23 7 44 -12 71 -12C119 -12 168 33 265 177L306 61C321 17 347 -12 373 -12C413 -12 465 33 507 96L491 119C459 84 432 60 413 60C395 60 378 92 358 148L321 250C341 279 369 310 389 332C417 363 439 382 456 382C466 382 475 376 481 368C486 361 492 358 496 358C513 358 536 381 536 404Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,7.202,3.132)"> <path d="M528 97L513 125C484 95 440 68 431 68C425 68 421 76 427 107C449 227 476 342 505 451H495L418 424L385 278C338 191 220 62 157 62C145 62 133 76 145 130L200 368C215 434 210 451 183 451C157 451 92 418 24 352L37 324C78 356 106 377 115 377C123 377 122 364 116 340L64 115C58 89 56 68 56 52C56 2 78 -12 103 -12C127 -12 159 -4 190 18C247 59 309 113 366 187H368L351 108C328 1 348 -12 368 -12C403 -12 472 33 528 97Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,12.742,0)"> <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,-0.013,17.24,0)"> <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,-0.013,21.673,0)"> <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> <g transform="matrix(.013,0,0,-0.013,29.803,0)"> <path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,41.066,0)"> <path d="M536 404C536 423 520 448 491 448C445 448 398 404 308 283L286 338C255 416 242 448 217 448C182 448 138 402 92 341L111 321C149 368 169 378 178 378C188 378 198 363 214 320L254 212C185 117 138 65 107 65C98 65 85 69 82 75C79 82 73 86 65 86C44 86 23 60 23 39C23 7 44 -12 71 -12C119 -12 168 33 265 177L306 61C321 17 347 -12 373 -12C413 -12 465 33 507 96L491 119C459 84 432 60 413 60C395 60 378 92 358 148L321 250C341 279 369 310 389 332C417 363 439 382 456 382C466 382 475 376 481 368C486 361 492 358 496 358C513 358 536 381 536 404Z"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,48.268,3.132)"> <path d="M219 86C216 168 211 250 206 337C201 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230V280H52V230H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,134.554,0)"> <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,-0.013,140.794,0)"> <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>;</年代p一个n>/ /节点数据覆盖</td> </tr> <tr> <td>(26)</td> <td><span class="nowrap"> <svg height="12.7178pt" id="M186" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 170.385 12.7178" width="170.385pt" 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="M610 18C585 26 567 34 540 68C517 97 499 128 476 171C452 215 425 276 413 304C496 332 570 394 570 494C570 555 545 595 509 619S419 650 364 650H139L133 622C216 615 219 612 203 527L129 132C112 40 105 36 23 28L17 0H279L285 28C199 34 194 40 211 132L239 284H284C320 284 334 275 351 236C374 182 394 140 420 93C459 23 495 -1 592 -8H600L610 18ZM480 485C480 424 449 372 403 342C374 323 338 316 293 316H245L291 562C296 589 301 601 311 608S337 618 358 618C432 618 480 575 480 485Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,8.151,0)"> <path d="M445 282C445 390 384 448 297 448C266 448 231 437 189 418C96 376 23 279 23 151C23 65 66 -12 169 -12C233 -12 294 18 337 53C411 113 445 201 445 282ZM355 280C355 161 302 62 243 36C231 31 219 30 207 30C147 30 111 78 111 154C111 302 180 380 220 399C231 404 246 407 264 407C311 407 355 367 355 280Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,14.236,0)"> <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,-0.013,21.23,0)"> <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,-0.013,25.663,0)"> <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,-0.013,31.045,0)"> <path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,34.009,0)"> <path d="M238 681C243 705 239 712 230 712C217 712 156 682 75 674L70 648H105C148 648 153 641 144 598L39 110C18 11 35 -12 55 -12C90 -12 166 36 221 103L205 125C174 93 130 65 118 65C112 65 108 68 114 96L238 681Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,37.507,0)"> <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,-0.013,42.89,0)"> <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,-0.013,48.894,0)"> <path d="M546 430L539 434C529 434 505 438 495 440C473 444 450 448 430 448C352 448 265 412 213 366C145 306 96 203 96 103C96 22 135 -12 160 -12C190 -12 238 14 262 32C310 68 368 120 411 184H413C403 117 396 75 384 21C353 -118 325 -158 291 -184C270 -200 241 -205 208 -205C133 -205 90 -164 74 -110C70 -98 58 -100 49 -107C34 -119 23 -140 23 -155C23 -190 74 -261 166 -261C219 -261 280 -233 314 -208C383 -157 446 -79 470 81C491 223 529 388 546 430ZM456 386C452 357 433 283 420 252C402 216 366 174 325 129C288 88 239 56 212 56C192 56 182 77 182 120C182 165 199 242 226 292C256 348 281 377 311 389C327 395 353 402 375 402C408 402 436 394 456 386Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,56.292,0)"> <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,-0.013,60.856,0)"> <path d="M499 88L487 113C459 86 422 65 413 65C403 65 403 74 409 98L461 318C487 426 460 448 431 448C408 448 383 441 352 424C305 398 223 344 157 257H155L243 674C249 702 249 712 240 712C227 712 170 680 87 673L82 648H117C155 648 162 644 150 590L23 -4L30 -12C55 -4 81 3 105 8C113 53 131 150 143 187C199 281 323 387 372 387C390 387 393 369 380 311L328 86C313 19 319 -12 347 -12C379 -12 442 24 499 88Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,71.196,0)"> <path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,82.459,0)"> <path d="M610 18C585 26 567 34 540 68C517 97 499 128 476 171C452 215 425 276 413 304C496 332 570 394 570 494C570 555 545 595 509 619S419 650 364 650H139L133 622C216 615 219 612 203 527L129 132C112 40 105 36 23 28L17 0H279L285 28C199 34 194 40 211 132L239 284H284C320 284 334 275 351 236C374 182 394 140 420 93C459 23 495 -1 592 -8H600L610 18ZM480 485C480 424 449 372 403 342C374 323 338 316 293 316H245L291 562C296 589 301 601 311 608S337 618 358 618C432 618 480 575 480 485Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,90.61,0)"> <path d="M445 282C445 390 384 448 297 448C266 448 231 437 189 418C96 376 23 279 23 151C23 65 66 -12 169 -12C233 -12 294 18 337 53C411 113 445 201 445 282ZM355 280C355 161 302 62 243 36C231 31 219 30 207 30C147 30 111 78 111 154C111 302 180 380 220 399C231 404 246 407 264 407C311 407 355 367 355 280Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,96.694,0)"> <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,-0.013,103.689,0)"> <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,-0.013,108.122,0)"> <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,-0.013,113.504,0)"> <path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,116.468,0)"> <path d="M238 681C243 705 239 712 230 712C217 712 156 682 75 674L70 648H105C148 648 153 641 144 598L39 110C18 11 35 -12 55 -12C90 -12 166 36 221 103L205 125C174 93 130 65 118 65C112 65 108 68 114 96L238 681Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,119.966,0)"> <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,-0.013,125.349,0)"> <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,-0.013,131.353,0)"> <path d="M546 430L539 434C529 434 505 438 495 440C473 444 450 448 430 448C352 448 265 412 213 366C145 306 96 203 96 103C96 22 135 -12 160 -12C190 -12 238 14 262 32C310 68 368 120 411 184H413C403 117 396 75 384 21C353 -118 325 -158 291 -184C270 -200 241 -205 208 -205C133 -205 90 -164 74 -110C70 -98 58 -100 49 -107C34 -119 23 -140 23 -155C23 -190 74 -261 166 -261C219 -261 280 -233 314 -208C383 -157 446 -79 470 81C491 223 529 388 546 430ZM456 386C452 357 433 283 420 252C402 216 366 174 325 129C288 88 239 56 212 56C192 56 182 77 182 120C182 165 199 242 226 292C256 348 281 377 311 389C327 395 353 402 375 402C408 402 436 394 456 386Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,138.751,0)"> <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,-0.013,143.315,0)"> <path d="M499 88L487 113C459 86 422 65 413 65C403 65 403 74 409 98L461 318C487 426 460 448 431 448C408 448 383 441 352 424C305 398 223 344 157 257H155L243 674C249 702 249 712 240 712C227 712 170 680 87 673L82 648H117C155 648 162 644 150 590L23 -4L30 -12C55 -4 81 3 105 8C113 53 131 150 143 187C199 281 323 387 372 387C390 387 393 369 380 311L328 86C313 19 319 -12 347 -12C379 -12 442 24 499 88Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,152.928,0)"> <path d="M535 230V280H323V490H265V280H52V230H265V-3H323V230H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,163.465,0)"> <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>;</年代p一个n>/ /当前路径长度+ 1</td> </tr> <tr> <td>(27)</td> <td><span class="nowrap"> <svg height="12.7178pt" id="M187" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 56.4788 12.7178" width="56.4788pt" 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="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,-0.013,6.994,0)"> <path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.958,0)"> <path d="M619 670C619 686 593 712 555 712S459 686 410 634S335 504 320 430H250L219 400L222 388H312L258 73C223 -133 201 -166 187 -180C175 -191 158 -199 140 -199C123 -199 88 -188 74 -172C68 -166 63 -164 54 -171C38 -185 23 -201 23 -215C23 -236 60 -261 93 -261C122 -261 161 -247 207 -200C268 -138 300 -71 337 94C365 220 376 277 394 387L501 399L521 430H401C432 623 464 665 501 665C524 665 544 651 567 627C577 617 583 618 592 625C601 631 619 651 619 670Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,18.115,0)"> <path d="M238 681C243 705 239 712 230 712C217 712 156 682 75 674L70 648H105C148 648 153 641 144 598L39 110C18 11 35 -12 55 -12C90 -12 166 36 221 103L205 125C174 93 130 65 118 65C112 65 108 68 114 96L238 681Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,21.613,0)"> <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"></path> </g> <g transform="matrix(.013,0,0,-0.013,27.671,0)"> <path d="M546 430L539 434C529 434 505 438 495 440C473 444 450 448 430 448C352 448 265 412 213 366C145 306 96 203 96 103C96 22 135 -12 160 -12C190 -12 238 14 262 32C310 68 368 120 411 184H413C403 117 396 75 384 21C353 -118 325 -158 291 -184C270 -200 241 -205 208 -205C133 -205 90 -164 74 -110C70 -98 58 -100 49 -107C34 -119 23 -140 23 -155C23 -190 74 -261 166 -261C219 -261 280 -233 314 -208C383 -157 446 -79 470 81C491 223 529 388 546 430ZM456 386C452 357 433 283 420 252C402 216 366 174 325 129C288 88 239 56 212 56C192 56 182 77 182 120C182 165 199 242 226 292C256 348 281 377 311 389C327 395 353 402 375 402C408 402 436 394 456 386Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,38.701,0)"> <path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path> </g> <g transform="matrix(.013,0,0,-0.013,49.964,0)"> <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>;</年代p一个n>/ /当前节点<年代vg height="6.1673pt" id="M188" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 7.11985 6.1673" width="7.11985pt" 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="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> </svg>被标记为通过</td> </tr> <tr> <td>(28)</td> <td><b>返回</b><span class="nowrap"> <svg height="6.1673pt" id="M189" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 7.11985 6.1673" width="7.11985pt" 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="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> </svg>;</年代p一个n>/ /返回下一跳节点<年代vg height="6.1673pt" id="M190" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 7.11985 6.1673" width="7.11985pt" 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="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> </svg></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6</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/alg6/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> ELM-based高效数据采集算法。</d我v> </div> </div> </div> <p>节点集<年代vg height="8.8423pt" id="M191" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 22.8436 8.8423" width="22.8436pt" 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,-0.013,5.875,0)"> <use xlink:href="#g113-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.524,0)"> <use xlink:href="#g113-84"></use> </g> </svg>(第6行)和参数信息初始化(7 - 8行),然后一个<年代vg height="8.68572pt" id="M192" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 8.15071 8.68572" width="8.15071pt" 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> </svg>函数设置为每个标记节点计算<年代vg height="8.8423pt" id="M193" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 22.8436 8.8423" width="22.8436pt" 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,-0.013,5.875,0)"> <use xlink:href="#g113-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.524,0)"> <use xlink:href="#g113-84"></use> </g> </svg>集。参考节点计算节点的节点集预测位置<年代p一个ncl一个年代年代="nowrap"> <svg height="12.0653pt" id="M194" style="vertical-align:-3.4294pt" version="1.1" viewbox="-0.0498162 -8.6359 38.0193 12.0653" width="38.0193pt" 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="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.433,0)"> <use xlink:href="#g113-102"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.815,0)"> <use xlink:href="#g113-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.29,0)"> <use xlink:href="#g113-113"></use> </g> <g transform="matrix(.013,0,0,-0.013,26.87,0)"> <use xlink:href="#g113-79"></use> </g> </svg>,</年代p一个n>和的长度<年代vg height="8.68572pt" id="M195" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 8.15071 8.68572" width="8.15071pt" 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> </svg>函数组标记节点累积(9-14行),和获得的平均长度选择阈值(15行)。然后,对于每一个标记节点集<年代p一个ncl一个年代年代="nowrap"> <svg height="8.8423pt" id="M196" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 22.8436 8.8423" width="22.8436pt" 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,-0.013,5.875,0)"> <use xlink:href="#g113-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,16.524,0)"> <use xlink:href="#g113-84"></use> </g> </svg>,</年代p一个n>确定节点的长度<年代vg height="8.68572pt" id="M197" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 8.15071 8.68572" width="8.15071pt" 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> </svg>函数集是大于或等于平均阈值,如果是,将它添加到<年代vg height="12.0653pt" id="M198" style="vertical-align:-3.4294pt" version="1.1" viewbox="-0.0498162 -8.6359 49.9458 12.0653" width="49.9458pt" 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="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.433,0)"> <use xlink:href="#g113-102"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.815,0)"> <use xlink:href="#g113-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.29,0)"> <use xlink:href="#g113-113"></use> </g> <g transform="matrix(.013,0,0,-0.013,27,0)"> <use xlink:href="#g113-84"></use> </g> <g transform="matrix(.013,0,0,-0.013,32.875,0)"> <use xlink:href="#g113-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,43.524,0)"> <use xlink:href="#g113-84"></use> </g> </svg>设置为该节点被选中(16 - 20行)。接下来,从随机选择节点<年代p一个ncl一个年代年代="nowrap"> <svg height="12.0653pt" id="M199" style="vertical-align:-3.4294pt" version="1.1" viewbox="-0.0498162 -8.6359 49.9458 12.0653" width="49.9458pt" 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="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.433,0)"> <use xlink:href="#g113-102"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.815,0)"> <use xlink:href="#g113-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.29,0)"> <use xlink:href="#g113-113"></use> </g> <g transform="matrix(.013,0,0,-0.013,27,0)"> <use xlink:href="#g113-84"></use> </g> <g transform="matrix(.013,0,0,-0.013,32.875,0)"> <use xlink:href="#g113-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,43.524,0)"> <use xlink:href="#g113-84"></use> </g> </svg>。</年代p一个n>如果选中的节点<年代vg height="9.39034pt" id="M200" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.34167 9.39034" width="7.34167pt" 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="M538 96L524 119C492 88 454 63 446 63C439 63 434 70 440 101C463 223 491 341 518 448H508L433 422L401 276C355 192 240 56 188 56C163 56 154 89 163 133C184 233 207 338 235 443L230 448L152 424L58 17C40 -60 23 -143 23 -185C23 -241 42 -261 63 -261C92 -261 117 -241 125 -227L124 -221C109 -209 89 -165 89 -103C89 -55 96 -13 105 26H107C121 -3 134 -12 151 -12C172 -12 194 -5 221 16C279 61 330 124 384 194H386C381 159 377 141 368 105C343 3 363 -12 383 -12C416 -12 486 35 538 96Z" id="g113-234"></path> </g> </svg>和当前节点<年代vg height="6.04987pt" id="M201" style="vertical-align:-0.2325001pt" version="1.1" viewbox="-0.0498162 -5.81737 5.98461 6.04987" width="5.98461pt" 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="#g185-40"></use> </g> </svg>不是在通信范围内或选定的节点<年代vg height="9.39034pt" id="M202" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.34167 9.39034" width="7.34167pt" 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="#g113-234"></use> </g> </svg>收集了数据在当前路径,然后中的节点<年代vg height="12.0653pt" id="M203" style="vertical-align:-3.4294pt" version="1.1" viewbox="-0.0498162 -8.6359 49.9458 12.0653" width="49.9458pt" 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="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.433,0)"> <use xlink:href="#g113-102"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.815,0)"> <use xlink:href="#g113-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,19.29,0)"> <use xlink:href="#g113-113"></use> </g> <g transform="matrix(.013,0,0,-0.013,27,0)"> <use xlink:href="#g113-84"></use> </g> <g transform="matrix(.013,0,0,-0.013,32.875,0)"> <use xlink:href="#g113-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,43.524,0)"> <use xlink:href="#g113-84"></use> </g> </svg>设置是随机选择的,直到适当的节点(第22 - 24行);最后重叠节点数据(25)行,添加一个到当前路径长度(第26行),和马克所选节点返回的节点信息(27 - 28日行)。</p> <p>的所有算法的时间复杂度的分析,执行死刑的数量基本操作的算法的时间复杂度的算法。的算法<一个href="//www.newsama.com/journals/complexity/2020/6467891/alg6/" target="_blank">6</一个>,它的大小<我>N</我>;然后循环的数量确定。的时间复杂度<我>T</我>(<我>n</我>)=<我>O</我>(<我>f</我>(<我>n</我>),增长最快的一项或一项因素)。可以确定算法的时间复杂度<我>O</我>(<我>N</我>)。</p> <h4 id="experiments">5。实验</h4> <p>在本节中,变量下的仿真实验进行稀疏信号和通信半径等参数变量。节点的随机选择方法在静态环境和有效的数据收集算法实现。最后,两种算法的性能进行比较和分析。在实验中,随机选择路径通过合成数据和传感器节点的数据IntelLab实验室。</p> <h5 id="sec5.1">5.1。实验环境</h5> <p>本章的实验环境如下。<年代p一个ncl一个年代年代="list"><span class="list-item"><span class="list-label">(1)</年代p一个n><span class="list-content">涉及操作系统:64位操作系统</年代p一个n></span><span class="list-item"><span class="list-label">(2)</年代p一个n><span class="list-content">记忆:8 GB RAM</年代p一个n></span><span class="list-item"><span class="list-label">(3)</年代p一个n><span class="list-content">处理器:英特尔核心(TM) i5 (R)</年代p一个n></span><span class="list-item"><span class="list-label">(4)</年代p一个n><span class="list-content">算法语言:C + +</年代p一个n></span></span></p> <p>本仿真实验中使用的数据是人工数据和IntelLab实验室数据:<年代p一个ncl一个年代年代="list"><span class="list-item"><span class="list-label">(1)</年代p一个n><span class="list-content">为了验证有效的数据收集算法的有效性,256个节点的位置数据信息合成和100×100建造在这个实验中传感器网络环境。由于传感器网络布局的随机性在实际的无线传感器网络环境下,256个节点的位置数据是随机生成的,然后程序删除重复的节点和节点生成新的位置。</年代p一个n></span><span class="list-item"><span class="list-label">(2)</年代p一个n><span class="list-content">在仿真实验中使用的数据的节点位置数据IntelLab实验室从2004年2月至4月。有54个传感器节点分布在35×45网络环境来验证有效的数据收集算法的有效性。</年代p一个n></span></span></p> <p>表<一个href="//www.newsama.com/journals/complexity/2020/6467891/tab2/" target="_blank">2</一个>列出了参数值变化范围和默认值的实验。在仿真实验中,主要的参数是信号稀疏<我>k</我>传感器节点的数量<我>n</我>和节点通信半径<我>r</我>。长度变化的主要参数是可以达成的<我>米</我>随机路径的多个参数的范围。在实验中,当一个参数变量的变化,其他两个引用变量设置为默认值。</p> <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="3"> <hr></td> </tr> <tr class="thead"> <td class="align_left">参数</td> <td class="align_center">默认的</td> <td class="align_center">可选的参数值</td> </tr> <tr> <td class="thead-hr" colspan="3"> <hr></td> </tr> <tr> <td class="align_left"><i>K</我></td> <td class="align_center">7</td> <td class="align_center">5、9、11、14</td> </tr> <tr> <td class="align_left">的节点数量<我>n</我></td> <td class="align_center">256年</td> <td class="align_center">169年,400年</td> </tr> <tr> <td class="align_left">通信半径<我>r</我></td> <td class="align_center">8</td> <td class="align_center">4、6、10、12</td> </tr> <tr class="table-tr"> <td colspan="3"> <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</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/tab2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 范围和默认值的参数。</d我v> </div> </div> </div> <p>当考虑节点的数量的影响<我>n</我>两种算法的性能,本节仅比较了两种算法通过合成数据。</p> <h5 id="sec5.2">5.2。有效的数据收集方法在静态传感器网络的性能</h5> <p>图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig10/" target="_blank">10</一个>显示的效果不同的信号稀疏随机漫步的总数路径节点。随着信号稀疏的变化,随机路径长度<我>t</我>和随机路径的数量<我>米</我>改变。根据不同的信号稀疏,每个测试用例统计总结15倍,平均节点计算长度。从图可以观察到,随着信号稀疏的增加,实际节点的总长度<我>米</我>随机路径减少。可以看出,在相同的信号稀疏,有效的数据收集算法具有更好的性能比节点随机选择算法,及其性能优势更明显的信号稀疏时小。</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)" name="6467891.fig.0010a" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.0010a.svgz"> <br> <strong>(一)</年代trong> </div> <div class="partial-carousel--single-image"> <img alt="(b)" name="6467891.fig.0010b" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.0010b.svgz"> <br> <strong>(b)</年代trong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig10"> <button class="partial-carousel-dot" aria-label="(a)"><img alt="(一)" name="6467891.fig.0010a" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.0010a.svgz"><br><strong>(一)</年代trong></button> <button class="partial-carousel-dot" aria-label="(b)"><img alt="(b)" name="6467891.fig.0010b" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.0010b.svgz"><br><strong>(b)</年代trong></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</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/fig10/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 上的稀疏随机路径的影响。(一)合成数据集。(b) IntelLab数据集。</d我v> </div> </div> </div> <p>图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig11/" target="_blank">11</一个>显示两者之间的性能比较算法在网络中的不同节点。从图可以观察到,随着网络中节点的总数量,总数实际获得的随机路径节点随机选择算法和高效的数据收集算法显示了一个增加的趋势,因为,随着值的增加,随机行走路径和随机行走路径的长度增加。与相同的节点网络相比,高效的数据收集算法可以得到更多的随机路径节点比随机选择算法,而且,与节点的数量的增加,高效的数据收集算法的性能更加明显。</p> <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="" name="6467891.fig.0011" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.0011.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图11</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/fig11/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 随机路径上的节点数量的影响。</d我v> </div> </div> </div> <p>图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig12/" target="_blank">12</一个>显示了一个比较两种算法的性能在不同的通信半径,剩下其他参数的默认值。因为节点的总数和稀疏的信号保持不变,随机行走路径的长度保持不变的理论。从图可以看出,传感器节点的通信半径的增加,随机路径上的节点总数显示了增加的趋势。通信半径达到一定值时,节点总数基本上是相同的。原因在于,随着节点的通信范围变得更大,你的邻居节点的数据集变得更大,和下一跳节点的数量,可以选择增加,随机漫步的建设路径可以完成。可以看出,在相同的通信半径下,有效的数据收集算法可以显示比节点随机选择算法更好的性能。</p> <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="(一)" name="6467891.fig.0012a" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.0012a.svgz"> <br> <strong>(一)</年代trong> </div> <div class="partial-carousel--single-image"> <img alt="(b)" name="6467891.fig.0012b" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.0012b.svgz"> <br> <strong>(b)</年代trong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig12"> <button class="partial-carousel-dot" aria-label="(a)"><img alt="(一)" name="6467891.fig.0012a" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.0012a.svgz"><br><strong>(一)</年代trong></button> <button class="partial-carousel-dot" aria-label="(b)"><img alt="(b)" name="6467891.fig.0012b" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.0012b.svgz"><br><strong>(b)</年代trong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig12"> <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12</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/fig12/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 在随机通信半径的影响路径。(一)合成数据集。(b) IntelLab数据集。</d我v> </div> </div> </div> <h5 id="sec5.3">5.3。的性能高效的移动传感器网络的数据收集方法</h5> <p>如图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig13/" target="_blank">13</一个>的影响,信号稀疏随机路径节点的总数在移动网络环境表明,通信半径等参数变量和保留默认值的节点总数。从图可以看出,随着信号稀疏<我>k</我>度,节点随机选择算法的总数和有效的数据收集算法基于榆树位置预测是下降的。然后比较两种算法的性能在同样的信号稀疏。通过分析,我们可以看到,在相同的信号稀疏,有效的数据收集算法基于榆树位置预测可以得到比随机路径节点集合的算法。收集更多的数据,所以前者有更好的性能优势。与信号稀疏的增加,两种算法之间的差距逐渐缩小,因为,与信号稀疏的增加,所需的随机路径长度逐渐降低。当价值大,高效的数据收集算法的性能优势更明显。</p> <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="(一)" name="6467891.fig.0013a" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.0013a.svgz"> <br> <strong>(一)</年代trong> </div> <div class="partial-carousel--single-image"> <img alt="(b)" name="6467891.fig.0013b" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.0013b.svgz"> <br> <strong>(b)</年代trong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig13"> <button class="partial-carousel-dot" aria-label="(a)"><img alt="(一)" name="6467891.fig.0013a" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.0013a.svgz"><br><strong>(一)</年代trong></button> <button class="partial-carousel-dot" aria-label="(b)"><img alt="(b)" name="6467891.fig.0013b" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.0013b.svgz"><br><strong>(b)</年代trong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig13"> <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13</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/fig13/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 上的稀疏随机路径的影响。(一)合成数据集。(b) IntelLab数据集。</d我v> </div> </div> </div> <p>如图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig14/" target="_blank">14</一个>的影响,不同的节点总数的变化<我>n</我>在网络的总人数<我>米</我>随机路径节点是证明,其他参数保持默认值。从图可以看出,节点总数的变化<我>n</我>的总数<我>米</我>两种算法随机路径节点显示上升趋势,因为,与节点的数量的增加,所需的长度<我>t</我>和随机路径的数量<我>米</我>增加。可以看出,在相同节点数<我>n</我>基于榆树的位置,有效的数据收集算法预测比节点随机路径集合算法更好的性能。另外,随着<我>n</我>增加,该性能优势变得更加明显。</p> <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="6467891.fig.0014" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.0014.svgz"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图14</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/fig14/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 随机路径上的节点数量的影响。</d我v> </div> </div> </div> <p>如图<一个href="//www.newsama.com/journals/complexity/2020/6467891/fig15/" target="_blank">15</一个>、通信半径的变化的影响的随机路径节点总数。其他参数保持默认值。从图可以看出,节点的通信半径的增加,节点的总数,可以通过增加随机路径的两个算法。选择邻居节点的数量在数据收集中选择节点的增加,所以选择下一跳节点数量的增加,它提供了更多的可能性为当前节点选择下一跳节点。可以看出,在相同的通信半径范围,提出了有效的数据收集算法基于榆树比随机选择算法更好的性能在一定通信半径范围内。这表明基于榆树位置预测的有效的数据收集算法比随机选择算法有更好的性能。</p> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig15"> <div class="floats-partial-content fig-content-fig15"> <div class="partial-carousel--single-image"> <img alt="(一)" name="6467891.fig.0015a" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.0015a.svgz"> <br> <strong>(一)</年代trong> </div> <div class="partial-carousel--single-image"> <img alt="(b)" name="6467891.fig.0015b" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.0015b.svgz"> <br> <strong>(b)</年代trong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig15"> <button class="partial-carousel-dot" aria-label="(a)"><img alt="(一)" name="6467891.fig.0015a" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.0015a.svgz"><br><strong>(一)</年代trong></button> <button class="partial-carousel-dot" aria-label="(b)"><img alt="(b)" name="6467891.fig.0015b" src="https://static-01.hindawi.com/articles/complexity/volume-2020/6467891/figures/6467891.fig.0015b.svgz"><br><strong>(b)</年代trong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig15"> <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15</年代p一个n> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/complexity/2020/6467891/fig15/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <div> 在随机通信半径的影响路径。(一)合成数据集。(b) IntelLab数据集。</d我v> </div> </div> </div> <h4 id="conclusion">6。结论</h4> <p>本文压缩感知在无线传感器网络的特性进行了分析,和随机漫步路径选择策略深入研究。本文提出了一种有效的数据收集算法在静态环境不确定环境的无线传感器网络和数据收集过程中出现的问题,一个复杂的布局。然后,它被扩展提出一种有效的基于榆树位置预测的数据收集算法在移动网络环境,使大量的仿真实验验证算法的正确性。最后,设计原型系统来验证算法的正确性和有效性。</p> <h4 id="data-availability">数据可用性</h4> <p>使用的数据来支持本研究的发现可以从相应的作者。</p> <h4 id="conflicts-of-interest">的利益冲突</h4> <p>作者宣称没有利益冲突有关的出版。</p> <h4 id="acknowledgments">确认</h4> <p>这项研究得到了国家自然科学基金(没有。61602323)、国家博士后基金(没有。2016 m591455),青年幼苗辽宁省(没有的基础。lnqn201913)和辽宁省自然科学基金(2019 ms264和20180550019号)。</p> </div> <div class="xml-content"> <h4 class="references" id="references">引用</h4> <ol> <li id="B1">j .活跃、b·穆克吉和d . 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<div class="sc-hjRWVT iLecBy article_toolbar_views"> 98年 的观点 | 77年 下载 | 0 引用</d我v> <a class="sc-htpNat bUhGXt link sc-cbkKFq dNPgJJ sc-iybRtq jghqNV pdf_desktop" href="//www.newsama.com/downloads/journals/complexity/2020/6467891.pdf" aria-label="" target="_blank" id=""><span><img alt="" class="sc-EHOje fEOMwM sc-krvtoX isUmzT" title="" role="presentation" src="https://static-01.hindawi.com/next_assets/Lvhw1J_a6cWVqaLmZO6Im/_next/static/node_modules/hindawi-ui/src/icon/svg/pdf.svg" height="24"><span class="text">PDF</年代p一个n></span><img alt="" class="sc-EHOje ggEPYc sc-fYiAbW eBEQa fileArrow" title="" role="presentation" 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height="20"></a> <a class="sc-htpNat bUhGXt link sc-cbkKFq dNPgJJ sc-iQtOjA huyqUq ref_desktop" href="//www.newsama.com/journals/complexity/2020/6467891.ris" aria-label="" target="" id="toolbar__dcNavLarge"><span><img alt="" class="sc-EHOje fEOMwM sc-krvtoX isUmzT" title="" role="presentation" src="data:image/svg+xml;base64,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" height="24"><span class="text">下载引用</年代p一个n></span><img alt="" class="sc-EHOje ggEPYc sc-fYiAbW eBEQa fileArrow" title="" role="presentation" src="data:image/svg+xml;base64,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" height="20"></a> <a class="sc-htpNat bUhGXt link sc-cbkKFq dNPgJJ sc-fHxwqH dPWBKK ref_desktop" href="//www.newsama.com/journals/complexity/2020/6467891.ris" aria-label="" target="" id="toolbar__dcNavSmall"><span><img alt="" class="sc-EHOje fEOMwM sc-krvtoX isUmzT" title="" role="presentation" src="data:image/svg+xml;base64,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" height="24"><span class="text">引用</年代p一个n></span><img alt="" class="sc-EHOje ggEPYc sc-fYiAbW eBEQa fileArrow" title="" role="presentation" src="data:image/svg+xml;base64,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" height="20"></a> </div> </div> <div class="journal_article__ArticleStickyBottomToolbar-sc-12fk6zy-2 gvAMNw article_sticky_bottom_toolbar"> <div class="sc-fyjhYU bmCmNg article_bottom_toolbar"> <div class="sc-ugnQR bdNavy accordion" property="background-color" color="#D8D8D8" id="toolbar__dofNav"> <span><img alt="" class="sc-EHOje fEOMwM sc-iomxrj czMNsj" title="" role="presentation" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHhtbG5zOnhsaW5rPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5L3hsaW5rIiB3aWR0aD0iMjAiIGhlaWdodD0iMjIiIHZpZXdCb3g9IjAgMCAyMCAyMiI+PGRlZnM+PGNsaXBQYXRoIGlkPSJhIj48cGF0aCBkPSJNMywyMmEzLDMsMCwwLDEtMy0zVjE2YTEsMSwwLDAsMSwyLDB2M2ExLDEsMCwwLDAsMSwxSDE3YTEsMSwwLDAsMCwxLTFWMTZhMSwxLDAsMSwxLDIsMHYzYTMsMywwLDAsMS0zLDNabTYuMjg4LTYuMy00LTRhMSwxLDAsMCwxLDEuNDE0LTEuNDE0TDksMTIuNTg2VjFhMSwxLDAsMCwxLDIsMFYxMi41ODZsMi4yOTMtMi4yOTNhMSwxLDAsMCwxLDEuNDE0LDEuNDE0bC00LDRhMSwxLDAsMCwxLTEuNDIzLDBaIiB0cmFuc2Zvcm09InRyYW5zbGF0ZSgyIDEpIi8+PC9jbGlwUGF0aD48L2RlZnM+PGcgdHJhbnNmb3JtPSJ0cmFuc2xhdGUoLTIgLTEpIj48cGF0aCBkPSJNMywyMmEzLDMsMCwwLDEtMy0zVjE2YTEsMSwwLDAsMSwyLDB2M2ExLDEsMCwwLDAsMSwxSDE3YTEsMSwwLDAsMCwxLTFWMTZhMSwxLDAsMSwxLDIsMHYzYTMsMywwLDAsMS0zLDNabTYuMjg4LTYuMy00LTRhMSwxLDAsMCwxLDEuNDE0LTEuNDE0TDksMTIuNTg2VjFhMSwxLDAsMCwxLDIsMFYxMi41ODZsMi4yOTMtMi4yOTNhMSwxLDAsMCwxLDEuNDE0LDEuNDE0bC00LDRhMSwxLDAsMCwxLTEuNDIzLDBaIiB0cmFuc2Zvcm09InRyYW5zbGF0ZSgyIDEpIi8+PGcgY2xpcC1wYXRoPSJ1cmwoI2EpIj48cmVjdCB3aWR0aD0iMjQiIGhlaWdodD0iMjQiIGZpbGw9InJnYmEoMCwwLDAsMCkiLz48cmVjdCB3aWR0aD0iMjQiIGhlaWdodD0iMjQiLz48L2c+PC9nPjwvc3ZnPg==" height="24"><span class="sc-iFMziU gCiAsp">下载其他格式</年代p一个n><span class="sc-keVrkP hYjHxB">更多的</年代p一个n></span> <img alt="" class="sc-EHOje fEOMwM sc-dvCyap bivFoZ" title="" role="presentation" src="data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiPz4KPHN2ZyB3aWR0aD0iMTRweCIgaGVpZ2h0PSI4cHgiIHZpZXdCb3g9IjAgMCAxNCA4IiB2ZXJzaW9uPSIxLjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgeG1sbnM6eGxpbms9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkveGxpbmsiPgogICAgPCEtLSBHZW5lcmF0b3I6IFNrZXRjaCA1My4yICg3MjY0MykgLSBodHRwczovL3NrZXRjaGFwcC5jb20gLS0+CiAgICA8dGl0bGU+Y2hldnJvbi1kb3duIGNvcHkgMjwvdGl0bGU+CiAgICA8ZGVzYz5DcmVhdGVkIHdpdGggU2tldGNoLjwvZGVzYz4KICAgIDxkZWZzPgogICAgICAgIDxwYXRoIGQ9Ik0xMiwxMC40MTQyMTM2IEwxNy4yOTI4OTMyLDE1LjcwNzEwNjggQzE3LjY4MzQxNzUsMTYuMDk3NjMxMSAxOC4zMTY1ODI1LDE2LjA5NzYzMTEgMTguNzA3MTA2OCwxNS43MDcxMDY4IEMxOS4wOTc2MzExLDE1LjMxNjU4MjUgMTkuMDk3NjMxMSwxNC42ODM0MTc1IDE4LjcwNzEwNjgsMTQuMjkyODkzMiBMMTIuNzA3MTA2OCw4LjI5Mjg5MzIyIEMxMi4zMTY1ODI1LDcuOTAyMzY4OTMgMTEuNjgzNDE3NSw3LjkwMjM2ODkzIDExLjI5Mjg5MzIsOC4yOTI4OTMyMiBMNS4yOTI4OTMyMiwxNC4yOTI4OTMyIEM0LjkwMjM2ODkzLDE0LjY4MzQxNzUgNC45MDIzNjg5MywxNS4zMTY1ODI1IDUuMjkyODkzMjIsMTUuNzA3MTA2OCBDNS42ODM0MTc1MSwxNi4wOTc2MzExIDYuMzE2NTgyNDksMTYuMDk3NjMxMSA2LjcwNzEwNjc4LDE1LjcwNzEwNjggTDEyLDEwLjQxNDIxMzYgWiIgaWQ9InBhdGgtMSI+PC9wYXRoPgogICAgPC9kZWZzPgogICAgPGcgaWQ9IlN5bWJvbHMiIHN0cm9rZT0ibm9uZSIgc3Ryb2tlLXdpZHRoPSIxIiBmaWxsPSJub25lIiBmaWxsLXJ1bGU9ImV2ZW5vZGQiPgogICAgICAgIDxnIGlkPSJJY29ucy9Ecm9wLURvd24tRG93biIgdHJhbnNmb3JtPSJ0cmFuc2xhdGUoLTguMDAwMDAwLCAtMTEuMDAwMDAwKSI+CiAgICAgICAgICAgIDxnIGlkPSJjaGV2cm9uLXVwIiB0cmFuc2Zvcm09InRyYW5zbGF0ZSgxNS4wMDAwMDAsIDE1LjAwMDAwMCkgcm90YXRlKC0xODAuMDAwMDAwKSB0cmFuc2xhdGUoLTE1LjAwMDAwMCwgLTE1LjAwMDAwMCkgdHJhbnNsYXRlKDMuMDAwMDAwLCAzLjAwMDAwMCkiPgogICAgICAgICAgICAgICAgPG1hc2sgaWQ9Im1hc2stMiIgZmlsbD0id2hpdGUiPgogICAgICAgICAgICAgICAgICAgIDx1c2UgeGxpbms6aHJlZj0iI3BhdGgtMSI+PC91c2U+CiAgICAgICAgICAgICAgICA8L21hc2s+CiAgICAgICAgICAgICAgICA8dXNlIGlkPSJTaGFwZSIgZmlsbD0iIzAwMDAwMCIgZmlsbC1ydWxlPSJub256ZXJvIiB4bGluazpocmVmPSIjcGF0aC0xIj48L3VzZT4KICAgICAgICAgICAgICAgIDxnIGlkPSJDT0xPUi8tUHJpbWFyeS1HcmVlbiIgbWFzaz0idXJsKCNtYXNrLTIpIiBmaWxsPSIjNkJBNDM5IiBmaWxsLXJ1bGU9ImV2ZW5vZGQiPgogICAgICAgICAgICAgICAgICAgIDxyZWN0IGlkPSJSZWN0YW5nbGUiIHg9IjAiIHk9IjAiIHdpZHRoPSIyNCIgaGVpZ2h0PSIyNCI+PC9yZWN0PgogICAgICAgICAgICAgICAgPC9nPgogICAgICAgICAgICA8L2c+CiAgICAgICAgPC9nPgogICAgPC9nPgo8L3N2Zz4=" height="24"> </div> <div class="sc-eIHaNI qcTAH"> <a class="sc-htpNat bUhGXt link sc-eTpRJs eqSlZb open_panel" href="//www.newsama.com/downloads/journals/complexity/2020/6467891.epub" aria-label="ePub" property="background-color" color="#D8D8D8"> <div class="sc-dxZgTM jwQjXi"> ePub</d我v><img alt="" class="sc-EHOje fEOMwM sc-iomxrj czMNsj" title="" role="presentation" 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height="24"><span class="sc-iFMziU gCiAsp">订单打印副本</年代p一个n><span class="sc-keVrkP hYjHxB">订单</年代p一个n></span><img alt="" class="sc-EHOje cPuqxU sc-dvCyap bivFoZ right__icon" title="" role="presentation" 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src="data:image/svg+xml;base64,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" height="14">关于我们</一个></li> <li><a class="sc-htpNat bUhGXt link contact_us" href="//www.newsama.com/about/contact/" aria-label="Contact us"><img alt="" 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href="//www.newsama.com/publishing-partnerships/" aria-label="Partnerships"><img alt="" class="sc-EHOje jRIjVn" title="" role="presentation" src="data:image/svg+xml;base64,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" 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src="data:image/svg+xml;base64,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" height="14">博客</一个></li> </ul> <ul class="_2k5c8zEhMT-84kRD4oDgAz _1SoDWGr_FVsil9klRfjnhb"> <li><a class="sc-htpNat bUhGXt link journals" href="//www.newsama.com/journals/" aria-label="Journals"><img alt="" class="sc-EHOje jRIjVn" title="" role="presentation" src="data:image/svg+xml;base64,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" height="14">期刊</一个></li> <li><a class="sc-htpNat bUhGXt link article_processing_charges" href="//www.newsama.com/publish-research/authors/article-processing-charges/" aria-label="Article Processing Charges"><img alt="" class="sc-EHOje jRIjVn" title="" role="presentation" src="data:image/svg+xml;base64,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" height="14">文章处理费用</一个></li> <li><a class="sc-htpNat bUhGXt link subscriptions" href="//www.newsama.com/subscriptions/" aria-label="Subscriptions"><img alt="" class="sc-EHOje jRIjVn" title="" role="presentation" src="data:image/svg+xml;base64,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" height="14">订阅</一个></li> </ul> <ul class="_2k5c8zEhMT-84kRD4oDgAz _1SoDWGr_FVsil9klRfjnhb"> <li><a class="sc-htpNat bUhGXt link authors" href="//www.newsama.com/publish-research/authors/" aria-label="Authors"><img alt="" class="sc-EHOje jRIjVn" title="" role="presentation" src="data:image/svg+xml;base64,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" height="14">作者</一个></li> <li><a class="sc-htpNat bUhGXt link editors" href="//www.newsama.com/publish-research/editors/" aria-label="Editors"><img alt="" class="sc-EHOje jRIjVn" title="" role="presentation" src="data:image/svg+xml;base64,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" height="14">编辑器</一个></li> <li><a class="sc-htpNat bUhGXt link reviewers" 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