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class="simpleShowMore__button">显示引用</button> </div> <h1 class="articleHeader__title">基于分类的任务调度算法的矿业在雾中计算环境</h1> <div class="articleHeader__authors"> <span class="articleHeader__authors_author"><strong>灵动刘</年代trong><a href="//www.newsama.com/cdn-cgi/l/email-protection" aria-label="Mail Option"><span role="img" class="anticon"> <svg version="1.0" xmlns="http://www.w3.org/2000/svg" width="1em" height="1em" viewbox="0 0 1401 1101"> <path fill="#6ba439" d="M132.5 2.1C101.4 6 71.1 20.5 48.3 42.4c-22.7 21.7-37.5 48.3-44.6 80l-2.2 10.1v837l2.2 10.1c6.7 30 19.3 53.9 39.8 75.3 23.3 24.3 56.4 40.9 90 45 12.8 1.6 1122.2 1.6 1135 0 38.9-4.8 75.9-25.6 100-56.4 15-19.3 24.2-39 29.8-63.9l2.2-10.1v-837l-2.2-10.1c-7.1-31.8-21.9-58.3-44.6-80.1-20.2-19.2-43.9-31.7-73.6-38.5l-9.6-2.3L705 1.4c-321.9-.1-568.5.2-572.5.7zm1123.4 99.5c1.7.4 3.1 1 3.1 1.4 0 .5-125.6 87.7-279 194L700.9 490.2 422 297C268.5 190.7 143 103.4 143 103c0-.5 1-1.1 2.3-1.3 3.5-.7 1107.1-.8 1110.6-.1zM401 404c164.4 113.8 299.4 207 300 207 .6 0 135.6-93.2 300.1-207 164.5-113.9 299.3-207 299.5-207 .2 0 .4 170.9.4 379.7 0 417.9.5 386-6.1 398.3-6.2 11.6-19 21.4-31.9 24.4-5.8 1.4-67.4 1.6-562 1.6s-556.2-.2-562-1.6c-12.9-3-25.7-12.8-31.9-24.4-6.6-12.3-6.1 19.6-6.1-398.3 0-208.8.2-379.7.5-379.7S236.6 290.1 401 404z"></path> </svg></span></a><a href="http://orcid.org/0000-0002-5612-8914" aria-label="Redirect to Doi" target="_blank" rel="noreferrer"><span role="img" class="anticon"> <svg xmlns="http://www.w3.org/2000/svg" viewbox="0 0 256 256" xml:space="preserve" width="1em" height="1em"> <path d="M256 128c0 70.7-57.3 128-128 128S0 198.7 0 128 57.3 0 128 0s128 57.3 128 128z" fill="#a6ce39"></path> <path d="M86.3 186.2H70.9V79.1h15.4v107.1zm22.6-107.1h41.6c39.6 0 57 28.3 57 53.6 0 27.5-21.5 53.6-56.8 53.6h-41.8V79.1zm15.4 93.3h24.5c34.9 0 42.9-26.5 42.9-39.7C191.7 111.2 178 93 148 93h-23.7v79.4zM88.7 56.8c0 5.5-4.5 10.1-10.1 10.1s-10.1-4.6-10.1-10.1c0-5.6 4.5-10.1 10.1-10.1s10.1 4.6 10.1 10.1z" fill="#fff"></path> </svg></span></a>,<年代up>1、2</年代up></span> <span class="articleHeader__authors_author">得雨气,<年代up>1</年代up></span> <span class="articleHeader__authors_author">Naqin周,<年代up>3</年代up></span> <span class="articleHeader__authors_author">和伊琳吴<年代up>2</年代up></span> </div> <div class="simpleShowMore"> <button class="simpleShowMore__button">显示更多</button> </div> <div class="articleHeader__academicEditor"> <strong>学术编辑器:</年代trong> <span>县富宏林</年代pan> </div> <div class="articleHeader__timeline"> <div class="articleHeader__timeline_item "> <strong>收到了</年代trong> <span>2018年4月28日</年代pan> </div> <div class="articleHeader__timeline_item "> <strong>修改后的</年代trong> <span>2018年6月18日</年代pan> </div> <div class="articleHeader__timeline_item "> <strong>接受</年代trong> <span>05年7月2018年</年代pan> </div> <div class="articleHeader__timeline_item articleHeader__timeline_item_sticky"> <strong>发表</年代trong> <span>2018年8月01</年代pan> </div> </div> </div> <div class="articleBody"> <div class="xml-content"> <h4 class="header" id="abstract">文摘</h4> <p>雾计算(FC)是一个新兴的模式扩展计算、通信和存储设备对网络的边缘。在这种异构和分布式环境中,资源配置是非常重要的。因此,调度将是一个挑战,以提高生产率并适当地分配资源的任务。我们安排任务在雾中基于数据挖掘分类技术的计算设备。一个关键贡献是小说分类挖掘算法I-Apriori提出了基于先验的算法。另一个贡献是,我们提出一种新颖的任务调度模型和TSFC(雾计算任务调度)算法基于I-Apriori算法。I-Apriori生成的关联规则算法结合的最小完成时间每个任务在任务集。此外,最小完成时间被选中的任务执行在雾与最小完成时间节点。我们最后评估I-Apriori和TSFC算法的性能通过实验模拟。实验结果表明,TSFC算法具有更好的性能对于减少任务的总执行时间和平均等待时间。</p> <span class="end-abs"></span> <h4 id="introduction">1。介绍</h4> <p>许多应用程序,比如健康监测应用程序或智能交通控制应用程序可能需要接收反馈在很短的时间,和延迟发送数据到云,然后返回响应从云到这些项目运营商有不良影响<a href="#B1">1</a>]。所以,2012年,提出了一种新颖的概念叫做雾Bonomi计算(<a href="#B2">2</a>]。雾计算包含大量的地理上分布的雾服务器可移动基站、接入点,网关、交换机、路由器和能力有限,相比专业计算设施,例如数据中心(<a href="#B3">3</a>- - - - - -<a href="#B5">5</a>]。在雾中计算,生成的大量数据不同的物联网(物联网)<a href="#B6">6</a>,<a href="#B7">7</a>)设备可以在网络边缘处理,而不是发送到集中的云基础设施由于带宽和能源消耗问题[<a href="#B8">8</a>]。雾计算已经成为了一种新的计算模型,为最终用户提供本地计算资源和存储,而不是云计算。</p> <p>的矛盾(<a href="#B9">9</a>,<a href="#B10">10</a>)计算密集型应用程序之间和资源有限的设备成为了瓶颈提供满意的质量的经验。这一矛盾需要解决在雾计算环境中任务调度。任务调度是广泛应用于分布式计算系统和云计算环境(<a href="#B11">11</a>,<a href="#B12">12</a>]。任务调度在雾计算是为应用程序分配适当的资源的任务。如何选择合适的资源为应用程序任务满足最小完成时间,以满足用户的服务质量(QoS)需求,提高雾计算吞吐量,并实现负载平衡调度可以被定义为在雾计算环境中任务调度问题。因此,它具有十分重要的现实意义和更高的性能在雾中实现高效的资源利用率的计算环境。</p> <p>在雾计算环境中,任务调度取决于是否有预定的任务之间的依赖关系。它可以分为独立任务调度和相关任务调度。相关任务调度通常被称为依赖任务调度(<a href="#B13">13</a>]。没有依赖关系和数据通信任务中独立任务调度(<a href="#B14">14</a>,<a href="#B15">15</a>]。依赖任务调度有一定的依赖性,任务之间的数据通信。一个典型的任务调度模型是建立在图的基础上,通常被称为任务图。最常见的任务图是有向无环图(DAG),所以依赖任务调度也叫DAG调度。</p> <p>任务计划之前,任务有两种方式到达。一个是批处理模式。所有任务到达的时候,他们被分配到相应的雾节点调度算法。另一个是在线模式。每个任务的到达时间是随机的,任务是将雾节点一旦到达RMS(资源管理系统)。任务调度的雾节点已被证明是一个np完全问题[<a href="#B16">16</a>]。任务调度是一个非常重要的研究工作方面,广泛和深入研究的研究人员<a href="#B17">17</a>]。目前,虽然许多研究成果已获得了任务调度,研究人员仍在继续探索和研究[<a href="#B18">18</a>]。研究雾调度任务的计算环境尚未完善的由于缺少雾架构,有效地管理和分配资源。我们的研究也有一个积极的影响在一些优化问题(<a href="#B19">19</a>- - - - - -<a href="#B22">22</a>]。</p> <p>剩下的纸是组织如下。节<a href="#sec2">2</a>我们描述了相关的研究工作。节<a href="#sec3">3</a>,我们介绍了分类挖掘算法和一种改进I-Apriori算法。节<a href="#sec4">4</a>,我们引入一个任务调度模型、调度算法,在雾和调度过程计算。分析实验过程和实验结果的任务调度算法给出了部分<a href="#sec5">5</a>,其次是我们的结论部分<a href="#sec6">6</a>。</p> <h4 id="related-work">2。相关工作</h4> <h5 id="sec2.1">2.1。分类挖掘的相关工作</h5> <p>分类挖掘算法广泛应用于文本,图像,视频,交通、医疗、大数据等应用场景。轴平行的管线式架构的实现提出了二进制DTC (<a href="#B23">23</a>],大大提高了算法的执行时间,消耗最少的资源的区域。文献[<a href="#B24">24</a>]提出了一种快速、准确的数据分类方法,可以从一组可能小学习分类规则的记录已经分类了。该方法是基于所谓的逻辑分析框架的数据(小伙子)。该算法的准确性和稳定性比标准的小伙子算法。介绍了序列分类(<a href="#B25">25</a>)使用规则组成的有趣的模式在数据集的标签序列和相关的类中发现的标签。他们测量模式在一个特定类的有趣结合序列的凝聚力和模式的支持。他们使用发现的模式来生成自信分类规则和现在的两种不同的方式建立一个分类器。算法发现代表序列的模式也被证明是更有效的比其他机器学习算法的分类任务。自动文本分类的贝叶斯分类方法使用职业专用特性提出了在<a href="#B26">26</a>]。与传统的文本分类方法,该方法为每个类选择一个特定的特征子集。算法的一个显著的意义是,大多数特征选择标准等信息增益(IG)和最大的歧视(MD)可以很容易地整合到算法中。与其他算法相比,它表明,算法是有效的,并进一步指出其广泛的潜在应用在数据挖掘。另外,我们将该算法应用到其他领域,如无视RAM (<a href="#B27">27</a>,<a href="#B28">28</a>),字符串映射(<a href="#B29">29日</a>],和匹配问题[<a href="#B30">30.</a>]。</p> <h5 id="sec2.2">2.2。独立任务调度的相关工作</h5> <p>为大规模的环境,例如,云计算系统中,也有无数的调度方法提出目标达到更好的任务执行时间的云资源(<a href="#B31">31日</a>]。独立任务调度算法主要包括特定算法(<a href="#B32">32</a>),满足算法(<a href="#B32">32</a>],敏敏算法[<a href="#B33">33</a>],极大极小算法[<a href="#B33">33</a>),PMM算法和遗传算法。MCT(最小完成时间)算法分配每个任务的处理器内核以任意顺序最早导致任务完成时间。它使一些任务无法分配给最快的处理器核心。大都会(最小执行时间)算法为每个任务分配一个处理器核心以任意顺序最小化任务的执行时间。与特定算法,满足算法不考虑处理器内核的准备时间,这可能会导致严重的负载不平衡在处理器核心。敏敏算法计算所有非常规任务的最小完成时间第一,然后选择最低的任务完成时间和任务分配到处理器核心,可以最小化完工时间,多次重复这个过程,直到所有任务计划。一样的特定算法,敏敏算法也是基于最小完成时间。敏敏算法认为不是所有的任务安排,但其特定算法只考虑一个任务。极大极小算法与敏敏算法类似,也计算最小完成时间没有安排任务首先然后选择任务最大与最小完成时间和任务分配到处理器内核最小完成时间。PMM(优先级敏敏)算法是敏敏的改进算法。 It does not choose the smallest task with the earliest complete time, but it selects<年代vg height="9.49473pt" id="M1" 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" id="g113-108"></path> </g> </svg>与较小的最早完成时间和任务安排优先级最高的任务<年代vg height="9.49473pt" id="M2" 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)"> <use xlink:href="#g113-108"></use> </g> </svg>任务。PMM算法需要在每个处理器核心任务的标准偏差的优先任务。标准偏差越高,任务优先级越高。</p> <p>一方面,现有的文献分类算法决策树算法和贝叶斯分类算法适用于不同的应用场景。另一方面,结合云计算、分布式计算、大数据、语法进化(<a href="#B38">34</a>,<a href="#B39">35</a>),和其他技术,研究人员专注于如何优化和提高分类算法的性能。在任务调度,一些研究者应用分类挖掘算法调度任务。</p> <h4 id="classification-data-mining">3所示。数据挖掘分类</h4> <h5 id="sec3.1">3.1。概述</h5> <p>分类挖掘算法(<a href="#B36">36</a>数据挖掘的关键技术。监督学习算法,它是基于现有的训练数据集建立一个模型来预测新数据集的类别。能找到分类规则和预测新数据类型通过分析训练数据集。一个分类挖掘算法包括两个阶段的建筑模型建模阶段和使用阶段。在第一阶段,分析了现有的训练数据集,并建立相应的模型,然后生成分类规则。在第二阶段,分类新数据集的基础上,构建分类模型。</p> <p>主要分类挖掘算法包括随机决定森林(<a href="#B37">37</a>),决策树算法、贝叶斯算法,遗传算法,人工神经网络算法<a href="#B38">34</a>),基于关联规则的分类算法。分类算法广泛应用于无线传感器网络、网络入侵检测、通话记录,银行的风险评估。在本文中,介绍了基于关联规则的分类算法和先验的算法改进和评估。</p> <h5 id="sec3.2">3.2。挖掘模型</h5> <p>先验的(<a href="#B39">35</a>,<a href="#B40">38</a>,<a href="#B41">39</a>)是一个经典的基于关联规则的分类算法(CBA)。它通过一个迭代过程生成频繁项集。先验的算法包括两个步骤。首先,它发现频繁项集从一个已知的交易频率是通过修剪大于或等于最小支持度阈值和连接操作的频繁项集。然后,它基于频繁项集产生关联规则和最小程度的信心。</p> <p>改进的关联规则挖掘模型中实现两个步骤。<年代vg height="11.5564pt" id="M3" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 15.3928 11.5564" width="15.3928pt" xmlns="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="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,-0.013,4.498,0)"> <path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z" id="g113-50"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.738,0)"> <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>首先,事务数据库<年代vg height="8.68572pt" id="M4" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 10.095 8.68572" width="10.095pt" xmlns="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="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z" id="g113-69"></path> </g> </svg>扫描存储事务识别<我>TID</我>为每个项目集,1-itemset候选人<年代vg height="11.8174pt" id="M5" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 13.6974 11.8174" width="13.6974pt" xmlns="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="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z" id="g113-68"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.132)"> <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>是生成的。删除的项集<年代vg height="11.8174pt" id="M6" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 13.6974 11.8174" width="13.6974pt" xmlns="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="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg>小于最小支持度阈值,得到的频繁1-itemsets<年代pan class="nowrap"> <svg height="11.8174pt" id="M7" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 13.3712 11.8174" width="13.3712pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z" id="g113-77"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.294,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg>。</年代pan> <svg height="11.5564pt" id="M8" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 15.3928 11.5564" width="15.3928pt" xmlns="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="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.498,0)"> <path d="M412 140C382 77 369 73 315 73H129L270 222C362 320 402 379 402 466C402 571 322 635 234 635C177 635 130 609 99 576L42 495L64 475C90 514 133 568 201 568C274 568 318 519 318 435C318 349 255 267 193 193C144 135 87 78 32 23V0H405C417 45 427 89 440 131L412 140Z" id="g113-51"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.738,0)"> <use xlink:href="#g113-42"></use> </g> </svg>循环的执行过程,直到完成<年代vg height="11.927pt" id="M9" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 21.2721 11.927" width="21.2721pt" xmlns="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,-0.0091,8.294,3.132)"> <path d="M485 418C485 434 469 451 441 451C389 451 312 387 255 335C221 304 194 278 159 242H157L259 678C264 698 264 710 255 710C242 710 183 681 96 673L90 643L128 642C165 641 171 640 162 602L24 -5L31 -12C51 -4 81 4 110 9L145 181C154 195 180 220 205 242C233 170 263 106 291 53C318 1 335 -12 360 -12C383 -12 425 0 483 82L463 105C437 79 411 57 400 57C388 57 378 68 355 110C329 156 288 244 268 298C299 333 355 376 405 376C426 376 440 373 448 368C453 365 465 368 468 373C477 386 485 405 485 418Z" id="g50-108"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,12.926,3.132)"> <path d="M300 253H71L57 198H286L300 253Z" id="g190-46"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,16.178,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg>是空的。首先,让<年代vg height="11.927pt" id="M10" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 21.2721 11.927" width="21.2721pt" xmlns="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,-0.0091,8.294,3.132)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,12.926,3.132)"> <use xlink:href="#g190-46"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,16.178,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg>和<年代vg height="11.927pt" id="M11" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 21.2721 11.927" width="21.2721pt" xmlns="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,-0.0091,8.294,3.132)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,12.926,3.132)"> <use xlink:href="#g190-46"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,16.178,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg>连接生成候选项集<年代pan class="nowrap"> <svg height="11.927pt" id="M12" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 13.8983 11.927" width="13.8983pt" xmlns="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="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.132)"> <use xlink:href="#g50-108"></use> </g> </svg>。</年代pan>其次,可以通过一个新的事务标识符列表的交集事务标识符列表,的计算项集可以直接获得通过<年代pan class="nowrap"> <svg height="11.927pt" id="M13" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 13.8983 11.927" width="13.8983pt" xmlns="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="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.132)"> <use xlink:href="#g50-108"></use> </g> </svg>。</年代pan>第三,比较的计数<年代vg height="11.927pt" id="M14" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 13.8983 11.927" width="13.8983pt" xmlns="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="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.132)"> <use xlink:href="#g50-108"></use> </g> </svg>最小支持度阈值<我>min_sup</我>,储备项目集超过或等于最小支持度阈值<我>min_sup</我>和删除的项集;然后最后的频繁项集<年代vg height="8.68572pt" id="M15" 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)"> <use xlink:href="#g113-77"></use> </g> </svg>是生成的。</p> <h5 id="sec3.3">3.3。改进的关联规则挖掘算法</h5> <p>在生产的过程中频繁项集的先验的算法,有两个因素影响算法的性能。首先,它需要扫描原始事务数据库每次生成频繁<我>k</我>项集,所以扫描事务数据库的数量太多,从而导致算法性能的下降。其次,树切割的过程中,该算法需要扫描的候选人<我>k</我>1集候选项目集。因此,该算法扫描多次项集;它还会导致算法性能的下降。针对上面的问题,我们改进过程中的频繁项集算法和一种改进I-Apriori算法基于先验的算法。I-Apriori算法在算法描述如下<a href="//www.newsama.com/journals/wcmc/2018/2102348/alg1/" target="_blank">1</a>。</p> <div class="floats-partial-section"> <div class="floats-partial-content"> <table class="algorithm-group"> <tbody> <tr> <td> <table class="algorithm" id="alg1"> <tbody> <tr> <td colspan="2">1输入:事务数据库<我>D</我>;<我>min_sup</我></td> </tr> <tr> <td colspan="2">2输出:频繁项集<我>l</我></td> </tr> <tr> <td colspan="2">3<我>C</我><sub>1</年代ub>= find_candidate_1-itemsets (<我>D</我>);</td> </tr> <tr> <td colspan="2">4 int<我>数</我>= TID的数量<我>D</我>;</td> </tr> <tr> <td colspan="2">为每个项目集5<我>年代</我>的<我>C</我><sub>1</年代ub> <svg height="11.5564pt" id="M16" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 6.80666 11.5564" width="6.80666pt" xmlns="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="M293 -169V-141C218 -131 209 -90 209 -44C209 19 222 85 222 152C222 207 198 255 139 269V273C199 286 222 334 222 388C222 454 209 523 209 588C209 632 218 671 293 681V709C234 709 148 695 148 577C147 513 155 438 155 372C155 337 152 291 64 285V256C152 250 155 204 155 169C156 105 148 31 148 -41C148 -157 234 -169 293 -169Z" id="g113-124"></path> </g> </svg></td> </tr> <tr> <td colspan="2">6<年代pan style="margin-left:1.1111111111111112em"></span><i>年代</我>.item-set =<我>年代</我>;</td> </tr> <tr> <td colspan="2">7<年代pan style="margin-left:1.1111111111111112em"></span><i>年代</我>.count =数<我>年代</我>在<我>C</我><sub>1</年代ub>;</td> </tr> <tr> <td colspan="2">8<我>年代</我>.tid-list =所有TID包含的集合<我>年代</我>;</td> </tr> <tr> <td colspan="2">9如果<我>年代</我>.count<年代vg height="7.88973pt" id="M17" style="vertical-align:-0.6370101pt" version="1.1" viewbox="-0.0498162 -7.25272 7.75925 7.88973" 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="M512 -3V55L134 254V256L512 456V514L75 281V230L512 -3Z" id="g117-91"></path> </g> </svg><i>min_sup</我> <svg height="6.01072pt" id="M18" style="vertical-align:-0.04980993pt" version="1.1" viewbox="-0.0498162 -5.96091 7.75925 6.01072" 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="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> </svg><i>数</我></td> </tr> <tr> <td colspan="2">10<年代pan style="margin-left:1.1111111111111112em"></span>删除<我>年代</我>在<我>C</我><sub>1</年代ub>;</td> </tr> <tr> <td colspan="2">11<年代vg height="11.5564pt" id="M19" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 6.80666 11.5564" width="6.80666pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,2.179,0)"> <path d="M283 255V284C195 290 192 337 192 375C192 436 200 508 200 580C200 696 116 709 54 709V681C127 671 139 634 139 588C138 524 125 452 125 387C125 333 149 286 209 272V268C148 253 125 206 125 151C126 87 139 16 139 -47C139 -92 127 -131 54 -141V-169C115 -169 200 -152 200 -41C200 32 192 104 192 164C192 202 195 249 283 255Z" id="g113-126"></path> </g> </svg></td> </tr> <tr> <td colspan="2">12<我>l</我><sub>1</年代ub>=<我>C</我><sub>1</年代ub>;</td> </tr> <tr> <td colspan="2">13 (<我>k</我>= 2;<年代vg height="11.927pt" id="M20" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 21.2721 11.927" width="21.2721pt" xmlns="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,-0.0091,8.294,3.132)"> <path d="M485 418C485 434 469 451 441 451C389 451 312 387 255 335C221 304 194 278 159 242H157L259 678C264 698 264 710 255 710C242 710 183 681 96 673L90 643L128 642C165 641 171 640 162 602L24 -5L31 -12C51 -4 81 4 110 9L145 181C154 195 180 220 205 242C233 170 263 106 291 53C318 1 335 -12 360 -12C383 -12 425 0 483 82L463 105C437 79 411 57 400 57C388 57 378 68 355 110C329 156 288 244 268 298C299 333 355 376 405 376C426 376 440 373 448 368C453 365 465 368 468 373C477 386 485 405 485 418Z" id="g50-108"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,12.926,3.132)"> <path d="M300 253H71L57 198H286L300 253Z" id="g190-46"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,16.178,3.132)"> <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>≠<年代pan class="nowrap"> <svg height="9.24682pt" id="M21" style="vertical-align:-0.6109209pt" version="1.1" viewbox="-0.0498162 -8.6359 6.36303 9.24682" width="6.36303pt" xmlns="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="M411 648L381 663L349 596C321 620 285 635 241 635C89 635 35 457 35 312C35 217 55 118 102 56L63 -24L92 -43L128 29C157 3 194 -12 240 -12C390 -12 443 166 443 312C443 406 424 507 374 569L411 648ZM141 132C126 185 119 247 119 312C119 465 149 601 239 601C278 601 305 577 321 542L141 132ZM338 497C355 434 360 373 360 312C360 159 329 21 240 21C202 21 174 47 157 85L338 497Z" id="g113-25"></path> </g> </svg>;</年代pan><i>k</我>+ +)<年代vg height="11.5564pt" id="M22" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 6.80666 11.5564" width="6.80666pt" xmlns="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="M293 -169V-141C218 -131 209 -90 209 -44C209 19 222 85 222 152C222 207 198 255 139 269V273C199 286 222 334 222 388C222 454 209 523 209 588C209 632 218 671 293 681V709C234 709 148 695 148 577C147 513 155 438 155 372C155 337 152 291 64 285V256C152 250 155 204 155 169C156 105 148 31 148 -41C148 -157 234 -169 293 -169Z" id="g113-124"></path> </g> </svg></td> </tr> <tr> <td colspan="2">14<年代pan style="margin-left:1.1111111111111112em"></span>为每个项目集<我>l</我><sub>1</年代ub>在<年代vg height="12.5794pt" id="M23" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 27.9792 12.5794" width="27.9792pt" xmlns="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,-0.0091,8.294,3.132)"> <path d="M485 418C485 434 469 451 441 451C389 451 312 387 255 335C221 304 194 278 159 242H157L259 678C264 698 264 710 255 710C242 710 183 681 96 673L90 643L128 642C165 641 171 640 162 602L24 -5L31 -12C51 -4 81 4 110 9L145 181C154 195 180 220 205 242C233 170 263 106 291 53C318 1 335 -12 360 -12C383 -12 425 0 483 82L463 105C437 79 411 57 400 57C388 57 378 68 355 110C329 156 288 244 268 298C299 333 355 376 405 376C426 376 440 373 448 368C453 365 465 368 468 373C477 386 485 405 485 418Z" id="g50-108"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,12.926,3.132)"> <path d="M300 253H71L57 198H286L300 253Z" id="g190-46"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,16.178,3.132)"> <path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z" id="g50-50"></path> </g> <g transform="matrix(.013,0,0,-0.013,21.141,0)"> <path d="M293 -169V-141C218 -131 209 -90 209 -44C209 19 222 85 222 152C222 207 198 255 139 269V273C199 286 222 334 222 388C222 454 209 523 209 588C209 632 218 671 293 681V709C234 709 148 695 148 577C147 513 155 438 155 372C155 337 152 291 64 285V256C152 250 155 204 155 169C156 105 148 31 148 -41C148 -157 234 -169 293 -169Z" id="g113-124"></path> </g> </svg></td> </tr> <tr> <td colspan="2">15<年代pan style="margin-left:1.8888888888888888em"></span>为每个项目集<我>l</我><sub>2</年代ub>在<年代vg height="12.5794pt" id="M24" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 27.9792 12.5794" width="27.9792pt" xmlns="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,-0.0091,8.294,3.132)"> <path d="M485 418C485 434 469 451 441 451C389 451 312 387 255 335C221 304 194 278 159 242H157L259 678C264 698 264 710 255 710C242 710 183 681 96 673L90 643L128 642C165 641 171 640 162 602L24 -5L31 -12C51 -4 81 4 110 9L145 181C154 195 180 220 205 242C233 170 263 106 291 53C318 1 335 -12 360 -12C383 -12 425 0 483 82L463 105C437 79 411 57 400 57C388 57 378 68 355 110C329 156 288 244 268 298C299 333 355 376 405 376C426 376 440 373 448 368C453 365 465 368 468 373C477 386 485 405 485 418Z" id="g50-108"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,12.926,3.132)"> <path d="M300 253H71L57 198H286L300 253Z" id="g190-46"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,16.178,3.132)"> <path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z" id="g50-50"></path> </g> <g transform="matrix(.013,0,0,-0.013,21.141,0)"> <path d="M293 -169V-141C218 -131 209 -90 209 -44C209 19 222 85 222 152C222 207 198 255 139 269V273C199 286 222 334 222 388C222 454 209 523 209 588C209 632 218 671 293 681V709C234 709 148 695 148 577C147 513 155 438 155 372C155 337 152 291 64 285V256C152 250 155 204 155 169C156 105 148 31 148 -41C148 -157 234 -169 293 -169Z" id="g113-124"></path> </g> </svg></td> </tr> <tr> <td colspan="2">16<年代pan style="margin-left:2.6666666666666665em"></span><i>c</我>=<我>l</我><sub>1</年代ub><i>⋈l</我><sub>2</年代ub>;</td> </tr> <tr> <td colspan="2">17<年代pan style="margin-left:2.6666666666666665em"></span><i>c</我>.tid-list =<我>l</我><sub>1</年代ub>.tid-list<年代vg height="7.30254pt" id="M25" style="vertical-align:-0.04981995pt" version="1.1" viewbox="-0.0498162 -7.25272 7.75925 7.30254" 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="M574 0L325 548H263L14 0H76L293 479H295L512 0H574Z" id="g117-63"></path> </g> </svg><i>l</我><sub>2</年代ub>.tid-list;</td> </tr> <tr> <td colspan="2">18<年代pan style="margin-left:2.6666666666666665em"></span><i>c</我>TID在.count =计数<我>c</我>.tid-list;</td> </tr> <tr> <td colspan="2">19<年代pan style="margin-left:1.6666666666666667em"></span> <svg height="11.5564pt" id="M26" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 6.80666 11.5564" width="6.80666pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,2.179,0)"> <path d="M283 255V284C195 290 192 337 192 375C192 436 200 508 200 580C200 696 116 709 54 709V681C127 671 139 634 139 588C138 524 125 452 125 387C125 333 149 286 209 272V268C148 253 125 206 125 151C126 87 139 16 139 -47C139 -92 127 -131 54 -141V-169C115 -169 200 -152 200 -41C200 32 192 104 192 164C192 202 195 249 283 255Z" id="g113-126"></path> </g> </svg></td> </tr> <tr> <td colspan="2">20.<年代pan style="margin-left:0.77777777777777779em"></span> <svg height="11.5564pt" id="M27" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 6.80666 11.5564" width="6.80666pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,2.179,0)"> <path d="M283 255V284C195 290 192 337 192 375C192 436 200 508 200 580C200 696 116 709 54 709V681C127 671 139 634 139 588C138 524 125 452 125 387C125 333 149 286 209 272V268C148 253 125 206 125 151C126 87 139 16 139 -47C139 -92 127 -131 54 -141V-169C115 -169 200 -152 200 -41C200 32 192 104 192 164C192 202 195 249 283 255Z" id="g113-126"></path> </g> </svg></td> </tr> <tr> <td colspan="2">21如果<我>c</我>.count > =<我>min_sup</我> <svg height="6.01072pt" id="M28" style="vertical-align:-0.04980993pt" version="1.1" viewbox="-0.0498162 -5.96091 7.75925 6.01072" 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="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> </svg><i>数</我></td> </tr> <tr> <td colspan="2">22<年代pan style="margin-left:1.1111111111111112em"></span>添加<我>c</我>来<年代pan class="nowrap"> <svg height="11.8631pt" id="M29" style="vertical-align:-3.227201pt" version="1.1" viewbox="-0.0498162 -8.6359 14.0262 11.8631" width="14.0262pt" xmlns="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="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z" id="g113-68"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.132)"> <path d="M523 0V30C483 33 455 48 422 83C390 115 285 234 266 263C309 314 327 333 351 357C388 392 414 404 483 415V444L273 435V405C320 400 321 392 302 364C285 339 256 300 233 277C218 262 201 250 170 243V710C130 697 73 680 22 675V647C85 642 89 637 89 570V107C89 44 83 35 14 30V0H244V30C179 35 170 41 170 107V214C176 216 181 217 186 217C194 217 203 212 216 196C273 129 333 54 384 -1L523 0Z" id="g58-105"></path> </g> </svg>;</年代pan></td> </tr> <tr> <td colspan="2">23<年代pan style="margin-left:1.1111111111111112em"></span><i>l</我><sub><i>k</我></sub>=<我>C</我><sub><i>k</我></sub>;</td> </tr> <tr> <td colspan="2">24<年代vg height="11.5564pt" id="M30" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 6.80666 11.5564" width="6.80666pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,2.179,0)"> <path d="M283 255V284C195 290 192 337 192 375C192 436 200 508 200 580C200 696 116 709 54 709V681C127 671 139 634 139 588C138 524 125 452 125 387C125 333 149 286 209 272V268C148 253 125 206 125 151C126 87 139 16 139 -47C139 -92 127 -131 54 -141V-169C115 -169 200 -152 200 -41C200 32 192 104 192 164C192 202 195 249 283 255Z" id="g113-126"></path> </g> </svg></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pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/wcmc/2018/2102348/alg1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> I-Apriori算法。</div> </div> </div> <p>在I-Apriori算法,生成候选项目集的过程<年代vg height="11.927pt" id="M31" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 13.8983 11.927" width="13.8983pt" xmlns="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="#g113-68"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.619,3.132)"> <use xlink:href="#g50-108"></use> </g> </svg>每一次,除了保存itemset和计数的支持程度,更重要的是存储事务标识符属性列表<我>Tid-list</我>。在完成项集之间的连接操作,该算法可以得到事务标识符的列表项集的计算直接通过属性<我>Tid-list</我>,不需要再次扫描事务数据库。基于上述原因,I-Apriori算法可以有效地提高性能。</p> <h5 id="sec3.4">3.4。算法评估</h5> <p>先验的算法和I-Apriori算法的效率评估基于时间复杂度和算法执行时间。</p> <h6 id="sec3.4.1">3.4.1。时间复杂度</h6> <p>假设在事务数据库中事务和项目的数量<年代vg height="8.68572pt" id="M32" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 10.095 8.68572" width="10.095pt" xmlns="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="#g113-69"></use> </g> </svg>是<年代vg height="6.1673pt" id="M33" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 6.6501 6.1673" width="6.6501pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <path d="M495 86L479 114C446 82 419 66 409 66C401 66 401 72 406 97C420 166 436 231 453 297C489 435 454 448 428 448C406 448 384 439 354 422C305 394 222 327 161 247H159L183 345C200 415 194 448 173 448C143 448 82 410 23 351L38 325C64 349 95 371 105 371C111 371 116 365 109 336L25 -4L31 -12C50 -4 77 3 107 9C119 69 132 122 145 168C197 254 321 381 370 381C387 381 393 374 378 305L329 95C309 17 320 -12 345 -12C372 -12 430 19 495 86Z" id="g113-111"></path> </g> </svg>和<我>米</我>和迭代时间频繁项集的算法<年代pan class="nowrap"> <svg height="9.49473pt" id="M34" 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)"> <use xlink:href="#g113-108"></use> </g> </svg>。</年代pan>经典的先验的算法的时间复杂度是由三层嵌套的循环,<我>apriori_gen</我>子程序和<我>has_infrequent_subset</我>子例程调用<我>apriori_gen</我>子例程的主要算法。很容易发现先天算法的时间复杂度是O (<年代vg height="11.7978pt" id="M35" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -11.5914 43.0352 11.7978" width="43.0352pt" xmlns="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="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.539,-5.741)"> <path d="M462 177V227H365V632H320C217 496 116 350 21 208V177H284V109C284 43 280 38 190 31V0H451V31C369 38 365 43 365 108V177H462ZM284 227H88C155 336 218 430 282 519H284V227Z" id="g50-53"></path> </g> <g transform="matrix(.013,0,0,-0.013,14.391,0)"> <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,-0.013,24.928,0)"> <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,-0.013,35.185,0)"> <use xlink:href="#g113-43"></use> </g> </svg><i>n</我>)。根据I-Apriori算法算法所示<a href="//www.newsama.com/journals/wcmc/2018/2102348/alg1/" target="_blank">1</a>需要,因为只有一次扫描事务数据库<我>D</我>,I-Apriori算法的时间复杂度是O (<我>米</我>+<我>n</我>+<年代vg height="11.7978pt" id="M36" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -11.5914 11.6096 11.7978" width="11.6096pt" xmlns="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="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.539,-5.741)"> <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>)。显然,O (<我>米</我>+<我>n</我>+<年代vg height="11.7978pt" id="M37" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -11.5914 11.6096 11.7978" width="11.6096pt" xmlns="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="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.539,-5.741)"> <use xlink:href="#g50-52"></use> </g> </svg>)比O (<年代vg height="11.7978pt" id="M38" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -11.5914 43.0352 11.7978" width="43.0352pt" xmlns="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="#g113-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.539,-5.741)"> <use xlink:href="#g50-53"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.391,0)"> <use xlink:href="#g113-43"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.928,0)"> <use xlink:href="#g113-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,35.185,0)"> <use xlink:href="#g113-43"></use> </g> </svg><i>n</我>)。更大的事务数据库<我>D</我>,商品的数量越多,更多的迭代,I-Apriori算法的效率就越高。</p> <h6 id="sec3.4.2">3.4.2。实验分析</h6> <p>使用Java语言实现经典的先验的算法和I-Apriori算法,分别。硬件环境是英特尔的2.5 GHz CPU、4 GB内存和操作系统Windows 7。我们相应的频繁项集生成事务数据库。</p> <p>当在事务数据库中事务的数量是200,物品的数量是20,所需的执行时间两种算法生成频繁项集在不同最小支持度(0.4 ~ 0.8)如图<a href="//www.newsama.com/journals/wcmc/2018/2102348/fig1/" target="_blank">1</a>。在事务数据库中当物品的数量是20和最小支持度是0.4和0.6(几个实验表明,算法的执行时间较长时,最小支持度为0.4,而算法具有更短的执行时间最小支持度为0.6;因此,选择0.4和0.6比较两种算法的执行时间在不同的事务数),所需的执行时间两种算法生成频繁项集在不同的事务数(50 ~ 400)如图<a href="//www.newsama.com/journals/wcmc/2018/2102348/fig2/" target="_blank">2</a>。</p> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-3a525ca39f39db6e6ebc0b4846994eef"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/wcmc/volume-2018/2102348/figures/2102348.fig.001.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-3a525ca39f39db6e6ebc0b4846994eef partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/wcmc/volume-2018/2102348/thumbnails/2102348.fig.001_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-3a525ca39f39db6e6ebc0b4846994eef partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图1</年代pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/wcmc/2018/2102348/fig1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 执行时间的比较。</div> </div> </div> </div> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-a7bc7dbaad0f66b6d78f2bdfd0ca236f"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(一)执行时间最小支持度0.4" src="https://static.hindawi.com/articles/wcmc/volume-2018/2102348/figures/2102348.fig.002a.jpg"> <br> <strong>(一)执行时间最小支持度0.4</年代trong> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(b)下执行时间最小支持度0.6" src="https://static.hindawi.com/articles/wcmc/volume-2018/2102348/figures/2102348.fig.002b.jpg"> <br> <strong>(b)下执行时间最小支持度0.6</年代trong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-a7bc7dbaad0f66b6d78f2bdfd0ca236f partial-carousel-thumbnail"> <button aria-label="Slide to (a) Execution time under the minimum support degree 0.4" class="partial-carousel-dot"><img loading="lazy" alt="(一)执行时间最小支持度0.4" src="https://static.hindawi.com/articles/wcmc/volume-2018/2102348/thumbnails/2102348.fig.002a_th.jpg"><br><strong>(一)执行时间最小支持度0.4</年代trong></button> <button aria-label="Slide to (b) Execution time under the minimum support degree 0.6" class="partial-carousel-dot"><img loading="lazy" alt="(b)下执行时间最小支持度0.6" src="https://static.hindawi.com/articles/wcmc/volume-2018/2102348/thumbnails/2102348.fig.002b_th.jpg"><br><strong>(b)下执行时间最小支持度0.6</年代trong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-a7bc7dbaad0f66b6d78f2bdfd0ca236f partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图2</年代pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/wcmc/2018/2102348/fig2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> (一)比较下的执行时间最小支持度0.4。(b)的比较下执行时间最小支持度0.6。</div> </div> </div> </div> <p>从图<a href="//www.newsama.com/journals/wcmc/2018/2102348/fig1/" target="_blank">1</a>,当先验的算法和I-Apriori算法的最小支持度很小,I-Apriori生成频繁项集的算法的执行时间小于先天的算法。与最小支持度的增加,几乎没有区别这两个算法的执行时间。当最小支持度很大,产生频繁项集的I-Apriori算法的执行时间比先天的算法。当最小支持度很小,迭代的数量更大,I-Apriori算法的效率更高。当最小支持度大、迭代的数量小,先验的算法的效率更高。因此,I-Apriori算法适用于较小的最小支持度,在分类挖掘更多的迭代。当最小支持度很小,分类挖掘的迭代次数将会增加。I-Apriori算法可以显著减少扫描事务数据库的时候,和算法的执行时间短。相反,当最小支持度大,迭代的数量将会减少。虽然I-Apriori算法也可以减少扫描事务数据库的时候,I-Apriori算法没有优势先验的算法。</p> <p>对于较小的最小支持度图<a href="//www.newsama.com/journals/wcmc/2018/2102348/fig3/" target="_blank">3</a>,当交易的数量小,先天的频繁项集生成算法的执行时间小于I-Apriori的算法。与交易的数量的增加,I-Apriori算法的效率明显高于先验的算法。对于更大的最小支持度图<a href="//www.newsama.com/journals/wcmc/2018/2102348/fig4/" target="_blank">4</a>生成频繁项集的执行时间的先验的算法比I-Apriori算法当交易的数量很小。随着交易量的增加,推测的算法比I-Apriori更高效的算法。一般来说,I-Apriori算法适用于小最小支持度和大量的事务生成频繁项集时。</p> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-665965620c04498a920563039f4e8b4f"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/wcmc/volume-2018/2102348/figures/2102348.fig.003.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-665965620c04498a920563039f4e8b4f partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/wcmc/volume-2018/2102348/thumbnails/2102348.fig.003_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-665965620c04498a920563039f4e8b4f partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图3</年代pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/wcmc/2018/2102348/fig3/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 雾计算系统架构。</div> </div> </div> </div> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-d4421fc3918a089b036253024a6d53bc"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/wcmc/volume-2018/2102348/figures/2102348.fig.004.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-d4421fc3918a089b036253024a6d53bc partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/wcmc/volume-2018/2102348/thumbnails/2102348.fig.004_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-d4421fc3918a089b036253024a6d53bc partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图4</年代pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/wcmc/2018/2102348/fig4/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 雾计算的任务调度模型。</div> </div> </div> </div> <h4 id="task-scheduling-of-fog-computing">4所示。雾计算的任务调度</h4> <p>任务调度的雾雾节点计算是安排任务有不同的计算能力,并合理地安排他们的执行顺序,这样总执行时间最短。中所有的符号使用纸表中列出<a href="//www.newsama.com/journals/wcmc/2018/2102348/tab1/" target="_blank">1</a>。</p> <div class="floats-partial-section partial-other-wrapper" data-section="tab1"> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表1</年代pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/wcmc/2018/2102348/tab1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 总结的符号。</div> <a class="table-thumb-overlay" href="//www.newsama.com/journals/wcmc/2018/2102348/tab1" target="_blank" aria-label="View full page"></a> </div> </div> <h5 id="sec4.1">4.1。雾计算系统架构</h5> <p>雾计算系统(<a href="#B42">40</a>)在一个层次结构网络三层,用图表示<a href="//www.newsama.com/journals/wcmc/2018/2102348/fig3/" target="_blank">3</a>。前端层包括物联网设备,作为用户界面发送请求的用户通过无线接入点或互联网。物联网设备总是受到严格限制他们的资源,如CPU,内存,运行时,一个非常复杂的应用程序。雾层,它是由一组影厅雾节点,接收和处理工作负载的一部分用户的请求。雾层通常是附近部署物联网终端,为用户提供有限的计算资源。用户可以直接访问计算资源在雾层,因此可以避免额外的通信延迟。云层由多个服务器或云节点。遥远的云可以提供丰富的计算资源,但它位于身体远离用户和传输延迟很大。</p> <h5 id="sec4.2">4.2。任务调度模型</h5> <p>为了实现雾计算有效的任务调度,分类算法集成到雾的任务调度过程计算。图<a href="//www.newsama.com/journals/wcmc/2018/2102348/fig4/" target="_blank">4</a>介绍了雾的任务调度模型计算。为了实现一个有效的调度过程之间的雾节点集<年代vg height="8.8423pt" id="M49" 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>和任务组<我>T</我>调度模块包含两个算法,即。,I-Apriori algorithm and TSFC (Task Scheduling in Fog Computing) algorithm. Firstly, based on the scheduling transaction set<我>D</我>节点集的关联规则和任务组由I-Apriori生成算法。其次,使用关联规则作为输入TSFC算法的任务调度的雾节点集和任务之间的关系。最后,任务调度的关系<年代vg height="8.8423pt" id="M50" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 8.28119 8.8423" width="8.28119pt" xmlns="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> </svg>是插入到调度事务组吗<年代vg height="8.68572pt" id="M51" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 10.095 8.68572" width="10.095pt" xmlns="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="#g113-69"></use> </g> </svg>为下一个任务调度提供输入数据。</p> <h5 id="sec4.3">4.3。TSFC调度算法</h5> <p>基于I-Apriori算法,TSFC算法设计和算法所示<a href="//www.newsama.com/journals/wcmc/2018/2102348/alg2/" target="_blank">2</a>。算法的基本思想是,安排任务优先级更高的任务调度关系表。表中设置这些任务的完成时间为更大的值,然后选择雾与最小完成时间节点。从剩下的任务执行一个循环选择最小完成时间安排的任务,并将选中的任务分配给雾与最小完成时间节点,直到将所有的任务。假设任务集的数量、任务和雾节点<我>k</我>,<我>n</我>,<年代pan class="nowrap"> <svg height="6.1673pt" id="M52" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 10.3951 6.1673" width="10.3951pt" xmlns="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="#g113-110"></use> </g> </svg>,</年代pan>分别TSFC算法的时间复杂度是O (<我>k</我> <svg height="11.7978pt" id="M53" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -11.5914 19.2561 11.7978" width="19.2561pt" xmlns="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="#g113-43"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.631,0)"> <use xlink:href="#g113-111"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,14.157,-5.741)"> <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>+<我>k</我> <svg height="6.1673pt" id="M54" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 21.9693 6.1673" width="21.9693pt" xmlns="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="#g113-43"></use> </g> <g transform="matrix(.013,0,0,-0.013,7.631,0)"> <use xlink:href="#g113-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.157,0)"> <use xlink:href="#g113-43"></use> </g> </svg><i>米</我>)。</p> <div class="floats-partial-section"> <div class="floats-partial-content"> <table class="algorithm-group"> <tbody> <tr> <td> <table class="algorithm" id="alg2"> <tbody> <tr> <td colspan="2">1输入:<我>时间</我><span class="nowrap"> <svg height="11.439pt" id="M55" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 31.1034 11.439" width="31.1034pt" xmlns="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="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,-0.013,4.485,0)"> <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,-0.013,11.011,0)"> <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>  <g transform="matrix(.013,0,0,-0.013,16.154,0)"> <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,-0.013,26.412,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>,</年代pan><i>R</我><span class="nowrap"> <svg height="11.439pt" id="M56" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 24.0049 11.439" width="24.0049pt" xmlns="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="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,-0.013,4.485,0)"> <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(.013,0,0,-0.013,8.918,0)"> <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>  <g transform="matrix(.013,0,0,-0.013,14.061,0)"> <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,-0.013,19.344,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>,</年代pan><i>TS</我></td> </tr> <tr> <td colspan="2">2输出:<我>结核菌素</我>,<我>AWT</我></td> </tr> <tr> <td colspan="2">3双<我>圣</我><span class="nowrap"> <svg height="11.439pt" id="M57" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 12.6656 11.439" width="12.6656pt" xmlns="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="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,-0.013,4.485,0)"> <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,-0.013,8.034,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>,</年代pan><i>英国《金融时报》</我><span class="nowrap"> <svg height="11.439pt" id="M58" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 12.6656 11.439" width="12.6656pt" xmlns="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="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,-0.013,4.485,0)"> <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,-0.013,8.034,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>,</年代pan><i>min_FT</我>,<我>Total_Time</我>,<我>时间</我>,<我>结核菌素</我>,<我>AWT</我>,<我>WT</我>;</td> </tr> <tr> <td colspan="2">4 int<我>Total_node</我>,<我>Total_Task</我>,<我>任务</我>,<我>Total_TaskSet</我>,<我>best_node_ID</我>;</td> </tr> <tr> <td colspan="2">5每taskset从阅读<我>TS</我>;</td> </tr> <tr> <td colspan="2">6 (<我>我</我>= 0;<我>我</我><<我>Total_TaskSet</我>;<我>我</我>+ +)<年代vg height="11.5564pt" id="M59" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 6.80666 11.5564" width="6.80666pt" xmlns="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="M293 -169V-141C218 -131 209 -90 209 -44C209 19 222 85 222 152C222 207 198 255 139 269V273C199 286 222 334 222 388C222 454 209 523 209 588C209 632 218 671 293 681V709C234 709 148 695 148 577C147 513 155 438 155 372C155 337 152 291 64 285V256C152 250 155 204 155 169C156 105 148 31 148 -41C148 -157 234 -169 293 -169Z" id="g113-124"></path> </g> </svg></td> </tr> <tr> <td colspan="2">7<年代pan style="margin-left:1.3333333333333333em"></span>从taskset阅读任务;</td> </tr> <tr> <td colspan="2">8<年代pan style="margin-left:1.3333333333333333em"></span>(<我>j</我>= 0;<我>j</我><<我>任务</我>;<我>j</我>+ +)<年代vg height="11.5564pt" id="M60" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 6.80666 11.5564" width="6.80666pt" xmlns="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="M293 -169V-141C218 -131 209 -90 209 -44C209 19 222 85 222 152C222 207 198 255 139 269V273C199 286 222 334 222 388C222 454 209 523 209 588C209 632 218 671 293 681V709C234 709 148 695 148 577C147 513 155 438 155 372C155 337 152 291 64 285V256C152 250 155 204 155 169C156 105 148 31 148 -41C148 -157 234 -169 293 -169Z" id="g113-124"></path> </g> </svg></td> </tr> <tr> <td colspan="2">9<年代pan style="margin-left:2.1111111111111112em"></span>(<我>k</我>= 0;<我>k</我><<我>Total_node</我>;<我>k</我>+ +)<年代vg height="11.5564pt" id="M61" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 6.80666 11.5564" width="6.80666pt" xmlns="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="M293 -169V-141C218 -131 209 -90 209 -44C209 19 222 85 222 152C222 207 198 255 139 269V273C199 286 222 334 222 388C222 454 209 523 209 588C209 632 218 671 293 681V709C234 709 148 695 148 577C147 513 155 438 155 372C155 337 152 291 64 285V256C152 250 155 204 155 169C156 105 148 31 148 -41C148 -157 234 -169 293 -169Z" id="g113-124"></path> </g> </svg></td> </tr> <tr> <td colspan="2">10<年代pan style="margin-left:3.3333333333333335em"></span>如果(<我>R</我> <svg height="12.7178pt" id="M62" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 26.3406 12.7178" width="26.3406pt" xmlns="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="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,-0.013,4.485,0)"> <path d="M394 607C394 634 378 655 350 655C315 655 294 620 294 594C294 564 314 546 339 546C372 546 394 574 394 607ZM360 349C373 414 374 448 351 448C321 448 249 404 183 338L197 313C223 336 265 367 276 367C285 367 283 355 275 313C241 129 220 23 189 -102C175 -158 153 -197 124 -197C106 -197 85 -187 70 -177C64 -173 51 -177 44 -183C34 -193 23 -209 23 -228C23 -244 46 -261 67 -261C86 -261 127 -245 181 -197C237 -147 279 -52 303 66L360 349Z" id="g113-107"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.985,0)"> <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>  <g transform="matrix(.013,0,0,-0.013,15.128,0)"> <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,-0.013,21.668,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>= 1)</td> </tr> <tr> <td colspan="2">11<年代pan style="margin-left:3.8888888888888888em"></span><i>英国《金融时报》</我> <svg height="12.7178pt" id="M63" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 14.6229 12.7178" width="14.6229pt" xmlns="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="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,-0.013,4.485,0)"> <path d="M394 607C394 634 378 655 350 655C315 655 294 620 294 594C294 564 314 546 339 546C372 546 394 574 394 607ZM360 349C373 414 374 448 351 448C321 448 249 404 183 338L197 313C223 336 265 367 276 367C285 367 283 355 275 313C241 129 220 23 189 -102C175 -158 153 -197 124 -197C106 -197 85 -187 70 -177C64 -173 51 -177 44 -183C34 -193 23 -209 23 -228C23 -244 46 -261 67 -261C86 -261 127 -245 181 -197C237 -147 279 -52 303 66L360 349Z" id="g113-107"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.985,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>=<我>时间</我><span class="nowrap"> <svg height="12.7178pt" id="M64" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 26.3406 12.7178" width="26.3406pt" xmlns="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="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,-0.013,4.485,0)"> <path d="M394 607C394 634 378 655 350 655C315 655 294 620 294 594C294 564 314 546 339 546C372 546 394 574 394 607ZM360 349C373 414 374 448 351 448C321 448 249 404 183 338L197 313C223 336 265 367 276 367C285 367 283 355 275 313C241 129 220 23 189 -102C175 -158 153 -197 124 -197C106 -197 85 -187 70 -177C64 -173 51 -177 44 -183C34 -193 23 -209 23 -228C23 -244 46 -261 67 -261C86 -261 127 -245 181 -197C237 -147 279 -52 303 66L360 349Z" id="g113-107"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.985,0)"> <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>  <g transform="matrix(.013,0,0,-0.013,15.128,0)"> <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,-0.013,21.668,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>;</年代pan></td> </tr> <tr> <td colspan="2">12<年代pan style="margin-left:2.7777777777777777em"></span>其他的</td> </tr> <tr> <td colspan="2">13<年代pan style="margin-left:3.8888888888888888em"></span><i>英国《金融时报》</我> <svg height="12.7178pt" id="M65" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 14.6229 12.7178" width="14.6229pt" xmlns="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="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,-0.013,4.485,0)"> <path d="M394 607C394 634 378 655 350 655C315 655 294 620 294 594C294 564 314 546 339 546C372 546 394 574 394 607ZM360 349C373 414 374 448 351 448C321 448 249 404 183 338L197 313C223 336 265 367 276 367C285 367 283 355 275 313C241 129 220 23 189 -102C175 -158 153 -197 124 -197C106 -197 85 -187 70 -177C64 -173 51 -177 44 -183C34 -193 23 -209 23 -228C23 -244 46 -261 67 -261C86 -261 127 -245 181 -197C237 -147 279 -52 303 66L360 349Z" id="g113-107"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.985,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>=<我>圣</我> <svg height="12.7178pt" id="M66" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 14.6229 12.7178" width="14.6229pt" xmlns="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="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,-0.013,4.485,0)"> <path d="M394 607C394 634 378 655 350 655C315 655 294 620 294 594C294 564 314 546 339 546C372 546 394 574 394 607ZM360 349C373 414 374 448 351 448C321 448 249 404 183 338L197 313C223 336 265 367 276 367C285 367 283 355 275 313C241 129 220 23 189 -102C175 -158 153 -197 124 -197C106 -197 85 -187 70 -177C64 -173 51 -177 44 -183C34 -193 23 -209 23 -228C23 -244 46 -261 67 -261C86 -261 127 -245 181 -197C237 -147 279 -52 303 66L360 349Z" id="g113-107"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.985,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>- - - - - -<我>R</我><span class="nowrap"> <svg height="12.7178pt" id="M67" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 26.3406 12.7178" width="26.3406pt" xmlns="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="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,-0.013,4.485,0)"> <path d="M394 607C394 634 378 655 350 655C315 655 294 620 294 594C294 564 314 546 339 546C372 546 394 574 394 607ZM360 349C373 414 374 448 351 448C321 448 249 404 183 338L197 313C223 336 265 367 276 367C285 367 283 355 275 313C241 129 220 23 189 -102C175 -158 153 -197 124 -197C106 -197 85 -187 70 -177C64 -173 51 -177 44 -183C34 -193 23 -209 23 -228C23 -244 46 -261 67 -261C86 -261 127 -245 181 -197C237 -147 279 -52 303 66L360 349Z" id="g113-107"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.985,0)"> <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>  <g transform="matrix(.013,0,0,-0.013,15.128,0)"> <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,-0.013,21.668,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>;</年代pan></td> </tr> <tr> <td colspan="2">14<年代pan style="margin-left:1.8888888888888888em"></span> <svg height="11.5564pt" id="M68" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 6.80666 11.5564" width="6.80666pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,2.179,0)"> <path d="M283 255V284C195 290 192 337 192 375C192 436 200 508 200 580C200 696 116 709 54 709V681C127 671 139 634 139 588C138 524 125 452 125 387C125 333 149 286 209 272V268C148 253 125 206 125 151C126 87 139 16 139 -47C139 -92 127 -131 54 -141V-169C115 -169 200 -152 200 -41C200 32 192 104 192 164C192 202 195 249 283 255Z" id="g113-126"></path> </g> </svg></td> </tr> <tr> <td colspan="2">15<年代pan style="margin-left:1.8888888888888888em"></span>找到最小<我>min_FT</我>和相应的<我>k</我>在<我>英国《金融时报》</我> <svg height="12.7178pt" id="M69" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 14.6229 12.7178" width="14.6229pt" xmlns="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="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,-0.013,4.485,0)"> <path d="M394 607C394 634 378 655 350 655C315 655 294 620 294 594C294 564 314 546 339 546C372 546 394 574 394 607ZM360 349C373 414 374 448 351 448C321 448 249 404 183 338L197 313C223 336 265 367 276 367C285 367 283 355 275 313C241 129 220 23 189 -102C175 -158 153 -197 124 -197C106 -197 85 -187 70 -177C64 -173 51 -177 44 -183C34 -193 23 -209 23 -228C23 -244 46 -261 67 -261C86 -261 127 -245 181 -197C237 -147 279 -52 303 66L360 349Z" id="g113-107"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.985,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>与任务<我>j</我>;</td> </tr> <tr> <td colspan="2">16<年代pan style="margin-left:1.8888888888888888em"></span>圣<年代vg height="11.439pt" id="M70" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 15.6668 11.439" width="15.6668pt" xmlns="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="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,-0.013,4.485,0)"> <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,-0.013,11.024,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>=圣<年代vg height="11.439pt" id="M71" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 15.6668 11.439" width="15.6668pt" xmlns="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="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,-0.013,4.485,0)"> <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,-0.013,11.024,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>+<我>min_FT</我>;</td> </tr> <tr> <td colspan="2">17<年代pan style="margin-left:1.8888888888888888em"></span>在taskset所有任务<我>我</我>从小型到大型的根据<我>英国《金融时报》</我><span class="nowrap"> <svg height="12.7178pt" id="M72" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 14.6229 12.7178" width="14.6229pt" xmlns="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="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,-0.013,4.485,0)"> <path d="M394 607C394 634 378 655 350 655C315 655 294 620 294 594C294 564 314 546 339 546C372 546 394 574 394 607ZM360 349C373 414 374 448 351 448C321 448 249 404 183 338L197 313C223 336 265 367 276 367C285 367 283 355 275 313C241 129 220 23 189 -102C175 -158 153 -197 124 -197C106 -197 85 -187 70 -177C64 -173 51 -177 44 -183C34 -193 23 -209 23 -228C23 -244 46 -261 67 -261C86 -261 127 -245 181 -197C237 -147 279 -52 303 66L360 349Z" id="g113-107"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.985,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>;</年代pan></td> </tr> <tr> <td colspan="2">18<年代pan style="margin-left:1.8888888888888888em"></span><i>圣</我> <svg height="11.439pt" id="M73" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 11.2824 11.439" width="11.2824pt" xmlns="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="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,-0.013,6.664,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>= 0;<我>英国《金融时报》</我> <svg height="11.439pt" id="M74" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 11.2824 11.439" width="11.2824pt" xmlns="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="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,-0.013,6.664,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>= 0;</td> </tr> <tr> <td colspan="2">19<年代pan style="margin-left:1.3333333333333333em"></span> <svg height="11.5564pt" id="M75" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 6.80666 11.5564" width="6.80666pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,2.179,0)"> <path d="M283 255V284C195 290 192 337 192 375C192 436 200 508 200 580C200 696 116 709 54 709V681C127 671 139 634 139 588C138 524 125 452 125 387C125 333 149 286 209 272V268C148 253 125 206 125 151C126 87 139 16 139 -47C139 -92 127 -131 54 -141V-169C115 -169 200 -152 200 -41C200 32 192 104 192 164C192 202 195 249 283 255Z" id="g113-126"></path> </g> </svg></td> </tr> <tr> <td colspan="2">20.<年代pan style="margin-left:1.3333333333333333em"></span>而(taskset<我>我</我>不是空的)<年代vg height="11.5564pt" id="M76" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 6.80666 11.5564" width="6.80666pt" xmlns="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="M293 -169V-141C218 -131 209 -90 209 -44C209 19 222 85 222 152C222 207 198 255 139 269V273C199 286 222 334 222 388C222 454 209 523 209 588C209 632 218 671 293 681V709C234 709 148 695 148 577C147 513 155 438 155 372C155 337 152 291 64 285V256C152 250 155 204 155 169C156 105 148 31 148 -41C148 -157 234 -169 293 -169Z" id="g113-124"></path> </g> </svg></td> </tr> <tr> <td colspan="2">21<年代pan style="margin-left:1.8888888888888888em"></span>选择任务<我>t</我><sub><i>任务</我></sub>最大的<我>英国《金融时报》</我> <svg height="12.7178pt" id="M77" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 14.6229 12.7178" width="14.6229pt" xmlns="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="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,-0.013,4.485,0)"> <path d="M394 607C394 634 378 655 350 655C315 655 294 620 294 594C294 564 314 546 339 546C372 546 394 574 394 607ZM360 349C373 414 374 448 351 448C321 448 249 404 183 338L197 313C223 336 265 367 276 367C285 367 283 355 275 313C241 129 220 23 189 -102C175 -158 153 -197 124 -197C106 -197 85 -187 70 -177C64 -173 51 -177 44 -183C34 -193 23 -209 23 -228C23 -244 46 -261 67 -261C86 -261 127 -245 181 -197C237 -147 279 -52 303 66L360 349Z" id="g113-107"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.985,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>在taskset;</td> </tr> <tr> <td colspan="2">22<年代pan style="margin-left:1.8888888888888888em"></span>如果<我>t</我><sub><i>任务</我></sub>=零</td> </tr> <tr> <td colspan="2">23<年代pan style="margin-left:2.6666666666666665em"></span>打破;</td> </tr> <tr> <td colspan="2">24<年代pan style="margin-left:1.8888888888888888em"></span>选择最小的节点<我>英国《金融时报》</我> <svg height="12.7178pt" id="M78" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 14.6229 12.7178" width="14.6229pt" xmlns="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="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,-0.013,4.485,0)"> <path d="M394 607C394 634 378 655 350 655C315 655 294 620 294 594C294 564 314 546 339 546C372 546 394 574 394 607ZM360 349C373 414 374 448 351 448C321 448 249 404 183 338L197 313C223 336 265 367 276 367C285 367 283 355 275 313C241 129 220 23 189 -102C175 -158 153 -197 124 -197C106 -197 85 -187 70 -177C64 -173 51 -177 44 -183C34 -193 23 -209 23 -228C23 -244 46 -261 67 -261C86 -261 127 -245 181 -197C237 -147 279 -52 303 66L360 349Z" id="g113-107"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.985,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>的<我>t</我><sub><i>任务</我></sub>并返回<我>best_node_ID</我>;</td> </tr> <tr> <td colspan="2">25<年代pan style="margin-left:1.8888888888888888em"></span><i>WT</我>=<我>WT</我>+<我>圣</我> <svg height="11.439pt" id="M79" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 4.60146 11.439" width="4.60146pt" xmlns="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="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z" id="g113-92"></path> </g> </svg><i>best_node_ID</我><span class="nowrap"> <svg height="11.439pt" id="M80" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 4.60146 11.439" width="4.60146pt" xmlns="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="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>;</年代pan></td> </tr> <tr> <td colspan="2">26<年代pan style="margin-left:1.8888888888888888em"></span><i>圣</我> <svg height="11.439pt" id="M81" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 4.60146 11.439" width="4.60146pt" xmlns="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="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z" id="g113-92"></path> </g> </svg><i>best_node_ID</我> <svg height="11.439pt" id="M82" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 4.60146 11.439" width="4.60146pt" xmlns="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="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>=<我>英国《金融时报》</我> <svg height="11.439pt" id="M83" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 4.60146 11.439" width="4.60146pt" xmlns="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="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z" id="g113-92"></path> </g> </svg><i>best_nodee_ID</我><span class="nowrap"> <svg height="11.439pt" id="M84" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 4.60146 11.439" width="4.60146pt" xmlns="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="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>;</年代pan></td> </tr> <tr> <td colspan="2">27<年代pan style="margin-left:1.8888888888888888em"></span>删除<我>t</我><sub><i>任务</我></sub>;</td> </tr> <tr> <td colspan="2">28<年代pan style="margin-left:1.8888888888888888em"></span><i>任务</我>=<我>任务</我>1;</td> </tr> <tr> <td colspan="2">29日<年代pan style="margin-left:1.8888888888888888em"></span>重新计算每个<我>英国《金融时报》</我> <svg height="12.7178pt" id="M85" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 14.6229 12.7178" width="14.6229pt" xmlns="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="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,-0.013,4.485,0)"> <path d="M394 607C394 634 378 655 350 655C315 655 294 620 294 594C294 564 314 546 339 546C372 546 394 574 394 607ZM360 349C373 414 374 448 351 448C321 448 249 404 183 338L197 313C223 336 265 367 276 367C285 367 283 355 275 313C241 129 220 23 189 -102C175 -158 153 -197 124 -197C106 -197 85 -187 70 -177C64 -173 51 -177 44 -183C34 -193 23 -209 23 -228C23 -244 46 -261 67 -261C86 -261 127 -245 181 -197C237 -147 279 -52 303 66L360 349Z" id="g113-107"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.985,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>剩下的任务;</td> </tr> <tr> <td colspan="2">30.<年代pan style="margin-left:1.8888888888888888em"></span>在taskset所有任务<我>我</我>从小型到大型的根据<我>英国《金融时报》</我><span class="nowrap"> <svg height="12.7178pt" id="M86" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 14.6229 12.7178" width="14.6229pt" xmlns="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="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,-0.013,4.485,0)"> <path d="M394 607C394 634 378 655 350 655C315 655 294 620 294 594C294 564 314 546 339 546C372 546 394 574 394 607ZM360 349C373 414 374 448 351 448C321 448 249 404 183 338L197 313C223 336 265 367 276 367C285 367 283 355 275 313C241 129 220 23 189 -102C175 -158 153 -197 124 -197C106 -197 85 -187 70 -177C64 -173 51 -177 44 -183C34 -193 23 -209 23 -228C23 -244 46 -261 67 -261C86 -261 127 -245 181 -197C237 -147 279 -52 303 66L360 349Z" id="g113-107"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.985,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>;</年代pan></td> </tr> <tr> <td colspan="2">31日<年代pan style="margin-left:1.3333333333333333em"></span> <svg height="11.5564pt" id="M87" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 6.80666 11.5564" width="6.80666pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,2.179,0)"> <path d="M283 255V284C195 290 192 337 192 375C192 436 200 508 200 580C200 696 116 709 54 709V681C127 671 139 634 139 588C138 524 125 452 125 387C125 333 149 286 209 272V268C148 253 125 206 125 151C126 87 139 16 139 -47C139 -92 127 -131 54 -141V-169C115 -169 200 -152 200 -41C200 32 192 104 192 164C192 202 195 249 283 255Z" id="g113-126"></path> </g> </svg></td> </tr> <tr> <td colspan="2">32<年代pan style="margin-left:1.3333333333333333em"></span>写作最大的圣<年代vg height="12.7178pt" id="M88" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 14.6229 12.7178" width="14.6229pt" xmlns="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="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,-0.013,4.485,0)"> <path d="M394 607C394 634 378 655 350 655C315 655 294 620 294 594C294 564 314 546 339 546C372 546 394 574 394 607ZM360 349C373 414 374 448 351 448C321 448 249 404 183 338L197 313C223 336 265 367 276 367C285 367 283 355 275 313C241 129 220 23 189 -102C175 -158 153 -197 124 -197C106 -197 85 -187 70 -177C64 -173 51 -177 44 -183C34 -193 23 -209 23 -228C23 -244 46 -261 67 -261C86 -261 127 -245 181 -197C237 -147 279 -52 303 66L360 349Z" id="g113-107"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.985,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg>来<我>时间</我>所有的任务;</td> </tr> <tr> <td colspan="2">33<年代pan style="margin-left:1.3333333333333333em"></span><i>Total_Time</我>=<我>Total_Time</我>+<我>时间</我>;</td> </tr> <tr> <td colspan="2">34<年代pan style="margin-left:1.3333333333333333em"></span><i>Total_Task</我>=<我>Total_Task</我>+<我>任务</我>;</td> </tr> <tr> <td colspan="2">35<年代pan style="margin-left:1.3333333333333333em"></span><i>结核菌素</我>=<我>Total_Time</我>;</td> </tr> <tr> <td colspan="2">36<年代pan style="margin-left:1.3333333333333333em"></span><i>AWT</我>=<我>WT</我> <svg height="11.439pt" id="M89" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 5.47571 11.439" width="5.47571pt" xmlns="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="M368 703H309L44 -163H104L368 703Z" id="g113-48"></path> </g> </svg><i>Total_Task</我>;</td> </tr> <tr> <td colspan="2">37<年代vg height="11.5564pt" id="M90" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 6.80666 11.5564" width="6.80666pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,2.179,0)"> <path d="M283 255V284C195 290 192 337 192 375C192 436 200 508 200 580C200 696 116 709 54 709V681C127 671 139 634 139 588C138 524 125 452 125 387C125 333 149 286 209 272V268C148 253 125 206 125 151C126 87 139 16 139 -47C139 -92 127 -131 54 -141V-169C115 -169 200 -152 200 -41C200 32 192 104 192 164C192 202 195 249 283 255Z" id="g113-126"></path> </g> </svg></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pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/wcmc/2018/2102348/alg2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> TSFC算法。</div> </div> </div> <h5 id="sec4.4">4.4。调度过程的分析</h5> <p>为了理解和分析TSFC算法,一个完整的案例是用于分析TSFC算法的调度过程。我们分析的整个过程雾计算的任务调度算法。假设任务集<年代vg height="9.01194pt" id="M91" 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" id="g113-85"></path> </g> </svg>包含10个任务和节点集<年代vg height="8.8423pt" id="M92" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 8.8162 8.8423" width="8.8162pt" xmlns="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="#g113-68"></use> </g> </svg>包括4雾节点;也就是说,<我>n</我>= 10,<我>米</我>= 4。执行时间矩阵<我>时间</我><span class="inline_break"> <svg height="11.439pt" id="M93" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 13.975 11.439" width="13.975pt" xmlns="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="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,-0.013,4.485,0)"> <use xlink:href="#g113-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.011,0)"> <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="11.439pt" style="vertical-align:-2.15067pt" version="1.1" viewbox="16.1041838 -9.28833 14.949 11.439" width="14.949pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,16.154,0)"> <use xlink:href="#g113-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,26.412,0)"> <path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z" id="g113-94"></path> </g> </svg></span>任务组<年代vg height="9.01194pt" id="M94" 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)"> <use xlink:href="#g113-85"></use> </g> </svg>和节点集<年代vg height="8.8423pt" id="M95" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 8.8162 8.8423" width="8.8162pt" xmlns="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="#g113-68"></use> </g> </svg>表所示<a href="//www.newsama.com/journals/wcmc/2018/2102348/tab2/" target="_blank">2</a>。</p> <div class="floats-partial-section partial-other-wrapper" data-section="tab2"> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表2</年代pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/wcmc/2018/2102348/tab2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 执行时间矩阵<年代pan class="inline_break"> <svg height="11.439pt" id="M96" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 13.975 11.439" width="13.975pt" xmlns="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="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.485,0)"> <use xlink:href="#g113-111"></use> </g> <g transform="matrix(.013,0,0,-0.013,11.011,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="11.439pt" style="vertical-align:-2.15067pt" version="1.1" viewbox="16.1041838 -9.28833 14.949 11.439" width="14.949pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,16.154,0)"> <use xlink:href="#g113-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,26.412,0)"> <use xlink:href="#g113-94"></use> </g> </svg></span>任务组<我>T</我>与雾节点集<我>N</我>。</div> <a class="table-thumb-overlay" href="//www.newsama.com/journals/wcmc/2018/2102348/tab2" target="_blank" aria-label="View full page"></a> </div> </div> <p>(1)数据库事务。事务组<我>D</我> <svg height="11.439pt" id="M97" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 15.6015 11.439" width="15.6015pt" xmlns="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="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.485,0)"> <path d="M475 445L452 468C423 436 401 426 385 426S352 427 305 436C268 443 216 448 185 448C156 448 128 425 102 382C89 360 77 338 64 304L89 291C117 340 143 380 190 380C214 380 268 376 295 373C320 370 344 371 362 374L70 101C32 65 23 36 23 18C23 5 27 -3 31 -8C36 -8 39 -6 42 -1C52 15 67 31 80 40S110 49 143 33C195 8 257 -20 290 -20C339 -20 382 11 439 129L416 148C366 74 334 55 305 55C278 55 236 68 203 81C169 94 141 100 122 96C205 170 348 308 411 376L475 445Z" id="g113-123"></path> </g> <g transform="matrix(.013,0,0,-0.013,10.96,0)"> <use xlink:href="#g113-94"></use> </g> </svg>表所示<a href="//www.newsama.com/journals/wcmc/2018/2102348/tab3/" target="_blank">3</a>。每个任务之间的调度信息<年代vg height="9.01194pt" id="M98" 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)"> <use xlink:href="#g113-85"></use> </g> </svg>和雾节点集<年代vg height="8.8423pt" id="M99" 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)"> <use xlink:href="#g113-79"></use> </g> </svg>存储为一个事务信息。一个布尔值用于描述是否任务或节点计划。布尔真值代表任务或节点计划。相反,错误的布尔值代表或节点不是预定的任务。此外,它假定事务设置<年代vg height="8.68572pt" id="M100" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 10.095 8.68572" width="10.095pt" xmlns="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="#g113-69"></use> </g> </svg>包含10个交易;也就是说,<我>z</我>= 10。</p> <div class="floats-partial-section partial-other-wrapper" data-section="tab3"> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表3</年代pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/wcmc/2018/2102348/tab3/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 事务数据库。</div> <a class="table-thumb-overlay" href="//www.newsama.com/journals/wcmc/2018/2102348/tab3" target="_blank" aria-label="View full page"></a> </div> </div> <p>(2)分类挖掘。事务数据库<年代vg height="8.68572pt" id="M101" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 10.095 8.68572" width="10.095pt" xmlns="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="#g113-69"></use> </g> </svg>用作I-Apriori算法的输入,最小支持度<我>min_sup</我>= 0.5。频繁项集<年代pan class="nowrap"> <svg height="12.4698pt" id="M102" style="vertical-align:-3.18147pt" version="1.1" viewbox="-0.0498162 -9.28833 16.2549 12.4698" width="16.2549pt" xmlns="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="M293 -169V-141C218 -131 209 -90 209 -44C209 19 222 85 222 152C222 207 198 255 139 269V273C199 286 222 334 222 388C222 454 209 523 209 588C209 632 218 671 293 681V709C234 709 148 695 148 577C147 513 155 438 155 372C155 337 152 291 64 285V256C152 250 155 204 155 169C156 105 148 31 148 -41C148 -157 234 -169 293 -169Z" id="g113-124"></path> </g> <g transform="matrix(.013,0,0,-0.013,4.511,0)"> <path d="M600 480C600 590 528 650 384 650H143L137 622C222 614 225 607 210 531L130 127C113 41 106 36 23 28L17 0H294L300 28C204 36 195 42 212 127L243 284L314 263C327 263 339 263 352 264C465 271 600 337 600 480ZM508 481C508 351 402 304 329 304C289 304 265 311 250 317L295 559C302 594 310 606 323 611C335 616 350 619 367 619C455 619 508 573 508 481Z" id="g113-81"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,11.167,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg>,</年代pan><span class="nowrap"> <svg height="11.927pt" id="M103" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 11.727 11.927" width="11.727pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <path d="M245 635C92 635 37 457 37 312C37 149 91 -12 244 -12C395 -12 449 166 449 312C449 469 395 635 245 635ZM243 598C332 598 358 454 358 312C358 173 334 26 245 26C158 26 128 174 128 313S152 598 243 598Z" id="g50-49"></path> </g> </svg>,</年代pan><span class="nowrap"> <svg height="11.927pt" id="M104" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 11.727 11.927" width="11.727pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <use xlink:href="#g50-52"></use> </g> </svg>,</年代pan> <svg height="12.5794pt" id="M105" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 13.9584 12.5794" width="13.9584pt" xmlns="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="M453 623H65C60 580 56 530 46 472H80C103 538 110 548 175 548H389C310 380 195 168 90 0L98 -12L175 -2C273 206 366 408 462 610L453 623Z" id="g50-56"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.314,0)"> <path d="M283 255V284C195 290 192 337 192 375C192 436 200 508 200 580C200 696 116 709 54 709V681C127 671 139 634 139 588C138 524 125 452 125 387C125 333 149 286 209 272V268C148 253 125 206 125 151C126 87 139 16 139 -47C139 -92 127 -131 54 -141V-169C115 -169 200 -152 200 -41C200 32 192 104 192 164C192 202 195 249 283 255Z" id="g113-126"></path> </g> </svg>和<年代pan class="nowrap"> <svg height="12.4698pt" id="M106" style="vertical-align:-3.18147pt" version="1.1" viewbox="-0.0498162 -9.28833 16.2549 12.4698" width="16.2549pt" xmlns="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="#g113-124"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.511,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,11.167,3.132)"> <use xlink:href="#g50-51"></use> </g> </svg>,</年代pan><span class="nowrap"> <svg height="11.927pt" id="M107" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 11.727 11.927" width="11.727pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <use xlink:href="#g50-49"></use> </g> </svg>,</年代pan><span class="nowrap"> <svg height="11.927pt" id="M108" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 11.727 11.927" width="11.727pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <use xlink:href="#g50-52"></use> </g> </svg>,</年代pan> <svg height="12.5794pt" id="M109" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 13.9584 12.5794" width="13.9584pt" xmlns="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="#g50-56"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.314,0)"> <use xlink:href="#g113-126"></use> </g> </svg>由I-Apriori生成算法。关联规则<年代vg height="11.1049pt" id="M110" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.81382 9.43046 11.1049" 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="#g50-56"></use> </g> </svg>= ><年代pan class="inline_break"> <svg height="11.927pt" id="M111" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 22.139 11.927" width="22.139pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.508,0)"> <path d="M574 548H512L295 69H293L76 548H14L263 0H325L574 548Z" id="g117-64"></path> </g> </svg><span class="ibiop"></span> <svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="24.994183800000002 -8.6359 22.139 11.927" width="22.139pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,25.044,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,31.7,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,39.552,0)"> <use xlink:href="#g117-64"></use> </g> </svg><span class="ibiop"></span> <svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="50.039183799999996 -8.6359 11.834 11.927" width="11.834pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,50.089,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,56.745,3.132)"> <use xlink:href="#g50-52"></use> </g> </svg></span>(最小的信心度= 0.833)<年代vg height="11.1049pt" id="M112" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.81382 9.43046 11.1049" 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="#g50-56"></use> </g> </svg>= ><年代pan class="inline_break"> <svg height="11.927pt" id="M113" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 22.139 11.927" width="22.139pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <use xlink:href="#g50-51"></use> </g> <g transform="matrix(.013,0,0,-0.013,14.508,0)"> <use xlink:href="#g117-64"></use> </g> </svg><span class="ibiop"></span> <svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="24.994183800000002 -8.6359 22.139 11.927" width="22.139pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,25.044,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,31.7,3.132)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,39.552,0)"> <use xlink:href="#g117-64"></use> </g> </svg><span class="ibiop"></span> <svg height="11.927pt" style="vertical-align:-3.291101pt" version="1.1" viewbox="50.039183799999996 -8.6359 11.834 11.927" width="11.834pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,50.089,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,56.745,3.132)"> <use xlink:href="#g50-52"></use> </g> </svg></span>(信心度= 1.0)生成与最低程度的信心<我>min_conf</我>= 0.8。</p> <p>(3)任务调度关系表。根据I-Apriori生成的关联规则算法,调度任务集和雾节点集之间的关系如表所示<a href="//www.newsama.com/journals/wcmc/2018/2102348/tab4/" target="_blank">4</a>。在任务调度关系表<我>R</我><span class="inline_break"> <svg height="11.439pt" id="M114" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 11.882 11.439" width="11.882pt" xmlns="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="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.485,0)"> <use xlink:href="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.918,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="11.439pt" style="vertical-align:-2.15067pt" version="1.1" viewbox="14.0111838 -9.28833 15.594 11.439" width="15.594pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,14.061,0)"> <use xlink:href="#g113-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.972,0)"> <use xlink:href="#g113-94"></use> </g> </svg></span>,有三种价值的任务<年代vg height="11.1049pt" id="M115" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.81382 7.53969 11.1049" width="7.53969pt" xmlns="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="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>雾对应节点<年代pan class="nowrap"> <svg height="14.1649pt" id="M116" style="vertical-align:-5.529pt" version="1.1" viewbox="-0.0498162 -8.6359 11.2064 14.1649" width="11.2064pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <path d="M400 606C400 634 383 656 353 656C316 656 294 620 294 593C294 564 317 545 343 545C375 545 400 573 400 606ZM366 351C379 413 381 451 356 451C323 451 251 408 183 341L199 313C223 335 267 365 277 365C285 365 284 354 277 312C245 132 222 27 193 -100C182 -148 160 -188 131 -188C113 -188 90 -178 75 -170C64 -164 55 -168 48 -175C38 -185 24 -203 24 -222S48 -257 71 -257C89 -257 131 -241 186 -192C243 -141 286 -46 310 74L366 351Z" id="g50-107"></path> </g> </svg>。</年代pan>在第一种情况下,如果这个任务<年代vg height="11.1049pt" id="M117" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.81382 7.53969 11.1049" width="7.53969pt" xmlns="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="#g50-106"></use> </g> </svg>和雾节点<年代vg height="14.1649pt" id="M118" style="vertical-align:-5.529pt" version="1.1" viewbox="-0.0498162 -8.6359 11.2064 14.1649" width="11.2064pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <use xlink:href="#g50-107"></use> </g> </svg>不出现在关联规则,每一行对应于任务的价值<年代vg height="11.1049pt" id="M119" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.81382 7.53969 11.1049" width="7.53969pt" xmlns="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="#g50-106"></use> </g> </svg>=−1。在第二种情况下,如果任务<年代vg height="11.1049pt" id="M120" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.81382 7.53969 11.1049" width="7.53969pt" xmlns="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="#g50-106"></use> </g> </svg>和雾节点<年代vg height="14.1649pt" id="M121" style="vertical-align:-5.529pt" version="1.1" viewbox="-0.0498162 -8.6359 11.2064 14.1649" width="11.2064pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <use xlink:href="#g50-107"></use> </g> </svg>出现在关联规则,然后计算任务的信心程度<年代vg height="11.1049pt" id="M122" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.81382 7.53969 11.1049" width="7.53969pt" xmlns="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="#g50-106"></use> </g> </svg>在雾中节点<年代pan class="nowrap"> <svg height="14.1649pt" id="M123" style="vertical-align:-5.529pt" version="1.1" viewbox="-0.0498162 -8.6359 11.2064 14.1649" width="11.2064pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <use xlink:href="#g50-107"></use> </g> </svg>。</年代pan>让啧啧的信心程度<年代vg height="11.1049pt" id="M124" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.81382 7.53969 11.1049" width="7.53969pt" xmlns="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="#g50-106"></use> </g> </svg>对应于每个雾节点<年代vg height="14.1649pt" id="M125" style="vertical-align:-5.529pt" version="1.1" viewbox="-0.0498162 -8.6359 11.2064 14.1649" width="11.2064pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <use xlink:href="#g50-107"></use> </g> </svg>是<我>tP</我><sub>k</年代ub>(<我>k<我>∈</我></i>(<年代pan class="inline_break"> <svg height="11.439pt" id="M126" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 9.204 11.439" width="9.204pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,6.24,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="11.439pt" style="vertical-align:-2.15067pt" version="1.1" viewbox="11.333183799999999 -9.28833 14.932 11.439" width="14.932pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,11.383,0)"> <use xlink:href="#g113-110"></use> </g> <g transform="matrix(.013,0,0,-0.013,21.64,0)"> <use xlink:href="#g113-94"></use> </g> </svg></span>),任务的价值<年代vg height="11.1049pt" id="M127" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.81382 7.53969 11.1049" width="7.53969pt" xmlns="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="#g50-106"></use> </g> </svg>和雾节点<年代vg height="14.1649pt" id="M128" style="vertical-align:-5.529pt" version="1.1" viewbox="-0.0498162 -8.6359 11.2064 14.1649" width="11.2064pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <use xlink:href="#g50-107"></use> </g> </svg>等于<年代vg height="16.1874pt" id="M129" style="vertical-align:-3.943501pt" version="1.1" viewbox="-0.0498162 -12.2439 72.1967 16.1874" width="72.1967pt" xmlns="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,-0.013,4.303,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,12.37,3.132)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.013,0,0,-0.013,17.518,0)"> <path d="M368 703H309L44 -163H104L368 703Z" id="g113-48"></path> </g> <g transform="matrix(.013,0,0,-0.013,25.058,.007)"> <path d="M697 -46L668 -39C637 -126 611 -142 545 -142H163L474 298L206 694H483C558 694 584 688 600 668C615 651 627 625 639 580L667 585L655 739H70V714L378 254L53 -203V-228H655L697 -46Z" id="g119-65"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,34.844,-6.394)"> <path d="M781 91L765 118C733 86 702 70 693 70C686 70 685 77 692 106L738 297C772 439 736 451 712 451S675 445 647 431C605 410 526 356 452 257H450L459 294C491 426 459 451 429 451C403 451 386 445 361 431C312 404 239 343 170 253H168L188 333C208 411 205 451 175 451C148 451 85 417 24 346L39 318C57 338 100 374 112 374C120 374 122 372 115 339C91 226 62 112 28 -6L37 -12C59 -4 87 3 114 6C125 68 142 127 154 168C184 227 316 383 372 383C397 383 396 366 381 289C362 192 338 92 312 -6L317 -12C339 -5 367 3 396 6L434 170C468 234 598 383 650 383C668 383 676 369 664 319L609 90C593 23 600 -12 629 -12C654 -12 722 23 781 91Z" id="g50-110"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,42.17,-6.394)"> <path d="M556 236V289H56V236H556Z" id="g54-33"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,47.73,-6.394)"> <use xlink:href="#g50-50"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,34.844,3.784)"> <use xlink:href="#g50-108"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,39.476,3.784)"> <path d="M556 331V384H55V331H556ZM556 140V193H55V140H556Z" id="g54-34"></path> </g> <g transform="matrix(.0091,0,0,-0.0091,45.036,3.784)"> <use xlink:href="#g50-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,54.904,0)"> <path d="M298 36L289 62C276 55 253 45 228 45C202 45 169 60 169 141V397H276C289 405 292 426 282 437H169V574L155 576L90 509V437H45L17 408L21 397H90V107C90 28 125 -12 188 -12C198 -12 213 -8 230 1L298 36Z" id="g121-114"></path> </g> <g transform="matrix(.013,0,0,-0.013,58.869,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,66.935,3.132)"> <use xlink:href="#g50-108"></use> </g> </svg>在任务调度关系表<我>R</我><span class="inline_break"> <svg height="11.439pt" id="M130" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 11.882 11.439" width="11.882pt" xmlns="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="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.485,0)"> <use xlink:href="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.918,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="11.439pt" style="vertical-align:-2.15067pt" version="1.1" viewbox="14.0111838 -9.28833 15.594 11.439" width="15.594pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,14.061,0)"> <use xlink:href="#g113-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.972,0)"> <use xlink:href="#g113-94"></use> </g> </svg></span>。例如,调度值之间的关系<年代vg height="11.1049pt" id="M131" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.81382 9.43046 11.1049" 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="#g50-56"></use> </g> </svg>和<年代vg height="11.8174pt" id="M132" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 11.727 11.8174" width="11.727pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg>是<年代vg height="11.5564pt" id="M133" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 248.138 11.5564" width="248.138pt" xmlns="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="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z" id="g113-49"></path> </g> <g transform="matrix(.013,0,0,-0.013,6.24,0)"> <path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z" id="g113-47"></path> </g> <g transform="matrix(.013,0,0,-0.013,9.204,0)"> <path d="M249 635C141 635 70 555 70 471C70 401 114 353 179 316C143 294 106 267 90 252C68 231 45 202 45 157C45 50 130 -12 237 -12C322 -12 435 52 435 169C435 256 372 304 303 343C349 374 375 398 383 407C401 429 411 458 411 487C411 569 344 635 249 635ZM238 603C285 603 337 567 337 482C337 422 310 385 276 358C205 393 145 426 145 500C145 552 179 603 238 603ZM248 20C183 20 125 70 125 163C125 218 158 268 206 300C284 261 355 217 355 143C355 66 308 20 248 20Z" id="g113-57"></path> </g> <g transform="matrix(.013,0,0,-0.013,15.444,0)"> <path d="M285 378C315 398 338 416 353 432C373 451 384 474 384 503C384 579 325 635 236 635H235C182 635 136 610 108 579L65 516L85 496C110 533 150 575 205 575C258 575 300 543 300 481C300 407 232 369 141 339L147 310C163 315 188 321 211 321C268 321 338 284 338 192C338 94 288 40 217 40C160 40 119 68 93 91C85 98 77 97 69 91C60 84 47 71 46 58C44 46 48 35 62 22C75 10 116 -12 162 -12C234 -12 424 62 424 224C424 297 373 359 285 376V378Z" id="g113-52"></path> </g> <g transform="matrix(.013,0,0,-0.013,21.684,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,27.924,0)"> <use xlink:href="#g113-48"></use> </g> <g transform="matrix(.013,0,0,-0.013,33.286,0)"> <use xlink:href="#g113-41"></use> </g> <g transform="matrix(.013,0,0,-0.013,37.784,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,44.024,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,46.988,0)"> <use xlink:href="#g113-57"></use> </g> <g transform="matrix(.013,0,0,-0.013,53.228,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,59.468,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,68.614,0)"> <path d="M535 230V280H323V490H265V280H52V230H265V-3H323V230H535Z" id="g117-36"></path> </g> <g transform="matrix(.013,0,0,-0.013,79.15,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,85.39,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,88.354,0)"> <use xlink:href="#g113-57"></use> </g> <g transform="matrix(.013,0,0,-0.013,94.594,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,100.834,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,110.084,0)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,120.621,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,126.861,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,129.825,0)"> <use xlink:href="#g113-57"></use> </g> <g transform="matrix(.013,0,0,-0.013,136.065,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,142.305,0)"> <use xlink:href="#g113-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,151.555,0)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,162.091,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,168.331,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,171.295,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,180.499,0)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,191.035,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,197.275,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,200.239,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,209.443,0)"> <use xlink:href="#g117-36"></use> </g> <g transform="matrix(.013,0,0,-0.013,219.979,0)"> <use xlink:href="#g113-50"></use> </g> <g transform="matrix(.013,0,0,-0.013,226.219,0)"> <use xlink:href="#g113-47"></use> </g> <g transform="matrix(.013,0,0,-0.013,229.183,0)"> <use xlink:href="#g113-49"></use> </g> <g transform="matrix(.013,0,0,-0.013,235.481,0)"> <use xlink:href="#g113-42"></use> </g> <g transform="matrix(.013,0,0,-0.013,239.979,0)"> <use xlink:href="#g113-43"></use> </g> </svg>100 = 11.15。在最后一种情况下,相应的调度关系值等于0时雾节点没有出现在关联规则。</p> <div class="floats-partial-section partial-other-wrapper" data-section="tab4"> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表4</年代pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/wcmc/2018/2102348/tab4/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 任务和雾节点之间的关系<我>R</我> <span class="inline_break"> <svg height="11.439pt" id="M134" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 11.882 11.439" width="11.882pt" xmlns="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="#g113-92"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.485,0)"> <use xlink:href="#g113-117"></use> </g> <g transform="matrix(.013,0,0,-0.013,8.918,0)"> <use xlink:href="#g113-45"></use> </g> </svg><span class="ipunc"></span> <svg height="11.439pt" style="vertical-align:-2.15067pt" version="1.1" viewbox="14.0111838 -9.28833 15.594 11.439" width="15.594pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,14.061,0)"> <use xlink:href="#g113-79"></use> </g> <g transform="matrix(.013,0,0,-0.013,24.972,0)"> <use xlink:href="#g113-94"></use> </g> </svg></span>。</div> <a class="table-thumb-overlay" href="//www.newsama.com/journals/wcmc/2018/2102348/tab4" target="_blank" aria-label="View full page"></a> </div> </div> <p>(4)计划任务<我>TS</我>。计划任务<我>TS</我>是一个任务列表,需要安排一个实验。假设到达时间(<我>在</我><sub>我</年代ub>)的所有任务= 0。这个任务将安排如表所示<a href="//www.newsama.com/journals/wcmc/2018/2102348/tab5/" target="_blank">5</a>。</p> <div class="floats-partial-section partial-other-wrapper" data-section="tab5"> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表5</年代pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/wcmc/2018/2102348/tab5/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 计划任务<我>TS</我>。</div> <a class="table-thumb-overlay" href="//www.newsama.com/journals/wcmc/2018/2102348/tab5" target="_blank" aria-label="View full page"></a> </div> </div> <p>(5)任务调度。因为所有的任务是独立的,没有考虑任务之间的沟通成本TSFC算法。通信矩阵的每个元素的值等于0。安排任务集是基于TSFC算法与表<a href="//www.newsama.com/journals/wcmc/2018/2102348/tab2/" target="_blank">2</a>,<a href="//www.newsama.com/journals/wcmc/2018/2102348/tab4/" target="_blank">4</a>,<a href="//www.newsama.com/journals/wcmc/2018/2102348/tab5/" target="_blank">5</a>作为输入。然后,输出的执行时间(<我>结核菌素</我>)和平均等待时间(<我>AWT</我>)的计划任务。</p> <p>把第一个任务集<年代pan class="nowrap"> <svg height="12.5794pt" id="M135" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 13.9584 12.5794" width="13.9584pt" xmlns="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="#g113-124"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.511,0)"> <use xlink:href="#g113-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.879,3.132)"> <use xlink:href="#g50-49"></use> </g> </svg>,</年代pan><span class="nowrap"> <svg height="10.9953pt" id="M136" 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pan><span class="nowrap"> <svg height="11.1049pt" id="M137" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.81382 9.43046 11.1049" 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="#g50-52"></use> </g> </svg>,</年代pan> <svg height="12.5794pt" id="M138" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 13.9584 12.5794" width="13.9584pt" xmlns="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="#g50-56"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.314,0)"> <use xlink:href="#g113-126"></use> </g> </svg>的计划任务<我>TS</我>作为一个例子。任务<年代vg height="11.1049pt" id="M139" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.81382 9.43046 11.1049" 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="#g50-56"></use> </g> </svg>将雾节点首先因为这个任务吗<年代vg height="11.1049pt" id="M140" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.81382 9.43046 11.1049" 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="#g50-56"></use> </g> </svg>出现在关联规则和任务<年代vg height="11.1049pt" id="M141" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.81382 9.43046 11.1049" 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="#g50-56"></use> </g> </svg>预计在雾节点<年代vg height="11.927pt" id="M142" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 11.727 11.927" width="11.727pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <use xlink:href="#g50-49"></use> </g> </svg>或<年代pan class="nowrap"> <svg height="11.927pt" id="M143" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 11.727 11.927" width="11.727pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <use xlink:href="#g50-52"></use> </g> </svg>。</年代pan>重新计算的最低三个任务的完成时间<年代pan class="nowrap"> <svg height="12.5794pt" id="M144" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 13.9584 12.5794" width="13.9584pt" xmlns="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="#g113-124"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.511,0)"> <use xlink:href="#g113-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.879,3.132)"> <use xlink:href="#g50-49"></use> </g> </svg>,</年代pan><span class="nowrap"> <svg height="10.9953pt" id="M145" 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pan> <svg height="12.5794pt" id="M146" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 13.9584 12.5794" width="13.9584pt" xmlns="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="#g50-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.314,0)"> <use xlink:href="#g113-126"></use> </g> </svg>在任务设置1,选择任务<年代vg height="11.1049pt" id="M147" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.81382 9.43046 11.1049" 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="#g50-49"></use> </g> </svg>最大与最小完成时间计划在雾节点<年代pan class="nowrap"> <svg height="11.8174pt" id="M148" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 11.727 11.8174" width="11.727pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <use xlink:href="#g50-51"></use> </g> </svg>。</年代pan>接下来,重新计算剩余的两个任务的最小完成时间<年代pan class="nowrap"> <svg height="12.4698pt" id="M149" style="vertical-align:-3.18147pt" version="1.1" viewbox="-0.0498162 -9.28833 13.9584 12.4698" width="13.9584pt" xmlns="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="#g113-124"></use> </g> <g transform="matrix(.013,0,0,-0.013,4.511,0)"> <use xlink:href="#g113-117"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,8.879,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg>,</年代pan> <svg height="12.5794pt" id="M150" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 13.9584 12.5794" width="13.9584pt" xmlns="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="#g50-52"></use> </g> <g transform="matrix(.013,0,0,-0.013,9.314,0)"> <use xlink:href="#g113-126"></use> </g> </svg>再一次,和任务<年代vg height="10.9953pt" id="M151" 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>预计在雾节点<年代pan class="nowrap"> <svg height="11.8174pt" id="M152" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 11.727 11.8174" width="11.727pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <use xlink:href="#g50-50"></use> </g> </svg>。</年代pan>最后,任务<年代vg height="11.1049pt" id="M153" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.81382 9.43046 11.1049" 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="#g50-52"></use> </g> </svg>预计在雾节点<年代pan class="nowrap"> <svg height="11.927pt" id="M154" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 11.727 11.927" width="11.727pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g transform="matrix(.013,0,0,-0.013,0,0)"> <use xlink:href="#g113-81"></use> </g> <g transform="matrix(.0091,0,0,-0.0091,6.656,3.132)"> <use xlink:href="#g50-52"></use> </g> </svg>。</年代pan>调度任务和任务中的雾节点之间的关系设置1所示图<a href="//www.newsama.com/journals/wcmc/2018/2102348/fig5/" target="_blank">5</a>。</p> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-8bce5390a208a3f76739eef9571139ed"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/wcmc/volume-2018/2102348/figures/2102348.fig.005.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-8bce5390a208a3f76739eef9571139ed partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/wcmc/volume-2018/2102348/thumbnails/2102348.fig.005_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-8bce5390a208a3f76739eef9571139ed partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图5</年代pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/wcmc/2018/2102348/fig5/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 任务之间的调度图和雾节点。</div> </div> </div> </div> <h4 id="simulation-experiment-and-result-discussion">5。仿真实验和结果讨论</h4> <h5 id="sec5.1">5.1。实验目的</h5> <p>为了验证TSFC算法提出了,我们比较TSFC算法在相同实验条件下的性能与其他三个独立任务调度算法,MCT,满足,和敏敏。</p> <h5 id="sec5.2">5.2。模拟环境</h5> <p>基于模拟器提供的工具包SimGrid [<a href="#B43">41</a>- - - - - -<a href="#B45">43</a>),异构多处理器的仿真环境建立如下:<年代pan class="list"><span class="list-item"><span class="list-label">(1)</年代pan><span class="list-content">茎节通过高速网络互联。</年代pan></span><span class="list-item"><span class="list-label">(2)</年代pan><span class="list-content">每个雾节点同时可以执行任务执行和与其他雾通信节点没有竞争。</年代pan></span><span class="list-item"><span class="list-label">(3)</年代pan><span class="list-content">每个任务不是雾节点上抢占。</年代pan></span><span class="list-item"><span class="list-label">(4)</年代pan><span class="list-content">雾节点异构。</年代pan></span></span></p> <p>实验中使用的电脑配置如下:英特尔核心<a href="//www.newsama.com/cdn-cgi/l/email-protection" class="__cf_email__" data-cfemail="8be2bea6b8b9babbc6cbb9a5be">(电子邮件保护)</a>GHz双核处理器,8 GB的内存。实验中的雾节点的数目是4和6,分别。</p> <h5 id="sec5.3">5.3。测试数据集</h5> <p>TSFC算法的输入数据包括任务执行时间矩阵,任务调度关系表和任务。任务执行时间矩阵包括10个任务的执行时间和4雾雾节点以及10任务和6节点。每个节点的执行时间是由随机生成程序。任务调度关系表是基于任务调度模型与I-Apriori雾节点的算法。实验任务的数量从100年开始,每次增加50个任务,直到任务达到500任务的数量。</p> <h5 id="sec5.4">5.4。实验结果的讨论</h5> <h6 id="sec5.4.1">5.4.1之前。结果分析4下雾节点</h6> <p>TSFC MCT,满足,和敏敏算法用于计划任务设置下4雾节点,分别。<我>结核菌素</我>和<我>AWT</我>不同数量的任务下的四个算法如图<a href="//www.newsama.com/journals/wcmc/2018/2102348/fig6/" target="_blank">6</a>。</p> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-b378a04afca13668839e242b3b479f0d"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(一)下的执行时间比较4雾节点" src="https://static.hindawi.com/articles/wcmc/volume-2018/2102348/figures/2102348.fig.006a.jpg"> <br> <strong>(一)下的执行时间比较4雾节点</年代trong> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(b)比较4雾下的平均等待时间节点" src="https://static.hindawi.com/articles/wcmc/volume-2018/2102348/figures/2102348.fig.006b.jpg"> <br> <strong>(b)比较4雾下的平均等待时间节点</年代trong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-b378a04afca13668839e242b3b479f0d partial-carousel-thumbnail"> <button aria-label="Slide to (a) Comparison of execution time under 4 fog nodes" class="partial-carousel-dot"><img loading="lazy" alt="(一)下的执行时间比较4雾节点" src="https://static.hindawi.com/articles/wcmc/volume-2018/2102348/thumbnails/2102348.fig.006a_th.jpg"><br><strong>(一)下的执行时间比较4雾节点</年代trong></button> <button aria-label="Slide to (b) Comparison of average waiting time under 4 fog nodes" class="partial-carousel-dot"><img loading="lazy" alt="(b)比较4雾下的平均等待时间节点" src="https://static.hindawi.com/articles/wcmc/volume-2018/2102348/thumbnails/2102348.fig.006b_th.jpg"><br><strong>(b)比较4雾下的平均等待时间节点</年代trong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-b378a04afca13668839e242b3b479f0d partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图6</年代pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/wcmc/2018/2102348/fig6/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> (一)下的执行时间比较4雾节点。(b)比较4雾下的平均等待时间节点。</div> </div> </div> </div> <h6 id="sec5.4.2">5.4.2。结果分析6雾以下节点</h6> <p>TSFC MCT,满足,和敏敏算法用于调度任务组6雾以下节点,分别。调度后,<我>结核菌素</我>和<我>AWT</我>不同数量的任务下的四个算法如图<a href="//www.newsama.com/journals/wcmc/2018/2102348/fig7/" target="_blank">7</a>。</p> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-430bdf217c97fcfd4e6240ae6f76e1a1"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(一)下的执行时间比较6雾节点" src="https://static.hindawi.com/articles/wcmc/volume-2018/2102348/figures/2102348.fig.007a.jpg"> <br> <strong>(一)下的执行时间比较6雾节点</年代trong> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(b)比较6雾下的平均等待时间节点" src="https://static.hindawi.com/articles/wcmc/volume-2018/2102348/figures/2102348.fig.007b.jpg"> <br> <strong>(b)比较6雾下的平均等待时间节点</年代trong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-430bdf217c97fcfd4e6240ae6f76e1a1 partial-carousel-thumbnail"> <button aria-label="Slide to (a) Comparison of execution time under 6 fog nodes" class="partial-carousel-dot"><img loading="lazy" alt="(一)下的执行时间比较6雾节点" src="https://static.hindawi.com/articles/wcmc/volume-2018/2102348/thumbnails/2102348.fig.007a_th.jpg"><br><strong>(一)下的执行时间比较6雾节点</年代trong></button> <button aria-label="Slide to (b) Comparison of average waiting time under 6 fog nodes" class="partial-carousel-dot"><img loading="lazy" alt="(b)比较6雾下的平均等待时间节点" src="https://static.hindawi.com/articles/wcmc/volume-2018/2102348/thumbnails/2102348.fig.007b_th.jpg"><br><strong>(b)比较6雾下的平均等待时间节点</年代trong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-430bdf217c97fcfd4e6240ae6f76e1a1 partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图7</年代pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/wcmc/2018/2102348/fig7/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> (一)下的执行时间比较6节点。(b)比较6雾下的平均等待时间节点。</div> </div> </div> </div> <p>从数据我们可以看到<a href="//www.newsama.com/journals/wcmc/2018/2102348/fig6/" target="_blank">6(一)</a>和<a href="//www.newsama.com/journals/wcmc/2018/2102348/fig7/" target="_blank">7(一)</a>与任务数量的增加,的价值<我>结核菌素</我>由TSFC生成,MCT,满足,和敏敏算法正在增加。然而,的价值<我>结核菌素</我>由TSFC生成算法是小于的MCT和敏敏算法。随着任务的数量增加,TSFC算法的效率是高于MCT和敏敏算法。当任务的数量很小,的价值<我>结核菌素</我>TSFC算法生成的低于的算法。随着任务的数量增加,的价值<我>结核菌素</我>TSFC生成的算法比的算法。因为TSFC算法以任务完成时间为主要参数,随着任务的数量增加,计划任务的总完工时间将更接近最优解。</p> <p>的值<我>AWT</我>由TSFC生成,MCT,满足,和敏敏算法从数据是稳定的<a href="//www.newsama.com/journals/wcmc/2018/2102348/fig6/" target="_blank">6 (b)</a>和<a href="//www.newsama.com/journals/wcmc/2018/2102348/fig7/" target="_blank">7 (b)</a>。的价值<我>AWT</我>TSFC算法生成的不足,通过特定轴,满足,和敏敏算法(的价值<我>AWT</我>敏敏的算法如图<a href="//www.newsama.com/journals/wcmc/2018/2102348/fig6/" target="_blank">6 (b)</a>最好当任务的数量更大)。的最小值<我>AWT</我>在图TSFC生成的算法<a href="//www.newsama.com/journals/wcmc/2018/2102348/fig6/" target="_blank">6 (b)</a>只有3.7%的满足,最大的价值<我>AWT</我>只有35.1%的满足。的最小值<我>AWT</我>在图TSFC生成的算法<a href="//www.newsama.com/journals/wcmc/2018/2102348/fig7/" target="_blank">7 (b)</a>等于0。因为遇到了算法需要的最短执行时间的任务为主要调度参数,不同的任务的执行时间在同一雾节点成正比,所以它会导致大部分的任务安排在同一雾节点和导致高得多<我>AWT</我>价值。TSFC算法调度任务的最小完成时间的最小值,它缩短了任务等待时间尽可能多的价值,这样的价值<我>AWT</我>更小。</p> <p>总之,的价值<我>结核菌素</我>和<我>AWT</我>由TSFC生成算法是比MCT,满足,和敏敏算法。TSFC算法是优于MCT,满足,和敏敏算法的实验。</p> <h4 id="conclusion">6。结论</h4> <p>雾计算新模式,吸引了大量的关注。提供令人满意的计算性能是一个巨大的挑战在雾中计算环境。在本文中,我们提出了一个I-Apriori算法通过改进先验的算法。实验结果表明,该I-Apriori算法可以有效地提高频繁项集的生成效率。一种新颖的任务调度模型和雾的小说TSFC算法计算环境提出了基于I-Apriori算法。I-Apriori算法生成的关联规则是作为TSFC任务调度算法的一个重要参数。实验结果表明,TSFC算法具有更好的性能比其他类似算法的任务总执行时间和平均等待时间。</p> <p>在这篇文章中,有一些不涉及的其他问题,例如,处理器之间的带宽,在雾计算多层任务调度等。在未来的工作中,我们将探索这些领域。此外,我们将TSFC算法应用到其他领域,如无视RAM,字符串映射和匹配问题。</p> <h4 id="data-availability">数据可用性</h4> <p>所有生成的数据或分析在本研究包括在本文中。</p> <h4 id="conflicts-of-interest">的利益冲突</h4> <p>作者宣称没有利益冲突。</p> <h4 id="acknowledgments">确认</h4> <p>这项工作得到了国家自然科学基金(批准号61772205),广东省自然科学基金团队项目(批准号10351806001000000),广东省科技项目(授予号。2016 a010101018 2016 a010119171 2016 a010106007,和2016 b090927010),广东省先进和关键技术创新研究项目(批准号2014 b010110004),南沙科技项目(批准号2017 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