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A Sort & SearchSort & Search method for multicriteria optimization problems with applications to scheduling theory

机译：一种 sort＆amp; 搜索排序和搜索应用于调度理论的多轨道优化问题的方法

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Abstract > This paper focuses on the <fi>Sort & Search</fi> method to solve a particular class of single criterion optimization problems called <fi>multiple constraints problems</fi> . This general method enables to derive exponential‐time algorithms for <mat:math display="inline" altimg="urn:x-wiley:mcda:media:mcda1660:mcda1660-math-0001" wiley:location="equation/mcda1660-math-0001.png"> <mat:mi mathvariant="script">N</mat:mi> <mat:mi mathvariant="script">P</mat:mi> </mat:math> ‐hard optimization problems. In this paper, this method is further extended to the class of <fi>multicriteria multiple constraints problems</fi> for which the set of Pareto optima is enumerated. Then, the application of this new method on some multicriteria scheduling problems is proposed, leading to new exponential‐time algorithms for those problems. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><Abstract Type =“Main”XML：Lang =“EN”XML：ID =“MCDA1660-ABS-AB-0001”> <标题类型=“main”>抽象</ title> > 本文侧重于 <fi> sort＆amp;搜索</ fi> 解决特定类别的单标准优化问题的方法称为 <fi>多约束问题</ fi> 。这种通用方法可以实现指数时间算法 <mat：数学显示=“内联”Altimg =“URN：X-Wiley：MCDA：MCDA：MCDA1660：MCDA1660-Math-0001”Wiley：Location =“等式/ MCDA1660-Math-0001.png”> <mat：mi mathvariant =“script”> n </ mat：mi> <mat：mi mathvariant =“script”> p </ mat：mi> </ mat：math> - 优化问题。在本文中，该方法进一步扩展到类 <fi>多轨道多个约束问题</ fi> 枚举帕累托Optima集合。然后，提出了在一些多轨道调度问题上应用这种新方法，导致这些问题的新指数算法。 </ p> </摘要> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-35605/'>《Journal of Multi-Criteria Decision Analysis》</a> <b style="margin: 0 2px;">|</b><span>2019年第2期</span><b style="margin: 0 2px;">|</b><span>共7页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Shang Lei&option=202" target="_blank" rel="nofollow">Shang Lei;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=TKindt Vincent&option=202" target="_blank" rel="nofollow">TKindt Vincent;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Université de ToursLIFAT (EA 6300) ERL ROOT CNRS 7002 Tours France;</p> <p>Université de ToursLIFAT (EA 6300) ERL ROOT CNRS 7002 Tours France;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/44.html" title="心理学">心理学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=exponential‐time algorithms&option=203" rel="nofollow">exponential‐time algorithms;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=multicriteria optimization&option=203" rel="nofollow">multicriteria optimization;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=scheduling&option=203" rel="nofollow">scheduling;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Sort amp&option=203" rel="nofollow">Sort amp;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Search&option=203" rel="nofollow">Search;</a> </p> <div class="translation"> 机译：指数时间算法;多标准优化;调度;排序＆amp;搜索; 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