WeightdependentEquilibriumSolutionforWeightedSumMultiobjectiveOptimization

WeightdependentEquilibriumSolutionforWeightedSumMultiobjectiveOptimization.pdf
AsapopularapproachtosolveMultiobjectiveOptimizationProblem(MOP),weighted-sum(WS)methodobtainsaseriesofweight-dependentParetoOptimalities(i.e.multi-objectiveglobaloptimums)formingPatetoFront.Eachpriori(preset)combinationofsingle-objective(SO)weightsstandsforacertainwaytocompromiseallofSO,e.g.apopularopinionis"Balancedweightsleadtotheequilibriumsolution".Toverifythisnotion,thispaperproposesamethodtoobtainadaptiveposterioriweightsderivedfromheuristicsearchratherthanhuman-judgedprioriweights,soastogenerateanuniqueEquilibriumPatetoOptimality(Equi-PO)outoftheParetoFrontofmultiobjective-function(MOFunc),wheremutualinterestofeverysingle-objective-function(SOFunc)isachievedtoacertain"equal"extent.ThenumericalexamplerevealthatanuniqueEqui-POisobtainablewithadaptiveweightsconvergingtowardsanuniqueend,and:(1)ForandonlyfortheWS-MOPwhoseParetoFrontissymmetrictotheEquiangularUtopiaRay,"balancedweights"resultsin"equilibriumsolution";(2)Forotherconditions,"balancedweights"can't.
作者：WUYang ZHANGZhiyong YUANJianhuaMAQing
作者单位：TrafficManagementResearchInstituteofMinistryofPublicSecurity,WuxiCity,ChinaCollaborativeInnovationCenterofModernUrbanTrafficTechnologies,NanjingCity,China
母体文献：2015第二届智能交通国际会议论文集
会议名称：2015第二届智能交通国际会议  
会议时间：2015年11月1日
会议地点：成都
主办单位：中国电子学会
语种：chi
分类号：
关键词：Weighted-SumMultiobjectiveOptimizationProblem(WS-MOP)  AdaptiveWeight  EquilibriumParetoOptimality
在线出版日期：2017年11月24日
基金项目：
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