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基于NSGA-Ⅱ的给水管网压力监测点多目标优化布置 Abstract Waterdistributionnetworkisacrucialpartofurbaninfrastructurethatensuresthatthecity'sresidentshaveaccesstocleanandsafewater.Anessentialaspectofwaterdistributionnetworkmanagementistheplacementofpressuremonitoringpoints.Inthispaper,weproposedanNSGA-II-basedmulti-objectiveoptimizationapproachforpressuremonitoringpointplacement,whichcombinesoptimizationofmonitoringcoverageandmeasurementaccuracy.Theproposedapproachaimstoprovideabetterinsightintopressuremonitoringpointplacementandtoimprovetheefficiencyandeffectivenessofwaterdistributionnetworkmonitoring.Theresultsofthesimulationexperimentdemonstratethattheproposedmethodoutperformsexistingmethodsintermsofsolutionqualityandcomputationalefficiency. Introduction Waterdistributionnetworkmanagementisafundamentalaspectofurbaninfrastructure.Adequatewatersupplyisessentialforthesurvival,growth,anddevelopmentofhumanbeings.Monitoringandcontrollingthewaterdistributionnetwork'spressureiscriticaltoensurewaterqualityandadequatesupplyinallareasofthecity.Thepressuremonitoringsystemcandetectthefaultsandanomaliesinthewaterdistributionnetworkandprovideinsightsintothenetwork'sbehavior. Theplacementofpressuremonitoringpoints(PMPs)inthewaterdistributionnetworkisanessentialaspectofwaternetworkmonitoring.TheappropriateplacementofPMPscanhelpdetectthenetwork'sfaults,leaksandpressurevariationandprovidetimelyalertsforappropriateresponses.TheoptimalPMPplacementshouldaimtoachieveabalancebetweenthereliabilityofmonitoringandthecostofinstallation. Inrecentyears,optimization-basedapproacheshavebeenusedtooptimizethePMPplacementinwaterdistributionnetworks.Thesemethodsmostlyfocusonoptimizingthenetwork'smonitoringcoverageoraccuracyofthemeasurements.However,theplacementofPMPsisamulti-objectiveproblemthatrequiresthesimultaneousoptimizationofmultipleobjectives.Inthisstudy,weproposeanNSGA-II-basedmulti-objectiveoptimizationapproachforPMPplacementinwaterdistributionnetworks. MaterialsandMethods Theproposedoptimizationapproachaimstoop