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1、912lEEETRANSACTIONSONRELIABILITY.VOL.44.NO.2.1995JUNEGeneticAlgorithmsinOptimizationofSystemReliabilityLauraPaintonThesystemfailureratecanbecalculatedfromthecutsetsofSandiaNationalLaboratories,Albuquerquethesystem.3JamesCampbellThemajorlimitationsinthereliabilityopt
2、imizationap-SandiaNationalLaboratories,Albuquerqueproachesthusfarare:1.Thesystemstructureisveryrigidlydefined.Allofthearticlesweexamined[l-51usedthecommonsystemofN-words-Optimization,Geneticalgorithm,Reliabilityim-stagesinwiththeoptionofaddingredundancyateachproveme
3、nt,Uncertaintyanalysisstage.Althoughthisisastart,therearemanymorecomplicatedsystemconfigurationsthatshouldbeexamined.TheproblemSummary&Conclusions-Afterinitialproduction,im-liesinthedifficultyofrepresentingmorecomplicatedstruc-provementsareoftenmadetocomponentsofasy
4、stem,toupgradeturesorrelaxingtheassumptionsinanMINLPformulation.systemperformance;forexample,whendesigningalaterversionorrelease.Thispaperpresentsanoptimizationmodelthatiden-2.MostMINLPmodelsaredeterministic.Althoughworktifiesthetypesofcomponentimprovementsandthelev
5、elofefforthasbeendoneincorporatinguncertaintyintotheproblemwithspentonthoseimprovementstomaximizeoneormoreperformancefuzzysettheory[6,7],theapproachisratherback-endedandmeasures(eg,systemreliabilityoravailability)subjecttoconstraintslooksatlevelsofuncertaintyallowed
6、intheconstraints,eg,(eg,cost)inthepresenceofuncertaintyaboutthecomponentfailure+20%onthesystem-weightconstraint.Thisthenistranslatedrates.Foreachcomponentfailuremode,somepossibleim-intoahardconstraintbyaddingalinear0.2totheconstraint,provementsareidentifiedalongwith
7、theircostandtheresultingthenusingthecommonmethodstosolveit.Itismorerealisticimprovementinfailureratesforthatfailuremode.Theobjectivetoquantifywhatisknownaboutthefront-enduncertaintiesinfunctionisdefmedasastochasticfunctionoftheperformancetheweightsofthecomponentsand
8、propagatethosetotheweightmeasureofinterest-inthiscase,5'hpercentileofthemeanofthesystem.Similarly,insteadofacceptinganuncertaintytime-betw
