penalty methods in genetic algorithm for solving numerical constrained optimization problems

penalty methods in genetic algorithm for solving numerical constrained optimization problems

ID:8366456

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页数:64页

时间:2018-03-22

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1、PENALTYMETHODSINGENETICALGORITHMFORSOLVINGNUMERICALCONSTRAINEDOPTIMIZATIONPROBLEMSATHESISSUBMITTEDTOTHEGRADUATESCHOOLOFAPPLIEDSCIENCESOFNEAREASTUNIVERSITYbyMAHMOUDK.M.ABURUBInPartialFulfillmentoftheRequirementsfortheDegreeofMasterofScienceinComputerEngineerıngNICOSIA201255Iherebydeclarethatallin

2、formationinthisdocumenthasbeenobtainedandpresentedinaccordancewithacademicrulesandethicalconduct.Ialsodeclarethat,asrequiredbytheserulesandconduct,Ihavefullycitedandreferencedallmaterialandresultsthatarenotoriginaltothiswork.Name,Lastname:MAHMOUDABURUBSignature:Date:55ABSTRACTOptimizationisacomp

3、uterbasedormathematicalbasedprocessusedtofindthebestsolutionincomplicatedhyperspace.Optimizationisanimportantthemethatcanbeusedtoenhanceagivenresultor,toproveit.However,itisproportionaltotheformulationoftheprobleminhand.Optimizationisreallysimpleforsomesortofproblems,butitwillbemorecomplicatedin

4、constrainedhyperspace,whereequalityandinequalityconstraintsexist.EvolutionaryAlgorithmsareoneofthemostpowerfuloptimizationmethodsusedformanytypesofproblems.Geneticalgorithms,otherstrategiesinuse,arealsopowerfuloptimizationtools,astheyarenotinterferedwithbythecomplexityofhyperspace.Ontheotherhand

5、,theyonlyinterferewithtraitsneedtobeoptimizedbymimickingnaturalselectionandenvironmentaladaptationlikegeneticdevelopmentsprocessofanyspecies.Combininggeneticalgorithmswithoptimizationinconstraintshyperspaceisonlybyapplyingpenaltyfunctions.Iftwotypesofconstraintsareon,equality,andinequalityconstr

6、aints;convertingequalityconstraintstoinequalityformatcanbedonebysubtractingaconstantfromconstraintvalue,oftenarationalnumber.Thesatisfactionofconstraintsisthebasicconditionforsolutiontoberecognizedasvalidone.Nevertheless,notallformulatedproblemswillbesolvedbyusinganoptimizationmethod,astheycould

7、sufferfromamisunderstandingoftheproblemortheconstraintsviolations.Thisstudyfocusesonapplyinggeneticalgorithmstoconstraintsproblemsbyapplyingpenalty.Threetypesofalgorithmsareused,dynamicpenalty,staticpenaltyandstochasticranki

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