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1、多目标规划问题BYCAOMultiobjectiveOptimizationOPtim_tb.pdfP131~140选做作业：1）MATLAB中的多目标优化思路！2）多目标优化算法讨论3）有关多目标优化实例分析AlgorithmImprovementsforGoalAttainmentMethodx=fgoalattain(fun,x0,goal,weight)x=fgoalattain(fun,x0,goal,weight,A,b)x=fgoalattain(fun,x0,goal,weight,A,b,Aeq,beq
2、)x=fgoalattain(fun,x0,goal,weight,A,b,Aeq,beq,lb,ub)x=fgoalattain(fun,x0,goal,weight,A,b,Aeq,beq,lb,ub,nonlcon)x=fgoalattain(fun,x0,goal,weight,A,b,Aeq,beq,...lb,ub,nonlcon,options)x=fgoalattain(fun,x0,goal,weight,A,b,Aeq,beq,...lb,ub,nonlcon,options,P1,P2,...)[x
3、,fval]=fgoalattain(...)[x,fval,attainfactor]=fgoalattain(...)[x,fval,attainfactor,exitflag]=fgoalattain(...)[x,fval,attainfactor,exitflag,output]=fgoalattain(...)[x,fval,attainfactor,exitflag,output,lambda]=fgoalattain(...)Theargumentspassedintothefunctionaredesc
4、ribedinTable4-1.TheargumentsreturnedbythefunctionaredescribedinTable4-2.Detailsrelevanttofgoalattainareincludedbelowforfun,goal,nonlcon,options,weight,attainfactor,exitflag,lambda,andoutput.Thefunctiontobeminimized.funtakesavectorxandreturnsavectorFoftheobjective
5、functionsevaluatedatx.Youcanspecifyfuntobeaninlineobject.Forexample,fun=inline('sin(x.*x)');Alternatively,funcanbeastringcontainingthenameofafunction(anM-file,abuilt-infunction,oraMEX-file).Iffun='myfun'thentheM-filefunctionmyfun.mwouldhavetheformfunctionF=myfun(
6、x)F=...%ComputefunctionvaluesatxTomakeanobjectivefunctionasnearaspossibletoagoalvalue,(i.e.,neithergreaterthannorlessthan)setoptions.GoalsExactAchievetothenumberofobjectivesrequiredtobeintheneighborhoodofthegoalvalues.Suchobjectivesmustbepartitionedintothefirstel
7、ementsofthevectorFreturnedbyfun.Ifthegradientoftheobjectivefunctioncanalsobecomputedandoptions.GradObjis'on',assetbyoptions=optimset('GradObj','on')thenthefunctionfunmustreturn,inthesecondoutputargument,thegradientvalueG,amatrix,atx.Notethatbycheckingthevalueofna
8、rgoutthefunctioncanavoidcomputingGwhen'myfun'iscalledwithonlyoneoutputargument(inthecasewheretheoptimizationalgorithmonlyneedsthevalueofFbutnotG):function[F,G]
