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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)x=fgoalattain(fun,x0,goal,weight
2、,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,fval]=fgoalattain(...)[x,fval,attainfactor]=fgoalattain(...)[x,fv
3、al,attainfactor,exitflag]=fgoalattain(...)[x,fval,attainfactor,exitflag,output]=fgoalattain(...)[x,fval,attainfactor,exitflag,output,lambda]=fgoalattain(...)TheargumentspassedintothefunctionaredescribedinTable4-1.TheargumentsreturnedbythefunctionaredescribedinTable4-2.Detailsrelevanttofgoalattai
4、nareincludedbelowforfun,goal,nonlcon,options,weight,attainfactor,exitflag,lambda,andoutput.Thefunctiontobeminimized.funtakesavectorxandreturnsavectorFoftheobjectivefunctionsevaluatedatx.Youcanspecifyfuntobeaninlineobject.Forexample,fun=inline('sin(x.*x)');Alternatively,funcanbeastringcontainingt
5、henameofafunction(anM-file,abuilt-infunction,oraMEX-file).Iffun='myfun'thentheM-filefunctionmyfun.mwouldhavetheformfunctionF=myfun(x)F=...%ComputefunctionvaluesatxTomakeanobjectivefunctionasnearaspossibletoagoalvalue,(i.e.,neithergreaterthannorlessthan)setoptions.GoalsExactAchievetothenumberofob
6、jectivesrequiredtobeintheneighborhoodofthegoalvalues.SuchobjectivesmustbepartitionedintothefirstelementsofthevectorFreturnedbyfun.Ifthegradientoftheobjectivefunctioncanalsobecomputedandoptions.GradObjis'on',assetbyoptions=optimset('GradObj','on')thenthefunctionfunmustreturn,inthesecondoutputargu
7、ment,thegradientvalueG,amatrix,atx.NotethatbycheckingthevalueofnargoutthefunctioncanavoidcomputingGwhen'myfun'iscalledwithonlyoneoutputargument(inthecasewheretheoptimizationalgorithmonlyneedsthevalueofFbutnotG):function[F,G]
