matlab多目标优化模型教程.docx

matlab多目标优化模型教程.docx

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时间:2020-03-08

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1、fgoalattainSolvemultiobjectivegoalattainmentproblemsEquationFindstheminimumofaproblemspecifiedbyx,weight,goal,b,beq,lb,andubarevectors,AandAeqarematrices,andc(x),ceq(x),andF(x)arefunctionsthatreturnvectors.F(x),c(x),andceq(x)canbenonlinearfunctions.Syntaxx=fgoalattain(fun,x0

2、,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,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)

3、x=fgoalattain(problem)[x,fval]=fgoalattain(...)[x,fval,attainfactor]=fgoalattain(...)[x,fval,attainfactor,exitflag]=fgoalattain(...)[x,fval,attainfactor,exitflag,output]=fgoalattain(...)[x,fval,attainfactor,exitflag,output,lambda]=fgoalattain(...)Descriptionfgoalattainsolves

4、thegoalattainmentproblem,whichisoneformulationforminimizingamultiobjectiveoptimizationproblem.Note  PassingExtraParametersexplainshowtopassextraparameterstotheobjectivefunctionsandnonlinearconstraintfunctions,ifnecessary.x=fgoalattain(fun,x0,goal,weight)triestomaketheobjecti

5、vefunctionssuppliedbyfunattainthegoalsspecifiedbygoalbyvaryingx,startingatx0,withweightspecifiedbyweight.x=fgoalattain(fun,x0,goal,weight,A,b)solvesthegoalattainmentproblemsubjecttothelinearinequalitiesA*x ≤ b.x=fgoalattain(fun,x0,goal,weight,A,b,Aeq,beq)solvesthegoalattainm

6、entproblemsubjecttothelinearequalitiesAeq*x=beqaswell.SetA=[]andb=[]ifnoinequalitiesexist.x=fgoalattain(fun,x0,goal,weight,A,b,Aeq,beq,lb,ub)definesasetoflowerandupperboundsonthedesignvariablesinx,sothatthesolutionisalwaysintherangelb ≤ x ≤ ub.x=fgoalattain(fun,x0,goal,weigh

7、t,A,b,Aeq,beq,lb,ub,nonlcon)subjectsthegoalattainmentproblemtothenonlinearinequalitiesc(x)ornonlinearequalityconstraintsceq(x)definedinnonlcon.fgoalattainoptimizessuchthatc(x) ≤ 0andceq(x) = 0.Setlb=[]and/orub=[]ifnoboundsexist.x=fgoalattain(fun,x0,goal,weight,A,b,Aeq,beq,lb

8、,ub,nonlcon,...options)minimizeswiththeoptimizationoptionsspecifiedinthestr

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