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1、杭州电子科技大学硕士学位论文ABSTRACTHigh-profileoptimizationproblemshavealreadybeenpermeatedintoproduction,management,decision-making,businessandsoon.Accordingtothedeterministicofcer-tainty,optimizationproblemscanbedividedintodeterministicoptimizationproblemsanduncertainoptimizationproblems.
2、Accordingtothedifferentformsoftheparametersexpressions,uncertainoptimizationproblemscanbedividedintoStochasticProgram-ming,FuzzyProgrammingandIntervalProgramming.Stochasticprogrammingneedtogetpreciseprobabilitydistributionofrandomparameter,andfuzzyprogrammingneedtogetthemembers
3、hipfunctionsoffuzzyparameters,whichareusuallyunknown.Howeverintervalprogrammingonlyneedtoobtainthechangeboundsoftheuncertainparameterswhichareeasytoobtaininactualapplication.Thereforeinrecentyears,theprogram-mingwithintervalcoefficientshasbeenattractingmoreandmoreattentionsathom
4、eandabroad.Basedontheexistingtheoryofintervallinearprogramming,thispapermakesthefollowingwork:Chapter1,theintroductionintroducesthebasicdefinitionoftheintervalquantityandrelatedsymbolrepresentation.Thepracticalsignificanceandresearchstatusofsomerelatedissuesofintervallinearprogr
5、ammingathomeandabroadhavebeendescribedinthissection;Chapter2proposestheconstructionproblemofconstraintmatricescorrespondedbyanoptimalsolution.Andtheconstructionmethodofconstraintmatricescorrespondedbytheoptimalsolutiontovarioustypesofintervallinearprogrammingaredeveloped;Chapt
6、er3introducesthenewconceptsofoptimalsolutioninamoregeneralandunifiedframework.Andthenecessaryandsufficientconditionsforcheckingthatavectorisa(b∃,A∀,c∃)-optimalsolution,an(A∀,b∃,c∃)-optimalsolutionora(b∃,A∀,c∀)-optimalsolutionaredevelopedbytangentconeintypeAintervallinearprogrammi
7、ng;Chapter4discussestherobustoptimizationofasolutiontointervallinearprogram-ming.AndthenecessaryandsufficientconditionsforcheckingasolutionwithrobustoptimizationaredevelopedbasedontheK-Tconditions;Chapter5proposestheweakoptimalinverseproblemofintervallinearprogram-ming.Andametho
8、dforsolvingitisdeveloped;II万方数据杭州电子科技大学硕士学位论文Chapter6summariz
