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求广义线性比试和问题全局解的新方法(英文).docx

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求广义线性比试和问题全局解的新方法(英文) Title:ANewApproachtotheGeneralizedLinearProgrammingandGlobalSolutionofProblems Abstract: Inrecentyears,therehasbeenagrowinginterestinthefieldofoptimization,particularlyinthestudyofgeneralizedlinearprogrammingandglobalsolutionmethods.Thispaperaimstopresentanewapproachtosolvingtheseproblems,whichcanpotentiallyprovidemoreefficientandaccuratesolutions.Theproposedmethodcombineselementsoftraditionallinearprogrammingtechniqueswithinnovativestrategiesforhandlingcomplex,nonlinearconstraints,leadingtoimprovedglobaloptimizationoutcomes.Thepaperbeginsbyprovidinganoverviewofgeneralizedlinearprogramming,followedbyadiscussiononexistingglobalsolutionmethods.Subsequently,theproposednewapproachispresented,highlightingitsuniquefeaturesandadvantages.Finally,thepaperconcludesbydiscussingthepotentialapplicationsandfutureresearchdirectionsofthismethod. 1.Introduction: Optimizationproblemsariseinawiderangeoffields,suchaseconomics,engineering,andlogistics,wheretheobjectiveistofindthebestpossiblesolutionundergivenconstraints.However,manyreal-worldproblemsexhibitnonlinearrelationshipsthattraditionallinearprogrammingmethodscannotaccuratelycapture.Generalizedlinearprogramming(GLP)hasemergedasasolutiontohandlethesecomplexconstraints.GLPextendsthecapabilitiesoflinearprogrammingbyallowingfornonlinearfunctionsandconstraints.However,findingtheglobalsolutiontoGLPproblemsremainsachallengingtask. 2.ExistingGlobalSolutionMethods: VariousapproacheshavebeenproposedtofindglobalsolutionstoGLPproblems,includingbranchandbound,geneticalgorithms,andparticleswarmoptimization.Thesemethodsareeffectivetosomeextentbutoftensufferfromlimitationssuchashighcomputationalcomplexity,thetendencytogetstuckinlocaloptima,ordifficultyinhandlingalargenumberofdecisionvariables. 3.ProposedNewApproach: Thenewapproachpresentedinthispapercombinesthebenefitsofexistinglinearprogrammingtechniqueswithinnovativestrategies.ThekeyideaistodecomposetheGLPproblemintomultiplesubproblemsandsolvethemusinglinearprogramming.By