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基于离散灰色模型的优化方法研究(英文) Title:ResearchonOptimizationMethodsBasedonDiscreteGreyModel Abstract: Theadventofadvancedtechnologyandrapiddevelopmentsinvariousindustrieshaveledtoincreaseddemandsforoptimizationmethods.Thediscretegreymodelhasemergedasaneffectivetoolforsolvingoptimizationproblemsinvariousfields.Thisresearchaimstostudyandanalyzeoptimizationmethodsbasedonthediscretegreymodel,exploringtheirapplicationindifferentdomains. 1.Introduction Optimizationisanessentialaspectofdecision-makingprocessesinvariousfieldssuchasengineering,finance,logistics,andmanagement.Thecontinuousadvancementinoptimizationmethodshasfacilitatedbetterdecision-making,improvingefficiency,reducingcosts,andenhancingoverallperformance.Thediscretegreymodel,originatingfromgreysystemtheory,hasbeenproventobeaneffectiveandaccuratetechniqueforsolvingoptimizationproblems. 2.Background 2.1Greysystemtheory 2.2Discretegreymodel 2.3Applicationsofdiscretegreymodelinoptimization 3.Methodology 3.1Dataacquisitionandpreprocessing 3.2Discretegreymodelconstruction 3.3Optimizationalgorithmimplementation 3.4Performanceevaluationmetrics 4.OptimizationMethodsbasedonDiscreteGreyModel 4.1Discretegreymodel-basedoptimizationinengineering 4.2Discretegreymodel-basedoptimizationinfinance 4.3Discretegreymodel-basedoptimizationinlogistics 4.4Discretegreymodel-basedoptimizationinmanagement 5.CaseStudies 5.1Casestudy1:Optimizationofproductionschedulinginmanufacturingusingdiscretegreymodel 5.2Casestudy2:Portfoliooptimizationinfinanceusingdiscretegreymodel 5.3Casestudy3:Optimizationofwarehouseinventorymanagementusingdiscretegreymodel 5.4Casestudy4:Optimizationofsupplychainnetworkusingdiscretegreymodel 6.PerformanceEvaluation 6.1Comparisonwithotheroptimizationmethods 6.2Sensitivityanalysisofdiscretegreymodelparameters 6.3Robustnessanalysisofdiscretegreymodel-basedoptimization 7.Conclusion Basedontheresearchconducted,itcanbeconcludedthatoptimizationmethodsbasedonthediscretegreymodelhavesignificantpotentialinvariousdomains.Theadvantagesofth