预览加载中，请您耐心等待几秒...

基因算法在求解非光滑优化问题中的应用(英文).docx

预览
1/2
2/2

在线预览结束，喜欢就下载吧，查找使用更方便

下载提示 文本预览

如果您无法下载资料，请参考说明：

1、部分资料下载需要金币，请确保您的账户上有足够的金币

2、已购买过的文档，再次下载不重复扣费

3、资料包下载后请先用软件解压，在使用对应软件打开

基因算法在求解非光滑优化问题中的应用(英文) GeneticAlgorithmforSolvingNon-SmoothOptimizationProblems Introduction Optimizationproblemsareubiquitousinthefieldsofengineering,science,economics,andmanyotherareas.Theseproblemsaimtofindtheoptimalsolutionthatsatisfiescertainobjectivesorconstraints.Manyoptimizationproblemsincludenon-smoothconstraints,whichoftenpresentsignificantchallengesinfindingtheoptimalsolutions.Inthispaper,wewilldiscusstheapplicationofgeneticalgorithms(GAs)forsolvingnon-smoothoptimizationproblems. GeneticAlgorithm GAsareatypeofoptimizationalgorithmthatsimulatestheprocessofnaturalselectionandevolutiontofindoptimalsolutions.Similartonaturalselection,theGAprocessinvolvesgeneratingapopulationofpotentialsolutions,whichundergoesmutation,selection,andreproduction.Ineachiteration,theprocessevaluatesthefitnessofeachcandidatesolutionandgeneratesanewpopulationofcandidatesolutionswithhigherfitness.TheGAprocesscontinuesuntilitreachesasatisfactorysolutionorthemaximumnumberofiterationsisreached.GAshavebeenshowntobeeffectiveformanyoptimizationproblems,includingnon-smoothoptimizationproblems. Non-SmoothOptimizationProblems Non-smoothoptimizationproblemsrefertoproblemswheretheobjectivefunctionorconstraintsarenotdifferentiableorhavediscontinuousderivatives.Suchproblemsoftenariseinpracticalsituations,suchasincontrolsystems,signalprocessing,andfinancialengineering.Non-smoothfunctionscanhavepropertiesthatmakeoptimizationchallenging.Forexample,non-smoothfunctionsmayhavemultiplelocaloptimaorexhibitnon-convexproperties.Traditionaloptimizationalgorithmsmaybelesseffectiveinfindingoptimalsolutionsfornon-smoothproblems. GeneticAlgorithmforNon-SmoothOptimization Geneticalgorithmsareparticularlywell-suitedforsolvingnon-smoothoptimizationproblems.GAsareoftenusedinplaceoftraditionaloptimizationalgorithmsbecausetheycaneffectivelyhandlenon-smoothfunctions.GAsdonotrequiretheobjectivefunctionortheconstraintstobedifferentiable,andthealgorithmcaneasilyhandlefunctionswithdiscontinuities.Additionally,GAsareeffici