基于蚁群算法的TSP问题求解策略研究.docx

基于蚁群算法的TSP问题求解策略研究摘要TSP问题是计算机网络、路由规划中的经典问题。而蚁群优化算法作为高效的计算智能的方法，在离散优化领域有着十分广泛的应用，其中最为经典的是最优回路求解问题。因此，本文在分析蚁群算法发展现状的基础上，针对TSP问题的求解策略，来深入分析蚁群基数的设置对收敛效率的影响。最后通过MATlAB编程工具运行相关代码，并得到相应的TSP问题解。实验结果表明：随着蚁群基数的增加，TSP问题求解的时间也会线性增加；当蚁群基数大于等于TSP问题的结点个数的时候，TSP问题的解才会保持稳定且趋近于蚁群基数与节点个数相等时的TSP问题的解。关键字蚁群算法蚁群基数TSPResearchontheTSPSolutionbasedonAntColonyOptimization[Abstract]TheTSPproblemisaclassicproblemincomputernetwork,routeplanning.Andtheantcolonyoptimizationalgorithmasanefficientmethodofcomputationalintelligence,hastheextremelywidespreadapplicationinthefieldofdiscreteoptimization,themostclassicistheoptimalcircuittosolvetheproblem.Therefore,thisarticleonthebasisofanalyzingthecurrentsituationofthedevelopmentofantcolonyalgorithm,TSPproblemsolvingstrategy,toanalyzeantcolonybaseSettingsaffecttheconvergenceefficiency.FinallythroughMATlABprogrammingtoolsrunthecode,andgetthecorrespondingTSPproblemsolution.Theexperimentalresultsshowthatwiththeincreaseofbaseofantcolony,TSPproblemsolvinglineartimewillalsogrow;whenantcolonycardinalityisgreaterthanorequaltothenodenumberoftheTSPproblem,thesolutionoftheTSPproblemwillkeepstableandtendtobaseofantcolonyandTSPproblemsolutionofnodenumberisequal.[KeyWords]AntcolonyoptimizationThebaseofantcolonyTSP目录引言.............................................................1TSP问题简述及其历史........................................1TSP问题的意义及求解方法....................................1蚁群算法的前景和意义........................................2蚁群算法的产生与发展........................................2蚁群算法的现状..............................................3本文的研究内容..............................................3本文的组织结构..............................................4蚁群算法.........................................................5蚁群算法的基本原理..........................................5蚁群算法的基本流程..........................................6蚁群优化算法的改进版本......................................73实验设计与分析..................................................113.1实验假设.......................................