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基于策略池-扩张机制的改进遗传算法求解旅行商问题

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针对传统遗传算法(GA)在求解旅行商问题(TSP)时,因种群多样性丢失、局部搜索能力减弱导致算法寻优效率低、易早熟等问题,提出了一种基于策略池-扩张机制的改进遗传算法(SPEM-IGA).根据不同目的设计了两组策略池,为增强解的搜索深度,构造由2-opt、启发式插入、贪婪算子组成的局部搜索策略池;为扩大解的搜索范围,再将近邻插入、翻转、片段交换、循环左移算子组成全局搜索策略池.根据种群多样性水平,设计了基于策略池的随机选择机制,并使种群动态扩张,能有效改善种群的多样性,平衡算法的全局与局部搜索能力.通过精英优选保留种群中的优质个体,以加快算法收敛速度.仿真实验表明,与现有文献相比,基于策略池-扩张机制的改进遗传算法具有更好的求解精度和稳定性.
On the Improved Genetic Algorithm Based on the Strategy Pool and Expansion Mechanism for Solving Traveling Salesman Problem
Addressing the issues of low optimization efficiency and premature convergence encountered by the traditional ge-netic algorithm(GA)in solving the Traveling Salesman Problem(TSP),which are caused by the loss of population diversity and weakened local search capabilities,an improved genetic algorithm based on the strategy pool and expansion mechanism(SPEM-IGA)is proposed.Two sets of strategy pools are designed for different purposes.A local search strategy pool,consisting of 2-opt,heuristic insertion,and greedy operator,is constructed to enhance the search depth of solutions.To broaden the search scope of solutions,a global search strategy pool is formed by combining operators such as the nearest neighbor insertion,flip,seg-ment exchange,and circular left shift.Considering the level of population diversity,a random selection mechanism is designed based on the strategy pool,which dynamically expands the population,effectively improves its diversity and balances its capability for both global and local search.Superior individuals in the population are retained through elite selection to accelerate the conver-gence speed of the algorithm.Simulation experiments show that the improved genetic algorithm based on the strategy pool and ex-pansion mechanism has better solution accuracy and stability compared to the existing literature.

Traveling Salesman ProblemImproved Genetic AlgorithmThe Strategy PoolExpansion MechanismElite Selec-tion

李香薏、谭代伦

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西华师范大学数学与信息学院,四川 南充 637000

旅行商问题 改进遗传算法 策略池 扩张机制 精英优选

教育部产学合作协同育人项目四川省教育厅教改项目

202102454008JG2021-959

2024

六盘水师范学院学报
六盘水师范学院

六盘水师范学院学报

影响因子:0.271
ISSN:1671-055X
年,卷(期):2024.36(3)
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