计算机工程与设计2024,Vol.45Issue(9) :2874-2881.DOI:10.16208/j.issn1000-7024.2024.09.042

基于信息熵的改进蚁群算法求解TSP问题

Improved ant colony algorithm based on information entropy for solving TSP problems

杨一健 李明 方赛银
计算机工程与设计2024,Vol.45Issue(9) :2874-2881.DOI:10.16208/j.issn1000-7024.2024.09.042

基于信息熵的改进蚁群算法求解TSP问题

Improved ant colony algorithm based on information entropy for solving TSP problems

杨一健 1李明 2方赛银1
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作者信息

  • 1. 西南林业大学机械与交通学院,云南 昆明 650224
  • 2. 安徽工程大学高端装备先进感知与智能控制教育部重点实验室,安徽芜湖 241000;安徽工程大学电气工程学院,安徽芜湖 241000
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摘要

针对蚁群算法求解精度低、易陷入局部最优的缺点,提出一种基于信息熵的自适应改进蚁群算法.通过算法自身特性定义结合熵值对种群参数进行自适应优化;采用分组合作的信息素更新策略,通过较活跃性个体引导整个种群,扩大搜索范围;通过对较优路径的奖励,平衡收敛速度和搜索范围之间的关系;在种群信息熵过低时,加入局部搜索策略,进一步提高算法精度.实验结果表明,相较于蚁群算法,改进算法具有较好的求解精度以及跳出局部最优的能力.

Abstract

An adaptive improved ant colony algorithm based on information entropy was proposed for the disadvantages of low solution accuracy and easiness to fall into local optimum of ant colony algorithm.The population parameters were adaptively opti-mized by the algorithm's own characteristic definition combined with the entropy value.The pheromone updating strategy of group cooperation was used to expand the search range by guiding the whole population through more active individuals,the rela-tionship between convergence speed and search range was then balanced by rewarding the better path.When the population information entropy was too low,a local search strategy was added to further improve the accuracy of the algorithm.Experimen-tal results show that the improved algorithm has higher solution accuracy and the ability to jump out of the local optimum com-pared with the ant colony algorithm.

关键词

信息熵/蚁群算法/自适应/旅行商问题(TSP)/信息素/路径/局部搜索/种群

Key words

information entropy/ant colony algorithm/adaptive/travelling salesman problem(TSP)/information entropy/paths/local search/population

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基金项目

国家自然科学基金项目(32160345)

国家自然科学基金项目(31760182)

云南省教育厅科学研究基金项目(2021J0156)

出版年

2024
计算机工程与设计
中国航天科工集团二院706所

计算机工程与设计

CSTPCD北大核心
影响因子:0.617
ISSN:1000-7024
参考文献量8
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