大理大学学报 ›› 2025, Vol. 10 ›› Issue (6): 18-24.

• 数学与计算机科学 • 上一篇    下一篇

带变异和新陈代谢混合改进的蚁群优化算法

  

  1. 铜陵职业技术学院经贸系,安徽铜陵 244061
  • 出版日期:2025-06-15 发布日期:2025-06-24
  • 作者简介:李眩,讲师,主要从事人工智能、系统工程研究。
  • 基金资助:
    安徽省教育厅科学研究基金项目(2023AH052884)

A Hybrid Ant Colony Optimization Algorithm Enhanced with Mutation and Metabolism

  1. Department of Economics and Trade, Tongling Vocational Technology College, Tongling, Anhui 244061, China
  • Online:2025-06-15 Published:2025-06-24

摘要: 普通蚁群算法存在缺陷,易陷入局部最优。为提升蚁群算法的效率,根据蚂蚁个体的寻优能力差异进行排序,并引入生物体新陈代谢机制淘汰能力差的部分个体,通过变异产生新的、更具活力的个体来替代被淘汰的个体,以此不断提升整个蚁群的寻优能力。为防止群体多样性过早丧失而早熟收敛,通过合理设置新旧更替的淘汰比例,很好地平衡算法对群体多样性和全局寻优能力的要求。将改进的蚁群算法应用于多维函数寻优,并与免疫算法、标准粒子群算法及普通蚁群算法进行对比。实验结果表明,基于变异和新陈代谢混合改进的蚁群优化算法相比普通蚁群算法和其他常见智能算法,具有更好的算法效率和全局寻优能力。

关键词: 变异, 新陈代谢, 蚁群算法, 多样性, 排序

Abstract: The conventional ant colony algorithm has certain drawbacks and is highly likely to get trapped in local optima. To enhance the efficiency of the ant colony algorithm, individual ants are ranked according to their differences in optimization capabilities. Then, the metabolism mechanism of organisms is introduced to eliminate some ants with poor capabilities. New and more vigorous individuals are generated through mutation to replace the eliminated ones, thus continuously improving the optimization capability of the entire ant colony. To avoid the premature loss of colony diversity and early convergence, the algorithm's requirements for colony diversity and global optimization-seeking ability are effectively balanced by setting a reasonable elimination rate for the replacement of
old individuals with new ones. The improved ant colony algorithm is applied to the optimization of multi-dimensional functions and
compared with the immune algorithm, the standard particle swarm optimization algorithm, and the conventional ant colony algorithm.
The experimental results demonstrate that the hybrid ant colony optimization algorithm enhanced with mutation and metabolism has
superior algorithmic efficiency and global optimization-seeking ability compared with the conventional ant colony algorithm and other
common intelligent algorithms.

Key words: mutation, metabolism, ant colony algorithm, diversity, ranking

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