华南理工大学学报(自然科学版) ›› 2015, Vol. 43 ›› Issue (1): 126-131,139.doi: 10.3969/j.issn.1000-565X.2015.01.020

• 计算机科学与技术 • 上一篇    下一篇

求解旅行商问题的离散人工萤火虫算法

于宏涛高立群韩希昌2   

  1.  1. 东北大学 信息科学与工程学院, 辽宁 沈阳 110819 ; 2. 沈阳工程学院 自动化学院, 辽宁 沈阳 110136 
  • 收稿日期:2014-03-24 修回日期:2014-07-14 出版日期:2015-01-25 发布日期:2014-12-01
  • 通信作者: 于宏涛(1978-),男,在职博士生,沈阳工程学院讲师,主要从事智能优化算法研究 . E-mail:neu970773@sohu.com
  • 作者简介:于宏涛(1978-),男,在职博士生,沈阳工程学院讲师,主要从事智能优化算法研究 .
  • 基金资助:

    国家自然科学基金资助项目( 61273155 );辽宁省教育厅一般项目( L2014530 )

Discrete Artificial Firefly Algorithm for Solving Traveling Salesman Problems

Yu Hong-tao1 Gao Li-qun1 Han Xi-chang2   

  1. 1.School of Information Science and Technology, Northeastern University,Shenyang 110819,Liaoning,China;2.College of Automation, Shenyang Institute of Engineering,Shenyang 110136,Liaoning,China
  • Received:2014-03-24 Revised:2014-07-14 Online:2015-01-25 Published:2014-12-01
  • Contact: 于宏涛(1978-),男,在职博士生,沈阳工程学院讲师,主要从事智能优化算法研究 . E-mail:neu970773@sohu.com
  • About author:于宏涛(1978-),男,在职博士生,沈阳工程学院讲师,主要从事智能优化算法研究 .
  • Supported by:
    Supported by the National Natural Science Foundation of China ( 61273155 )

摘要: 针对旅行商问题,提出了一种结合变邻域搜索算法思想的离散人工萤火虫算法 .文中通过引入交换子和交换序的概念对人工萤火虫算法中的距离进行了重新定义;为了增加萤火虫群的多样性,避免算法过早陷入局部最优,采用了基于变邻域搜索算法的扰动机制 . 在多个旅行商问题上的测试结果表明,与文献中的算法相比,文中提出的离散人工萤火虫算法具有较好的求解性能 .

关键词: 人工萤火虫算法, 变邻域搜索, 旅行商问题, 组合优化

Abstract:

Proposed in this paper is a discrete artificial firefly algorithm combined with variable neighborhood search algorithm, which is used to solve traveling salesman problems.First, the distance of artificial firefly algorithm is redefined by introducing the concepts of swap operator and swap sequence.Secondly, in order to increase the diversity of firefly swarms and to avoid quick convergence to local optimal solution, a perturbation mechanism is designed on the basis of variable neighborhood search algorithm.Then, several different traveling salesman problems are solved by using the proposed algorithm, and the results finally show that the proposed algorithm is superior to the typical ones in literatures because it helps obtain good solving results.

Key words: artificial firefly algorithm, variable neighborhood search, traveling salesman problem, combinatorial optimization

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