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求解TSP 问题的离散狼群算法
引用本文:吴虎胜,张凤鸣,李浩,梁晓龙.求解TSP 问题的离散狼群算法[J].控制与决策,2015,30(10):1861-1867.
作者姓名:吴虎胜  张凤鸣  李浩  梁晓龙
作者单位:1. 武警工程大学装备工程学院,西安710086;
2. 空军工程大学a. 装备管理与安全工程学院,b. 空管领航学院,西安710051.
基金项目:

国家自然科学基金项目(61472442, 61472443, 61203268);武警工程大学理论项目(WJY201511, JLX201540, JLX201503).

摘    要:

通过定义反转算子, 对人工狼位置和智能行为重新进行整数编码设计, 并结合概率近邻初始化方法, 提出一种求解旅行商问题的离散狼群算法. 该算法保留了狼群算法基于职责分工的协作式搜索特性, 并较好地平衡了算法的广度开拓和深度开采能力. 采用C-TSP 问题和TSPLIB 数据库中的多组TSP 问题作为实验用算例, 并将所提出算法与其他5 种智能优化算法进行对比, 仿真结果表明, 所提出算法在求解准确率、稳定性和所需迭代次数等方面具有相对优势.



关 键 词:

进化计算|群体智能|离散狼群算法|组合优化|旅行商问题

收稿时间:2014/7/3 0:00:00
修稿时间:2014/12/29 0:00:00

Discrete wolf pack algorithm for traveling salesman problem
WU Hu-sheng ZHANG Feng-ming LI Hao LIANG Xiao-long.Discrete wolf pack algorithm for traveling salesman problem[J].Control and Decision,2015,30(10):1861-1867.
Authors:WU Hu-sheng ZHANG Feng-ming LI Hao LIANG Xiao-long
Abstract:

Based on designing of reverse operator integer coding, the artificial wolves’ position and intelligent behaviors are redesigned. Then combined with the probabilistic nearest neighbor method, a discrete wolf pack algorithm(DWPA) is proposed to solve traveling salesman problem(TSP). The DWPA preserves the cooperative searching feature based on job distribution of the wolf pack, and makes a good balance between the searching ability in breadth and depth. Algorithm efficiency of TSP problems against five existing algorithms is examined for C-TSP and some TSPLIB instances of various sizes. Simulation results show that the DWPA has more advantages on accurate rate, computational robustness and iteration number.

Keywords:

evolutionary computation|swarm intelligence|discrete wolf pack algorithm|combinatorial optimization|traveling salesman problem

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