江汉大学学报(自然科学版) ›› 2018, Vol. 46 ›› Issue (4): 331-336.doi: 10.16389/j.cnki.cn42-1737/n.2018.04.008

• 计算机与信息科学 • 上一篇    下一篇

复杂约束条件下求解带权最短路径方法

杨澜1,段卓辉2,邓宏涛*1   

  1. 1. 江汉大学 数学与计算机科学学院,湖北 武汉 430056;2. 华中科技大学 服务计算技术与系统教育部重点实验室/集群与网格计算湖北省重点实验室,湖北 武汉 430074
  • 出版日期:2018-08-28 发布日期:2018-08-31
  • 通讯作者: 邓宏涛
  • 作者简介:杨澜(1993—),女,硕士生,研究方向:信息系统与电子商务。
  • 基金资助:
    湖北省教育厅科学研究计划项目(B2017265)

Method of Solving Shortest Path with Weights Under Complicated Constraints

YANG Lan1,DUAN Zhuohui2,DENG Hongtao*1   

  1. 1. School of Mathematics and Computer Science,Jianghan University,Wuhan 430056,Hubei,China;2. Services Computing Technology and System Lab\Big Data Technology and System Lab\Cluster and Grid Computing Lab\School of Computing Science and Technology,Huazhong University of Science and Technology,Wuhan 430074,Hubei ,China
  • Online:2018-08-28 Published:2018-08-31
  • Contact: DENG Hongtao

摘要: 为了解决复杂网络条件下带权最短路径问题,提出了基于压缩图的禁忌搜索算法。通过基于约束条件的图压缩算法,将复杂约束条件下的带权最短路径问题转化为旅行家问题(TSP),并通过优化禁忌搜索算法来求解复杂约束条件下带权最短路径问题。仿真结果显示,基于压缩图的禁忌搜索算法具有求解快、时间复杂度低、收敛快、对图规模和约束条件不敏感的优点。

关键词: 约束条件下带权最短路径, 剪枝, 旅行家问题, 禁忌搜索算法

Abstract: In order to solve the problem of the shortest path with weight under complex network conditions,a tabu search algorithm based on compression graphs was proposed. With the constraintbased graph compression algorithm,the weighted shortest path problem under complex constraints was transformed into travelling salesman problem(TSP),and the optimization of the tabu search algorithm was used to solve the weighted shortest path problem under complex constraints. The simulation results showed that the tabu search algorithm based on compression graph had the advantages of fast solution,low time complexity,fast convergence,and insensitivity to graph scale and constraint conditions.

Key words: weighted shortest path under constraints, pruning, travelling salesman problem, tabu search algorithm

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