湖北工业大学学报2024,Vol.39Issue(2) :17-22.

求解最小支配集问题的禁忌遗传混合算法

Hybrid Tabu Search and Genetic Algorithm for Solving Minimum Dominating Set Problem

吴歆韵 彭瑞 熊才权
湖北工业大学学报2024,Vol.39Issue(2) :17-22.

求解最小支配集问题的禁忌遗传混合算法

Hybrid Tabu Search and Genetic Algorithm for Solving Minimum Dominating Set Problem

吴歆韵 1彭瑞 1熊才权1
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作者信息

  • 1. 湖北工业大学计算机学院,湖北武汉 430068
  • 折叠

摘要

将最小支配集问题转换为一系列判定问题-k支配集问题,并提出一种禁忌遗传混合算法对k-DS问题进行求解.此算法将禁忌搜索算法和遗传算法两种启发式算法结合起来,互补不足.高效的邻域结构保证了算法的运行效率,禁忌策略防止算法过早陷入局部最优陷阱,遗传算法框架进一步增强了算法的疏散性.经过与现有求解最小支配集算法的结果进行分析比较,禁忌遗传混合算法的结果较其它算法更优.

Abstract

The minimum dominating set problem can be transformed into a series of decision problems-the k dominating set(k DS)problem and a hybrid tabu search and genetic(TSG)algorithm for solving the k DS problem is proposed.The algorithm combines a tabu search algorithm and a genetic algorithm.The ef-ficient neighborhood structure is used to ensure the efficiency of the algorithm,the tabu strategy is used to prevent the algorithm from falling into the local optimal trap,and the genetic algorithm framework is used to further enhance the evacuation of the algorithm.Compared with the existing algorithms for solving the minimum dominating set problem,the result of proposed algorithm outperforms the others.

关键词

最小支配集/NP难问题/禁忌遗传混合算法/k支配集

Key words

minimum dominating set/NP hard problem/hybrid tabu search and genetic algorithm/k-dom-inating set

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基金项目

国家自然科学基金(6192116)

出版年

2024
湖北工业大学学报
湖北工业大学

湖北工业大学学报

CHSSCD
影响因子:0.258
ISSN:1003-4684
参考文献量12
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