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求解最小双连通支配集问题的变邻域禁忌搜索算法

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针对经典NP难优化问题——最小双连通支配集问题,提出了一种元启发式求解算法——变邻域禁忌搜索算法.算法将原优化问题的求解转换为一系列判定问题——k双连通支配集问题的求解,使用两种邻域结构更加有效地覆盖解空间,同时使用扰动及禁忌机制帮助算法跳出局部最优陷阱.通过与现有文献中的精确算法、启发式算法在国际文献公开的38个双连通图算例上的实验对比,结果表明变邻域禁忌搜索算法能够有效求解最小双连通支配集问题,可求得所有公开算例的最优解,并且在稠密图中计算效率明显优先于其他算法.
Variable Neighborhood Tabu Search for Solving Minimum Biconnected Dominating Set Problem
The minimum biconnected dominating set structure is used to construct a fault tolerant virtual back bone network of wireless sensor networks.A variable neighborhood tabu search algorithm(VNTS),is proposed to solve the minimum biconnected dominating set problem,which is a classical NP hard opti-mization problem.The algorithm transforms the original optimization problem into a series of decision problems,the k-biconnected dominating set problem,and uses two neighborhood structures to cover the solution space more efficiently.Meanwhile,a perturbation and a tabu mechanism are implemented to help the algorithm escape from the local optimal trap.The experiment on 38 public instances of biconnected graphs compares the proposed algorithms with the exact and heuristic algorithms in the literature.The re-sults show that the VNTS algorithm is competitive in solving the minimum biconnected dominating set problem.It obtains the optimal solutions of all the instances and outperforms other algorithms on dense graphs in terms of computational efficiency.

A meta heuristic algorithmminimum biconnected dominating setvariable neighborhood search algorithmtabu search algorithmbiconnected graph

桂文杰、吴歆韵、熊才权

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湖北工业大学计算机学院,湖北武汉 430068

元启发式算法 最小双连通支配集 变邻域搜索算法 禁忌算法 双连通图

国家自然科学基金

61902116

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
年,卷(期):2024.39(1)
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