两级配置检查和基于频率的评分函数的最小权支配集局部搜索
Local Search for Minimum Weight Dominating Set with Two-Level Configuration Checking and Frequency Based Scoring Function
摘要：
最小权支配集问题是最小支配集问题的一个重要推广，有着广泛的应用。本文提出了一种新的局部搜索算法的MWDS问题，这是基于两个新的想法。第一个想法是一个启发式称为两级配置检查（CC2），这是一个新的变种，最近的强大的配置检查策略（CC），有效地避免了最近的搜索路径。第二个想法是一种新的评分函数的基础上被发现的顶点的频率。根据这两个思想的名称，我们的算法被称为CC2FS。实验结果表明，CC2FS的表现远远优于一些国家的最先进的算法在解决方案的质量在广泛的MWDS基准。
英文摘要：
The Minimum Weight Dominating Set (MWDS) problem is an important generalization of the Minimum Dominating Set (MDS) problem with extensive applications. This paper proposes a new local search algorithm for the MWDS problem, which is based on two new ideas. The first idea is a heuristic called two-level configuration checking (CC2), which is a new variant of a recent powerful configuration checking strategy (CC) for effectively avoiding the recent search paths. The second idea is a novel scoring function based on the frequency of being uncovered of vertices. Our algorithm is called CC2FS, according to the names of the two ideas. The experimental results show that, CC2FS performs much better than some state-of-the-art algorithms in terms of solution quality on a broad range of MWDS benchmarks.
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