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local search with edge weighting and configuration checking heuristics for minimum vertex cover

文献类型:会议论文

作者Cai Shaowei ; Su Kaile ; Sattar Abdul
出版日期2011
关键词Combinatorial optimization Learning algorithms Problem solving
页码1672-1696
英文摘要The Minimum Vertex Cover (MVC) problem is a well-known combinatorial optimization problem of great importance in theory and applications. In recent years, local search has been shown to be an effective and promising approach to solve hard problems, such as MVC. In this paper, we introduce two new local search algorithms for MVC, called EWLS (Edge Weighting Local Search) and EWCC (Edge Weighting Configuration Checking). The first algorithm EWLS is an iterated local search algorithm that works with a partial vertex cover, and utilizes an edge weighting scheme which updates edge weights when getting stuck in local optima. Nevertheless, EWLS has an instance-dependent parameter. Further, we propose a strategy called Configuration Checking for handling the cycling problem in local search. This is used in designing a more efficient algorithm that has no instance-dependent parameters, which is referred to as EWCC. Unlike previous vertex-based heuristics, the configuration checking strategy considers the induced subgraph configurations when selecting a vertex to add into the current candidate solution.A detailed experimental study is carried out using the well-known DIMACS and BHOSLIB benchmarks. The experimental results conclude that EWLS and EWCC are largely competitive on DIMACS benchmarks, where they outperform other current best heuristic algorithms on most hard instances, and dominate on the hard random BHOSLIB benchmarks. Moreover, EWCC makes a significant improvement over EWLS, while both EWLS and EWCC set a new record on a twenty-year challenge instance. Further, EWCC performs quite well even on structured instances in comparison to the best exact algorithm we know. We also study the run-time behavior of EWLS and EWCC which shows interesting properties of both algorithms. © 2011 Elsevier B.V.
收录类别EI
会议录Artificial Intelligence
语种英语
ISSN号43702
WOS记录号WOS:000292222400010
源URL[http://124.16.136.157/handle/311060/14267]  
专题软件研究所_计算机科学国家重点实验室 _会议论文
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GB/T 7714
Cai Shaowei,Su Kaile,Sattar Abdul. local search with edge weighting and configuration checking heuristics for minimum vertex cover[C]. 见:.

入库方式: OAI收割

来源:软件研究所

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