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Journal of Software:2011.22(10):2305-2316

采用染色划分改进的RLS 算法及性能分析
张雁,焦方正,卢昕玮,黄永宣
(西安交通大学 系统工程研究所,陕西 西安 710049;陕西电力信通公司 运行管理部,陕西 西安 710048;长安大学 经济与管理学院,陕西 西安 710064)
Improved RLS Algorithm with Color-Partition and Performance Analysis
ZHANG Yan,JIAO Fang-Zheng,LU Xin-Wei,HUANG Yong-Xuan
(Systems Engineering Institute, Xi’an Jiaotong University, Xi’an 710049, China;Department of Operation and Management, Shaanxi Power Information and Communication Corporation, Xi’an 710048, China;School of Economics and Management, Chang’an University, Xi’an 710064, China)
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Received:March 13, 2010    Revised:July 28, 2010
> 中文摘要: 利用最大团问题解空间特殊的结构特征,提出一种基于染色划分构建高维约束指导局部搜索移动方向的改进RLS 算法——RLS-II 算法,该算法提高了局部搜索向最优解靠近的概率.基于吸收态Markov 链理论,建立了RLS 和RLS-II 算法求解最大团问题的数学模型,分析了两种算法的吸收时间,并在77 个标准测试算例上对分析结果进行了实验验证.理论分析及实验结果都表明,染色划分过滤确实能够有效改善RLS 算法的性能,且平均染色组长度越大,性能改进的概率和幅度就越大.
Abstract:By exploiting the special structure in the solution space of the maximum clique problem (MCP), an improved RLS method, the RLS-II method, is has been created where the neighborhood-moving direction of the local search is guided by the multivariate constraints constructed by the dying partitioning. Therefore, the probability of the local search approaching the optimal solution is increased. Using the absorbing Markov chain theory as a reference, the mathematical models of the RLS and RLS-II algorithms in solving maximum clique problem are constructed and the absorbing time of the two algorithms is analyzed. Moreover, the analytical results are experimentally demonstrated on 77 Benchmark instances. Both the theoretical analysis and simulation results show that the dying partitioning filter can effectively improve the performance of the RLS algorithm. Furthermore, the longer average length of the dying group, the higher probability and amplitude of the performance improvement.
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张雁,焦方正,卢昕玮,黄永宣.采用染色划分改进的RLS 算法及性能分析.软件学报,2011,22(10):2305-2316

ZHANG Yan,JIAO Fang-Zheng,LU Xin-Wei,HUANG Yong-Xuan.Improved RLS Algorithm with Color-Partition and Performance Analysis.Journal of Software,2011,22(10):2305-2316