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计算机工程 ›› 2006, Vol. 32 ›› Issue (4): 33-35.

• 博士论文 • 上一篇    下一篇

受限 p-中心的遗传算法及其应用

阎新芳 1, 3,胡华东1,赵仲华2,孙雨耕1   

  1. 1. 天津大学电气与自动化工程学院,天津300072;2. 天津大学管理学院,天津 300072;3. 郑州大学信息工程学院,郑州450052
  • 出版日期:2006-02-20 发布日期:2006-02-20

A Genetic Algorithm for Constrained p-centers and Its Application

YAN Xinfang1, 3, HU Huadong1, ZHAO Zhonghua2, SUN Yugeng1   

  1. 1. School of Electrical Engineering & Automation, Tianjin University, Tianjin 300072; 2. School of Management, Tianjin University, Tianjin 300072; 3. College of Information Engineering, Zhengzhou University, Zhengzhou 450052
  • Online:2006-02-20 Published:2006-02-20

摘要: 图论中的受限p-中心问题是NP-难问题,文中以遗传算法的基本思想为基础,改进了选择、交叉、变异算子,并利用受限节点的概念减少备择点,采用二次选择的策略加快收敛进程。应用到高等级路政管理站选址的优化配置中,取得了令人满意的效果。

关键词: p-中心;受限p-中心;路政管理站选址;遗传算法

Abstract: constrained p-center, defined as to find p vertices in the subset D of V in order to serve the subset R of V by minimizing the maximum serving distance in an edge-weighted graph G = (V,E), is a NP-hard combinational problem. Based on the fundamental framework of genetic algorithm(GA), an improved algorithm is proposed in this paper, in which a new crossover, mutation and selection method is used. The convergence process of genetic algorithm is accelerated by using the strategy of second selection and constrained vertices

Key words: p-center; Constrained p-center; Management station location; Genetic algorithm