A Novel Genetic Algorithm for Degree-Constrained Minimum Spanning Tree Problem

被引:0
|
作者
Hanr, Lixia [1 ]
Wang, Yuping [2 ]
机构
[1] Xidian Univ, Sch Sci, Xian 710071, Peoples R China
[2] Xidian Univ, Sch Comp Sci & Technol, Xian 710071, Peoples R China
基金
中国国家自然科学基金;
关键词
degree-constrained minimum spanning tree; genetic algorithm; convergence;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A novel genetic algorithm is proposed for degreeconstrained Minimum Spanning Tree (short for d-MST) problem in this paper. First, a novel model that transfer dMST problem into a preference two objective MST problem is presented. Based on this model, a new crossover operator, a local search scheme, a mutation operator and a new selection operator are designed based on the preference of the two objectives. Then, a new genetic algorithm (short for GA) is proposed. Furthermore, the convergence of the proposed algorithm to globally optimal solution with probability one is proved. The simulation results indicate the proposed algorithm is effective.
引用
收藏
页码:50 / 57
页数:8
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