[1]赵礼峰,王小龙. 图的Steiner最小树问题的混合遗传算法[J].计算机技术与发展,2014,24(10):110-114.
　ZHAO Li-feng,WANG Xiao-long. Hybrid Genetic Algorithm of Graphical Steiner Tree Problem[J].,2014,24(10):110-114.
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 图的Steiner最小树问题的混合遗传算法()
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《计算机技术与发展》[ISSN:1006-6977/CN:61-1281/TN]

卷:
24
期数:
2014年10期
页码:
110-114
栏目:
智能、算法、系统工程
出版日期:
2014-10-10

文章信息/Info

Title:
 Hybrid Genetic Algorithm of Graphical Steiner Tree Problem
文章编号:
1673-629X（2014）10-0110-05
作者:
 赵礼峰; 王小龙
 南京邮电大学 理学院
Author(s):
 ZHAO Li-feng; WANG Xiao-long
关键词:
 ; Steiner最小树; 遗传算法; 自适应; 混合遗传算法
Keywords:
 ; Steiner minimal tree problem; genetic algorithm; self-adaption; hybrid genetic algorithm
分类号:
TP301.6
文献标志码:
A
摘要:
 图的Steiner最小树问题是经典的组合优化问题，在通信网络和电路设计中有广泛应用。文中在遗传算法的基础上，对交叉率pc和变异率pm采用自适应过程，构造一种新的确定pc和pm的公式，有效解决了参数选取对最终结果的影响问题。再与模拟退火算法相结合，提出了一种解决Steiner最小树问题的混合遗传算法。该算法克服了遗传算法易早熟和收敛性能差的缺点，有效地增强了算法的进化能力。通过对OR-Library的部分实例进行计算结果表明，在大多数情况下混合遗传算法比遗传算法有更好的性能。
Abstract:
 The Graphical Steiner tree Problem ( GSP) is a classical combinatorial optimization problem,which has been widely used in communication network and the circuit design. In this paper,on the basis of genetic algorithm,apply the adaptive process for the crossover rate and mutation rate,to construct a new formula determining the crossover rate and mutation rate,effectively solving the problem of pa-rameters selection on the final result. Combined with the simulated annealing algorithm,propose a hybrid genetic algorithm to solve the problem of minimum Steiner tree. The algorithm overcomes the faults of genetic algorithm is easy to premature and poor convergence per-formance,effectively enhancing the capacity of the evolution of the algorithm. By the OR-Library test case calculation results show that, in most cases,the hybrid genetic algorithm has better performance than genetic algorithm.

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更新日期/Last Update: 2015-04-02