度约束最小生成树问题的一种新的局部搜索遗传算法

Yong Zeng, Yu-Ping Wang
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引用次数: 13

摘要

针对np完全问题的度约束最小生成树问题,提出了一种新的进化算法,并采用Prufer编码方法对问题的解进行编码。为了改进算法,设计了两个新的遗传算子,避免产生不可行解。此外,设计了两个新的局部搜索算子,并将其结合到算法中,进一步提高了解的质量。结果表明,所提出的进化算法能够有效地探索搜索空间。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A new genetic algorithm with local search method for degree-constrained minimum spanning tree problem
A new evolutionary algorithm for degree-constrained minimum spanning tree problem, which is an NP-complete problem, is proposed, and Prufer encoding method is adopted to encode the solutions of the problem. To enhance the algorithm, two new genetic operators are specifically designed, which can avoid producing infeasible solutions. In addition, two novel local search operators are designed and combined into the algorithm to further improve the quality of solutions. As a result, the proposed evolutionary algorithm can efficiently explore the search space.
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