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求解多目标最小生成树的一种改进的非支配排序遗传算法 被引量:1

An NSGA-Ⅱfor Multi-Objective Minimum Spanning Tree Problem
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摘要 在改进的非支配排序遗传算法(NSGA-Ⅱ)的基础上,提出了一种基于生成树边集合编码求解多目标最小生成树问题的进化算法。通过快速非支配排序法,降低了算法的计算复杂度,引入保存精英策略,扩大采样空间。实验结果表明:对于多目标最小生成树问题,边集合编码具有较好的遗传性和局部性,而且基于边集合编码的进化算法在求解效率和解的质量方面都优于基于Pr(?)fer编码的进化算法。 In this paper, a multi - objective evolutionary algorithm on multi - objective minimum spanning tree problem is proposed based on a fast elitist non - dominated sorting genetic algorithm for multi - objective optimization( NSGA- Ⅱ). It adopts the edge- sets as the tree encoding and a fast elitist non- dominated sorting algorithm to make the GA search give out all Pareto optimal solutions distributed all along the Pareto frontier. The experimental results show that this algorithm has faster convergent speed and better diversity of solutions than the algorithm based on Pruefer encoding.
出处 《电子科技》 2007年第6期33-35,共3页 Electronic Science and Technology
关键词 多目标最小生成树 NSGA—Ⅱ 最小生成树 MO - MST NSGA - Ⅱ MST
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参考文献3

  • 1Zhou G,C,en M.The Genetic Algorithms Approach to the Multi -criteria Minimum Spanning Tree Problem[].European Jour- nal of Operational Research.1999
  • 2Deb K,Agrawal S,Pratap A,et al.A Fast Elitist Non- dominated Sorting Genetic Algorithm for Multi-Objective Op- timization:NSGA-Ⅱ[].IEEE Transactions on Evolution- ary Computation.2002
  • 3Raidl G R,Julstrom B A.Edge-Sets:An Effective Evolution- ary Coding of Spanning Trees[].IEEE Transactions on Evolu- tionary Computation.2003

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