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一种基于新改进的Price算法的混合遗传算法求解约束优化问题

Hybrid Genetic Algorithm Based on the Modification to the New Version of the Price’s Algorithm for Constrained Optimization Problems

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【作者】 李宏焦永昌张莉

【Author】 LI Hong1, JIAO Yong-chang2, ZHANG Li1 (1- School of Science, Xidian University, Xi’an 710071; 2-National Laboratory of Antennas and Microwave Technology, Xidian University, Xi’an 710071)

【机构】 西安电子科技大学理学院西安电子科技大学天线与微波国家重点实验室

【摘要】 新改进的Price算法能够求解多峰、多维,以及不可微目标函数的全局优化问题。把新改进的Price算法作为局部搜索算子,并入到实数编码遗传算法中,构成一个混合遗传算法,求解约束优化问题。该混合算法增强了全局寻优能力,提高了函数值的精度,并减少了计算量。通过对13个约束标准测试函数的仿真实验,并和已有算法的比较,结果表明本文提出的混合遗传算法是有效的。

【Abstract】 The modification to the new version of the Price’s algorithm can find the global minimum of a multimodal, multivariate and nondiffrentiable function. In this paper, the modification to the new version of the Price’s algorithm is taken as a local search operator, which is combined with the real- coded genetic algorithm. Thus a new hybrid genetic algorithm is proposed for constrained optimization problems. The new approach is capable of enhancing the global search ability of the genetic algorithm, improving the accuracy of the minimum function value, as well as reducing the computational burden. The hybrid genetic algorithm has been tested on 13 constrained benchmark problems. The results obtained have been compared with those of other existing algorithms. Simulation results show the effectiveness of the proposed algorithm.

【基金】 国家自然科学基金(60171045;60374063)
  • 【文献出处】 工程数学学报 ,Chinese Journal of Engineering Mathematics , 编辑部邮箱 ,2009年02期
  • 【分类号】TP18
  • 【被引频次】5
  • 【下载频次】177
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