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一种求解多峰函数优化问题的演化算法

New Evolutionary Algorithm for Solving Multimodal Function Optimization Problems

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【作者】 蒋忠樟成浩

【Author】 JIANG Zhongzhang~(1,2),CHENG Hao~3(1.College of Mathematics and Physics,Zhejiang Normal University,Jinhua 321017,Zhejiang,China;2.Jinhua College of Profession and Technology,Jinhua 321017,Zhejiang,China;3.School of Mechanical and Electronic Engineering,Wuhan University of Technology,Wuhan 430070,Hubei,China)

【机构】 浙江师范大学数理学院武汉理工大学机电工程学院 浙江金华321017金华职业技术学院浙江金华321017湖北武汉430070

【摘要】 针对演化计算产生新解无序的问题,提出了基于相似性的邻域搜索策略.利用邻域搜索,可以方便地建立自适应的新解产生机制.针对演化算法设计中存在的搜索效果和效率平衡问题,提出了利用适应值对个体进行分级的搜索策略.通过对个体的分级,可以区分个体在搜索过程中的职能:优秀的个体进行局部极小值的开采;其他的个体进行搜索空间的探索,以发现新的局部极小值.数值实验表明,新算法能有效处理低维多峰函数,能找到所有的全局最优解.对高维多峰函数,也能找到全局最优解.

【Abstract】 A similarity based neighborhood exploring strategy is proposed to deal with the mechanism of generating new individuals randomly in evolutionary computation.The new algorithm is called Similarity Based Evolutionary Algorithm(SBEA).Neighborhood exploring brings the ability to self-adaptively generate new individuals easily.Aiming at balancing search results and search speed,we adopt the search strategy to classify the individuals by their fitness.Individuals’ classification differentiate respective function in search process,that is the excellent individuals mine the local optimal solution and others explore the search domain to find new local optimal solution.The experiment results indicate the new algorithm is very efficient for the optimization of low-dimension multi-modal functions.We can obtain all the global optimal solutions easily and quickly.As to high-dimension multi-modal functions,the results are also satisfactory.

【基金】 国家自然科学基金资助项目(60133010)
  • 【文献出处】 武汉大学学报(理学版) ,Journal of Wuhan University(Natural Science Edition) , 编辑部邮箱 ,2006年03期
  • 【分类号】TP301.6
  • 【被引频次】8
  • 【下载频次】187
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