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基于免疫优化的单目标多模态期望值规划

杨凯 张著洪

杨凯, 张著洪. 基于免疫优化的单目标多模态期望值规划[J]. 西南交通大学学报, 2014, 27(6): 1061-1067. doi: 10.3969/j.issn.0258-2724.2014.06.018
引用本文: 杨凯, 张著洪. 基于免疫优化的单目标多模态期望值规划[J]. 西南交通大学学报, 2014, 27(6): 1061-1067. doi: 10.3969/j.issn.0258-2724.2014.06.018
YANG Kai, ZHANG Zhuhong. Single-Objective Multi-modal Expected Value Programming Based on Immune Optimization[J]. Journal of Southwest Jiaotong University, 2014, 27(6): 1061-1067. doi: 10.3969/j.issn.0258-2724.2014.06.018
Citation: YANG Kai, ZHANG Zhuhong. Single-Objective Multi-modal Expected Value Programming Based on Immune Optimization[J]. Journal of Southwest Jiaotong University, 2014, 27(6): 1061-1067. doi: 10.3969/j.issn.0258-2724.2014.06.018

基于免疫优化的单目标多模态期望值规划

doi: 10.3969/j.issn.0258-2724.2014.06.018
基金项目: 

国家自然科学基金资助项目(61065010)

教育部博士点基金资助项目(20125201110003)

详细信息
    通讯作者:

    张著洪(1966-),男,教授,博士,博士生导师,研究方向为控制理论与计算智能, E-mail:sci.zhzhang@gzu.edu.cn

Single-Objective Multi-modal Expected Value Programming Based on Immune Optimization

  • 摘要: 为了求解未知随机变量分布下单目标多模态期望值规划,通过引入检测候选解是否为局部最优解的随机函数,将该期望值规划问题转化为多目标期望值规划问题,并进一步探寻问题的转化关系,获得在一定条件下有效解是最优解的结论;根据样本平均近似化思想,将多目标规划转化为非恒定样本采样的近似化模型,并基于克隆选择和免疫记忆的机理,通过设计递归非支配分层、样本自适应采样和自适应繁殖与变异方案,引导进化种群往优质个体所在区域转移,提出了求解该近似化模型的免疫优化算法.仿真结果表明:与参与比较的多目标优化算法相比,该算法搜索多个最优解方面有明显优势,搜索效果稳定,噪声抑制能力强;求解低、高维标准测试问题获得最优解的数量分别平均提高了20%和70%.

     

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出版历程
  • 收稿日期:  2013-10-12
  • 刊出日期:  2014-12-25

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