| 引用本文: | 薛宏涛,沈林成,常文森.多群体合作型协进化方法的数学建模及分析.[J].国防科技大学学报,2002,24(3):98-102.[点击复制] |
| XUE Hongtao,SHEN Lincheng,CHANG Wensen.Mathematical Modeling and Analysis for a Multi-population Cooperative Co-evolution Method[J].Journal of National University of Defense Technology,2002,24(3):98-102[点击复制] |
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| 多群体合作型协进化方法的数学建模及分析 |
| 薛宏涛, 沈林成, 常文森 |
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(国防科技大学 机电工程与自动化学院，湖南 长沙 410073)
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| 摘要: |
| 采用传统单群体GA中模式复制方程的分析方法，对一种多群体合作型协进化方法建模并进行数学分析，对于目前尚未解决的协进化过程中的关键问题，包括个体适应度的评价方法、群体间合作的回报信贷分配以及由此影响到群体中个体的增长规律等在理论方面进行分析。最后表明，数学建模与分析的结果与Potter的实验结论相吻合。 |
| 关键词: 协进化 合作型协进化方法 模式复制方程 数学模型 |
| DOI： |
| 投稿日期：2001-12-10 |
| 基金项目:国家自然科学基金资助项目(60085005)；国家部委跨行业项目基金资助项目(99J16.5.1.KG0139)；湖南省自然科学基金资助项目(00JJY2062) |
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| Mathematical Modeling and Analysis for a Multi-population Cooperative Co-evolution Method |
| XUE Hongtao, SHEN Lincheng, CHANG Wensen |
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(College of Mechatronics Engineering and Automation, National Univ.of Defense Technology, Changsha 410073, China)
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| Abstract: |
| Make a mathematical model for a multi-population cooperative co-evolution method and analyze it,using the idea of pattern replicator equation in one population genetic algorithmFor some unsolved key problems in co-evolution,such as the evaluation method for the individual,credit assignment for the cooperation among populations and the resulting individual law increase in population, analyze them theoreticallyFinally, show that the result of the mathematical analysis is consistent with Potter's experiment result. |
| Keywords: co-evolution cooperative co-evolution method pattern replicator equation mathematical model |
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