| 求解多目标二层规划的多目标进化算法 |
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| 引用本文： | 林丹,丑英哲,李敏强.求解多目标二层规划的多目标进化算法[J].系统工程学报,2007,22(2):181-184,214. |
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| 作者姓名： | 林丹 丑英哲 李敏强 |
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| 作者单位： | 1. 天津大学数学系,天津,300072
2. 天津大学管理学院,天津,300072 |
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| 摘 要： | 提出了一个求解多目标二层规划问题的多目标进化算法.用传统优化算法求解下层规划中用权向量线性加权后得到的单目标问题,而对上层的多目标规划问题则采用基于NSGA-II的选择机制的多目标进化算法求解.数值试验表明所提出的算法是有效的.
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| 关 键 词： | 多目标二层规划 多目标进化算法 Pareto-最优解 Pareto-最优前沿 |
| 文章编号： | 1000-5781（2007）02-0181-04 |
| 收稿时间： | 2004-11-25 |
| 修稿时间： | 2004-11-252005-05-11 |
Multi-objective evolutionary algorithm for multi-objective bi-level programming problems |
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| LIN Dan,CHOU Ying-zhe,LI Min-qiang.Multi-objective evolutionary algorithm for multi-objective bi-level programming problems[J].Journal of Systems Engineering,2007,22(2):181-184,214. |
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| Authors: | LIN Dan CHOU Ying-zhe LI Min-qiang |
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| Affiliation: | 1. Department of Mathematics, Tianjin University, Tianjin 300072, China; 2. School of Management, Tianjin University, Tianjin 300072, China |
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| Abstract: | In this paper we present a multi-objective evolutionary algorithm for multi-objective bi-level programming problems.The linearly aggregated single objective programming in the lower level is solved with traditional optimization algorithms,while a multi-objective evolutionary algorithm based on NSGAII's selection mechanism is used to solve the multi-objective programming problem in the upper level.The performance of the proposed algorithm is illustrated using a numerical example. |
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| Keywords: | multi-objective bi-level programming multiobjective evolutionary algorithm Pareto-optimal solution Pareto-optimal frontier |
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