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求解多目标二层规划的多目标进化算法
Multi-objective evolutionary algorithm for multi-objective bi-level programming problems
【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.
【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.
【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;
【Key words】 multi-objective bi-level programming; multiobjective evolutionary algorithm; Pareto-optimal solution; Pareto-optimal frontier;
【Key words】 multi-objective bi-level programming; multiobjective evolutionary algorithm; Pareto-optimal solution; Pareto-optimal frontier;
【基金】 国家自然科学基金资助项目(70301005)
- 【文献出处】 系统工程学报 ,Journal of Systems Engineering , 编辑部邮箱 ,2007年02期
- 【分类号】TP301.6
- 【被引频次】13
- 【下载频次】681