Genetic Algorithm for Multi-objective Optimization Using GDEA

Genetic Algorithm for Multi-objective Optimization Using GDEA
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DOI:
10.1007/11539902_49
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发表时间:
2005-08
期刊:
ArXiv
影响因子:
--
通讯作者:
Yeboon Yun;Min Yoon;H. Nakayama
Yeboon Yun;Min Yoon;H. Nakayama
中科院分区:
其他
文献类型:
--
作者:
Yeboon Yun;Min Yoon;H. Nakayama

文献摘要

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近年来,许多遗传算法作为一种近似生成多目标优化问题帕累托边界(帕累托最优解集)的方法得到了发展。在多目标遗传算法中,有两个重要的问题:如何为每个个体分配适应度,以及如何使个体多样化。为了克服这些问题,本文提出了一种基于广义数据包络分析(GDEA)的多目标遗传算法。数值算例表明,该方法能够以较少的函数求值次数生成分布良好且近似良好的Pareto边界。
Recently, many genetic algorithms (GAs) have been developed as an approximate method to generate Pareto frontier (the set of Pareto optimal solutions) to multi-objective optimization problem. In multi-objective GAs, there are two important problems : how to assign a fitness for each individual, and how to make the diversified individuals. In order to overcome those problems, this paper suggests a new multi-objective GA using generalized data envelopment analysis (GDEA). Through numerical examples, the paper shows that the proposed method using GDEA can generate well-distributed as well as well-approximated Pareto frontiers with less number of function evaluations.