A Fast and Effective Method for Pruning of Non-dominated Solutions in Many-Objective Problems

A Fast and Effective Method for Pruning of Non-dominated Solutions in Many-Objective Problems
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DOI:
10.1007/11844297_56
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发表时间:
2006-09
期刊:
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影响因子:
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通讯作者:
S. Kukkonen;K. Deb
S. Kukkonen;K. Deb
中科院分区:
其他
文献类型:
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作者:
S. Kukkonen;K. Deb

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解的多样性保持是多目标优化问题的重要内容。现有的技术是次优的意义上获得的分布或执行时间。本文提出了一种有效且相对快速的非支配解集剪枝方法。所提出的方法是基于拥挤估计技术,使用最近的邻居的解决方案,在欧几里德意义上,和一种技术,快速找到这些最近的邻居。该方法进行了实验评估,结果表明,获得的分布和执行时间之间的一个很好的权衡。分布在多目标问题中也是好的,当目标数超过两个时。
Diversity maintenance of solutions is an essential part in multi-objective optimization. Existing techniques are suboptimal either in the sense of obtained distribution or execution time. This paper proposes an effective and relatively fast method for pruning a set of non-dominated solutions. The proposed method is based on a crowding estimation technique using nearest neighbors of solutions in Euclidean sense, and a technique for finding these nearest neighbors quickly. The method is experimentally evaluated, and results indicate a good trade-off between the obtained distribution and execution time. Distribution is good also in many-objective problems, when number of objectives is more than two.