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- [1] Lin J.G.(1976)Multiple-objective problems: Pareto-optimal solutions by method of proper equality constraints IEEE Trans. Auto. Control 21 641-650
A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems
被引：2
作者：
I. Das
J. E. Dennis
机构：
[1] Rice University of Houston,Department of Computational and Applied Mathematics
来源：
Structural optimization
|
1997年
/
14卷
关键词：
Civil Engineer;
Standard Technique;
Uneven Distribution;
Objective Space;
Frequent Observation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A standard technique for generating the Pareto set in multicriteria optimization problems is to minimize (convex) weighted sums of the different objectives for various different settings of the weights. However, it is well-known that this method succeeds in getting points from all parts of the Pareto set only when the Pareto curve is convex. This article provides a geometrical argument as to why this is the case.
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页码：63 / 69
页数：6
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