期刊
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
卷 25, 期 2, 页码 86-98出版社
SPRINGER
DOI: 10.1007/s00158-002-0276-1
关键词
design optimization; multiobjective optimization; normal constraint; Pareto generation; Pareto filter
dThe authors recently proposed the normal constraint (NC) method for generating a set of evenly spaced solutions on a Pareto frontier - for multiobjective optimization problems. Since few methods offer this desirable characteristic, the new method can be of significant practical use in the choice of an optimal solution in a multiobjective setting. This paper's specific contribution is two-fold. First, it presents a new formulation of the NC method that incorporates a critical linear mapping of the design objectives. This mapping has the desirable property that the resulting performance of the method is entirely independent of the design objectives scales. We address here the fact that scaling issues can pose formidable difficulties. Secondly, the notion of a Pareto filter is presented and an algorithm thereof is developed. As its name suggests, a Pareto filter is an algorithm that retains only the global Pareto points, given a set of points in objective space. As is explained in the paper, the Pareto filter is useful in the application of the NC and other methods. Numerical examples are provided.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据