Multicriteria Approach to Bilevel Optimization

被引：0
|
作者：
J. Fliege
L. N. Vicente
机构：
[1] University of Birmingham,School of Mathematics
[2] Universidade de Coimbra,Departamento de Matemática
来源：
Journal of Optimization Theory and Applications | 2006年 / 131卷
关键词：
Bilevel optimization; multicriteria optimization;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the relationship between bilevel optimization and multicriteria optimization. Given a bilevel optimization problem, we introduce an order relation such that the optimal solutions of the bilevel problem are the nondominated points with respect to the order relation. In the case where the lower-level problem of the bilevel optimization problem is convex and continuously differentiable in the lower-level variables, this order relation is equivalent to a second, more tractable order relation.
引用
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页码：209 / 225
页数：16
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