Structure and Weak Sharp Minimum of the Pareto Solution Set for Piecewise Linear Multiobjective Optimization

被引：16

作者：

Yang, X. Q. ^{[1
]}

Yen, N. D. ^{[2
]}

机构：

[1] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China

[2] Vietnamese Acad Sci & Technol, Inst Math, Hanoi, Vietnam

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2010年 / 147卷 / 01期

关键词：

Piecewise linear functions; Multiobjective optimization problems; Pareto solution sets; Global weak sharp minimum; Image space analysis; THEOREMS;

D O I：

10.1007/s10957-010-9710-5

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, the Pareto solution set of a piecewise linear multiobjective optimization problem in a normed space is shown to be the union of finitely many semiclosed polyhedra. If the problem is further assumed to be cone-convex, then it has the global weak sharp minimum property.

引用

页码：113 / 124

页数：12

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