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

作     者：Yang, X. Q. Yen, N. D. 

作者机构：Hong Kong Polytech Univ Dept Appl Math Hong Kong Hong Kong Peoples R China Vietnamese Acad Sci & Technol Inst Math Hanoi Vietnam 

出 版 物：《JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS》 (优选法理论与应用杂志)

年 卷 期：2010年第147卷第1期

页      面：113-124页

核心收录：

学科分类：1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Research Grants Council of Hong Kong [PolyU5303/05E] National Foundation for Science & Technology Development (Vietnam) 

主　　题：Piecewise linear functions Multiobjective optimization problems Pareto solution sets Global weak sharp minimum Image space analysis 

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.