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

Xiaoqi Yang; N. D. Yen

doi:10.1007/s10957-010-9710-5

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

Xiaoqi Yang, N. D. Yen

Research output: Journal article publication › Journal article › Academic research › peer-review

20 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	113-124
Number of pages	12
Journal	Journal of Optimization Theory and Applications
Volume	147
Issue number	1
DOIs	https://doi.org/10.1007/s10957-010-9710-5
Publication status	Published - 10 May 2010

Keywords

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

ASJC Scopus subject areas

Applied Mathematics
Control and Optimization
Management Science and Operations Research

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10.1007/s10957-010-9710-5

Cite this

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

Abstract

Keywords

ASJC Scopus subject areas

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