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

22 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

More information

10.1007/s10957-010-9710-5

Cite this

@article{936a979abc3e499180f575724bb95489,

title = "Structure and Weak Sharp Minimum of the Pareto Solution Set for Piecewise Linear Multiobjective Optimization",

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.",

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

author = "Xiaoqi Yang and Yen, \{N. D.\}",

year = "2010",

month = may,

day = "10",

doi = "10.1007/s10957-010-9710-5",

language = "English",

volume = "147",

pages = "113--124",

journal = "Journal of Optimization Theory and Applications",

issn = "0022-3239",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Structure and Weak Sharp Minimum of the Pareto Solution Set for Piecewise Linear Multiobjective Optimization

AU - Yang, Xiaoqi

AU - Yen, N. D.

PY - 2010/5/10

Y1 - 2010/5/10

N2 - 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.

AB - 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.

KW - Global weak sharp minimum

KW - Image space analysis

KW - Multiobjective optimization problems

KW - Pareto solution sets

KW - Piecewise linear functions

UR - https://www.scopus.com/pages/publications/84755160745

U2 - 10.1007/s10957-010-9710-5

DO - 10.1007/s10957-010-9710-5

M3 - Journal article

SN - 0022-3239

VL - 147

SP - 113

EP - 124

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

IS - 1

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

More information

Other files and links

Fingerprint

Cite this