Vector equilibrium flows with nonconvex ordering relations

Edwin Tai Chiu Cheng; S. J. Li; Xiaoqi Yang

doi:10.1007/s10898-009-9437-8

Vector equilibrium flows with nonconvex ordering relations

Edwin Tai Chiu Cheng, S. J. Li, Xiaoqi Yang

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

3 Citations (Scopus)

Abstract

In this note we introduce the concept of vector network equilibrium flows when the ordering cone is the union of finitely many closed and convex cones. We show that the set of vector network equilibrium flows is equal to the intersection of finitely many sets, where each set is a collection of vector equilibrium flows with respect to a closed and convex cone. Sufficient and necessary conditions for a vector equilibrium flow are presented in terms of scalar equilibrium flows.

Original language	English
Pages (from-to)	537-542
Number of pages	6
Journal	Journal of Global Optimization
Volume	46
Issue number	4
DOIs	https://doi.org/10.1007/s10898-009-9437-8
Publication status	Published - 1 Apr 2010

Keywords

Nonconvex ordering
Solution set
Vector network equilibrium flow
Vector variational inequality

ASJC Scopus subject areas

Computer Science Applications
Control and Optimization
Management Science and Operations Research
Applied Mathematics

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10.1007/s10898-009-9437-8

Cite this

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KW - Solution set

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KW - Vector variational inequality

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Vector equilibrium flows with nonconvex ordering relations

Abstract

Keywords

ASJC Scopus subject areas

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