Vector equilibrium problems with elastic demands and capacity constraints

S. J. Li; K. L. Teo; Xiaoqi Yang

doi:10.1007/s10898-006-9078-0

Vector equilibrium problems with elastic demands and capacity constraints

S. J. Li, K. L. Teo, Xiaoqi Yang

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

18 Citations (Scopus)

Abstract

In this paper, a (weak) vector equilibrium principle for vector network problems with capacity constraints and elastic demands is introduced. A sufficient condition for a (weak) vector equilibrium flow to be a solution for a system of (weak) vector quasi-variational inequalities is obtained. By virtue of Gerstewitz's nonconvex separation functional ξ, a (weak) ξ-equilibrium flow is introduced. Relations between a weak vector equilibrium flow and a (weak) ξ-equilibrium flow is investigated. Relations between weak vector equilibrium flows and two classes of variational inequalities are also studied. 2007.

Original language	English
Pages (from-to)	647-660
Number of pages	14
Journal	Journal of Global Optimization
Volume	37
Issue number	4
DOIs	https://doi.org/10.1007/s10898-006-9078-0
Publication status	Published - 1 Apr 2007

Keywords

(Weak) ξ-equilibrium
(Weak) Vectore quilibrium
Variational inequalities
Vector traffic network equilibrium model

ASJC Scopus subject areas

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

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10.1007/s10898-006-9078-0

Cite this

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AB - In this paper, a (weak) vector equilibrium principle for vector network problems with capacity constraints and elastic demands is introduced. A sufficient condition for a (weak) vector equilibrium flow to be a solution for a system of (weak) vector quasi-variational inequalities is obtained. By virtue of Gerstewitz's nonconvex separation functional ξ, a (weak) ξ-equilibrium flow is introduced. Relations between a weak vector equilibrium flow and a (weak) ξ-equilibrium flow is investigated. Relations between weak vector equilibrium flows and two classes of variational inequalities are also studied. 2007.

KW - (Weak) ξ-equilibrium

KW - (Weak) Vectore quilibrium

KW - Variational inequalities

KW - Vector traffic network equilibrium model

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JO - Journal of Global Optimization

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IS - 4

ER -

Vector equilibrium problems with elastic demands and capacity constraints

Abstract

Keywords

ASJC Scopus subject areas

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