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

More information

10.1007/s10898-006-9078-0

Cite this

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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.",

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AU - Teo, K. L.

AU - Yang, Xiaoqi

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N2 - 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.

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

UR - https://www.scopus.com/pages/publications/33847328737

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DO - 10.1007/s10898-006-9078-0

M3 - Journal article

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SP - 647

EP - 660

JO - Journal of Global Optimization

JF - Journal of Global Optimization

IS - 4

ER -

Vector equilibrium problems with elastic demands and capacity constraints

Abstract

Keywords

ASJC Scopus subject areas

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