Vector equilibrium problems with elastic demands and capacity constraints

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

Research output: Journal article publicationJournal articleAcademic researchpeer-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 languageEnglish
Pages (from-to)647-660
Number of pages14
JournalJournal of Global Optimization
Volume37
Issue number4
DOIs
Publication statusPublished - 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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