A vector network equilibrium problem with a unilateral constraint

Yunan Wu, Guangya Chen, Edwin Tai Chiu Cheng

Research output: Journal article publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)

Abstract

We formulate a network equilibrium model with a unilateral constraint based on Wardrop's principle and establish that the model is equivalent to a quasi-variational inequality. For the case with vector cost functions, we use Gerstewitz's function to derive two equivalence relations between the vector network equilibrium model with a unilateral constraint and quasi-variational inequalities without any convexity assumptions.
Original languageEnglish
Pages (from-to)453-464
Number of pages12
JournalJournal of Industrial and Management Optimization
Volume6
Issue number3
DOIs
Publication statusPublished - 1 Aug 2010

Keywords

  • Network equilibrium
  • Variational inequality
  • Wardrop's equilibrium principle

ASJC Scopus subject areas

  • Business and International Management
  • Strategy and Management
  • Control and Optimization
  • Applied Mathematics

Cite this