A multiproduct, multicriterion supply-demand network equilibrium model

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31 Citations (Scopus)

Abstract

We consider a multiproduct supply-demand network equilibrium model on the basis of Wardrop's equilibrium principle. We prove that such a network equilibrium model with both a single criterion and multiple criteria are each equivalent to a vector variational inequality. For the case with multiple criteria, we derive the necessary and sufficient conditions for network equilibrium in terms of a vector variational inequality by Gerstewitz's function when the cost function is vector valued. This result is derived based on conditions that are weaker than those for many existing results. We follow with an example to illustrate the application of the theoretical results.
Original languageEnglish
Pages (from-to)544-554
Number of pages11
JournalOperations Research
Volume54
Issue number3
DOIs
Publication statusPublished - 1 May 2006

Keywords

  • Network equilibrium
  • Supply-demand network
  • Variational inequality
  • Wardrop's equilibrium principle

ASJC Scopus subject areas

  • Computer Science Applications
  • Management Science and Operations Research

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