Benson efficiency of a multi-criterion network equilibrium model

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Abstract

We consider Benson efficiency of a multi-product network equilibrium model based on Wardrop's principle in this paper. We show that in both the single and multiple criteria cases, such proper efficiency can be recast as vector variational inequalities. In the multiple criteria case we derive a sufficient and a necessary condition for Benson efficiency in terms of vector variational inequalities by using the Gerstewitz's function.
Original languageEnglish
Pages (from-to)443-458
Number of pages16
JournalPacific Journal of Optimization
Volume5
Issue number3
Publication statusPublished - 1 Sep 2009

Keywords

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

ASJC Scopus subject areas

  • Control and Optimization
  • Computational Mathematics
  • Applied Mathematics

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