Classical duality and existence results for a multi-criteria supply-demand network equilibrium model

Research output: Journal article publicationJournal articleAcademic researchpeer-review

Abstract

We propose a dual model of a multi-criteria network equilibrium model and establish a primal-dual relationship between the network model and its dual model under certain generalized monotonicity assumptions. By using Gerstewitz's function, we obtain the primal-dual relationship without any convexity assumptions. As an application of the dual model, we derive an existence result for the network model.
Original languageEnglish
Pages (from-to)615-628
Number of pages14
JournalJournal of Industrial and Management Optimization
Volume5
Issue number3
DOIs
Publication statusPublished - 6 Aug 2009

Keywords

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

ASJC Scopus subject areas

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

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