A note on vector network equilibrium principles

S. J. Li, Xiaoqi Yang, G. Y. Chen

Research output: Journal article publicationJournal articleAcademic researchpeer-review

10 Citations (Scopus)

Abstract

An example is given to show that the necessary conditions of Theorem 4.5 [in Chen et al. Math Methods Oper Res 49:239-253, 1999] and Theorem 2.1 (i) [in Goh and Yang Eur J Oper Res 116:615-628, 1999] for (weak) vector equilibrium flows may not hold. New ξ-equilibrium and parametric equilibrium flows are introduced. As a result, necessary and sufficient conditions between a weak vector equilibrium flow and an ξ-equilibrium flow and between a vector equilibrium flow and a parametric equilibrium flow are established.
Original languageEnglish
Pages (from-to)327-334
Number of pages8
JournalMathematical Methods of Operations Research
Volume64
Issue number2
DOIs
Publication statusPublished - 1 Oct 2006

Keywords

  • (Weak) vector equilibrium
  • Vector traffic network equilibrium model
  • Weak ξ-equilibrium
  • Weak parametric equilibrium

ASJC Scopus subject areas

  • Applied Mathematics
  • Management Science and Operations Research

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