A remark on a standard and linear vector network equilibrium problem with capacity constraints

S. J. Li, K. L. Teo, Xiaoqi Yang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

22 Citations (Scopus)


In this paper, (weak) vector equilibrium principle with capacity constraints is introduced. A necessary condition that a vector minimum cost flow is a vector equilibrium flow with capacity constraints is obtained. When the number of paths connecting with each pair of source and sink is less than or equal to 2, a sufficient condition for a vector minimum cost flow to be a vector equilibrium flow is also obtained. A generalized (weak) vector equilibrium principle is also introduced. Without any additional assumption, a necessary and sufficient condition for a (weak) vector minimum cost flow to be a generalized (weak) vector equilibrium flow is obtained.
Original languageEnglish
Pages (from-to)13-23
Number of pages11
JournalEuropean Journal of Operational Research
Issue number1
Publication statusPublished - 1 Jan 2008


  • Traffic network equilibrium model
  • Vector equilibrium principle
  • Vector minimum cost flow

ASJC Scopus subject areas

  • Modelling and Simulation
  • Management Science and Operations Research
  • Information Systems and Management

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