Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/19596
Title: A remark on a standard and linear vector network equilibrium problem with capacity constraints
Authors: Li, SJ
Teo, KL
Yang, XQ 
Keywords: Traffic network equilibrium model
Vector equilibrium principle
Vector minimum cost flow
Issue Date: 2008
Publisher: Elsevier
Source: European journal of operational research, 2008, v. 184, no. 1, p. 13-23 How to cite?
Journal: European journal of operational research 
Abstract: 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.
URI: http://hdl.handle.net/10397/19596
ISSN: 0377-2217
EISSN: 1872-6860
DOI: 10.1016/j.ejor.2005.11.059
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