Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/18673
Title: A note on vector network equilibrium principles
Authors: Li, SJ
Yang, XQ 
Chen, GY
Keywords: (Weak) vector equilibrium
Vector traffic network equilibrium model
Weak ξ-equilibrium
Weak parametric equilibrium
Issue Date: 2006
Publisher: Springer
Source: Mathematical methods of operations research, 2006, v. 64, no. 2, p. 327-334 How to cite?
Journal: Mathematical methods of operations research 
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.
URI: http://hdl.handle.net/10397/18673
ISSN: 1432-2994
EISSN: 1432-5217
DOI: 10.1007/s00186-006-0089-x
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