Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/11148
Title: A multiproduct, multicriterion supply-demand network equilibrium model
Authors: Cheng, TCE 
Wu, YN
Keywords: Network equilibrium
Variational inequality
Wardrop' s equilibrium principle
Supply-demand network
Issue Date: 2006
Publisher: INFORMS
Source: Operations research, 2006, v. 54, no. 3, p. 544-554 How to cite?
Journal: Operations Research 
Abstract: We consider a multiproduct supply-demand network equilibrium model on the basis of Wardrop’s equilibrium principle. We prove that such a network equilibrium model with both a single criterion and multiple criteria are each equivalent to a vector variational inequality. For the case with multiple criteria, we derive the necessary and sufficient conditions for network equilibrium in terms of a vector variational inequality by Gerstewitz’s function when the cost function is vector valued. This result is derived based on conditions that are weaker than those for many existing results. We follow with an example to illustrate the application of the theoretical results.
URI: http://hdl.handle.net/10397/11148
ISSN: 0030-364X
DOI: 10.1287/opre.1060.0284
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