A Multiproduct, Multicriterion Supply-Demand Network Equilibrium Model

Authors:
T. C. E. Cheng;Y. N. Wu
Affiliations:
Department of Logistics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China;Department of Logistics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China, and Department of Mathematics, Chongqing Normal University, Chongqing, China
Venue:
Operations Research
Year:
2006

Citing 4
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An Erratum on the Multiproduct Network Equilibrium Model

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Abstract

We consider a multiproduct supply-demand network equilibrium model on the basis of Wardrops 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 Gerstewitzs 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.