A Multiproduct, Multicriterion Supply-Demand Network Equilibrium Model

T. C. E. Cheng () and Y. N. Wu ()
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T. C. E. Cheng: Department of Logistics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China
Y. N. Wu: Department of Logistics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China, and Department of Mathematics, Chongqing Normal University, Chongqing, China

Operations Research, 2006, vol. 54, issue 3, 544-554

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.

Keywords: network equilibrium; variational inequality; Wardrop’s equilibrium principle; supply-demand network (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:54:y:2006:i:3:p:544-554

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