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Zbl 1167.90533
Cheng, T.C.E.; Wu, Y.N.
A multiproduct, multicriterion supply-demand network equilibrium model. (English)
[J] Oper. Res. 54, No. 3, 544-554 (2006); erratum ibid. 59, 1309-1210 (2011). ISSN 0030-364X; ISSN 1526-5463/e

Summary: 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.

MSC 2000:: *90B50 Multiple-criteria decision making
90C29 Multi-objective programming, etc.
90C47 Minimax problems
90B10 Flows in networks
90C33 Complementarity problems

Cited in: Zbl 1233.90200

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Zentralblatt MATH Berlin [Germany]