A multiproduct, multicriterion supply-demand network equilibrium model
成果类型：
Article
署名作者：
Cheng, T. C. E.; Wu, Y. N.
署名单位：
Hong Kong Polytechnic University; Chongqing Normal University
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.1060.0284
发表日期：
2006
页码：
544-554
关键词：
摘要：
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.