Article ID: | iaor20123742 |
Volume: | 153 |
Issue: | 2 |
Start Page Number: | 485 |
End Page Number: | 496 |
Publication Date: | May 2012 |
Journal: | Journal of Optimization Theory and Applications |
Authors: | Wu Yunan, Peng Yuchen, Peng Long, Xu Ling |
Keywords: | networks, programming: multiple criteria |
The super efficiency of a vector variational inequality is considered in this paper. We show that for both the single and multiple criteria cases, a network equilibrium model can be recast as super efficient solutions to a kind of variational inequality. For the network equilibrium model with a vector‐valued cost function, we derive the necessary and sufficient condition in terms of the super efficiency of a vector variational inequality by using the Gerstewitz’s function without any convex assumptions.