Super Efficiency of Multicriterion Network Equilibrium Model and Vector Variational Inequality

Yunan Wu (), Yuchen Peng, Long Peng and Ling Xu
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Yunan Wu: Beijing Foreign Studies University
Yuchen Peng: Renmin University of China
Long Peng: Beijing Foreign Studies University
Ling Xu: Beijing Foreign Studies University

Journal of Optimization Theory and Applications, 2012, vol. 153, issue 2, No 13, 485-496

Abstract: Abstract 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.

Keywords: Super efficiency; Network equilibrium; Variational inequality; Wardrop’s equilibrium principle (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-011-9950-z

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