Super Efficiency of Multicriterion Network Equilibrium Model and Vector Variational Inequality

Super Efficiency of Multicriterion Network Equilibrium Model and Vector Variational Inequality

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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: , , ,
Keywords: networks, programming: multiple criteria
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.

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