Super Efficiency of Multicriterion Network Equilibrium Model and Vector Variational Inequality |
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Authors: | Yunan Wu Yuchen Peng Long Peng Ling Xu |
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Institution: | (1) Department of Mathematics, Nanchang University, Nanchang, 330047, China |
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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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Keywords: | |
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