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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Communicated by Guang-ya Chen.
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Wu, Y., Peng, Y., Peng, L. et al. Super Efficiency of Multicriterion Network Equilibrium Model and Vector Variational Inequality. J Optim Theory Appl 153, 485–496 (2012). https://doi.org/10.1007/s10957-011-9950-z
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DOI: https://doi.org/10.1007/s10957-011-9950-z