Vector network equilibrium problems with capacity constraints of arcs |
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| Authors: | YD Xu SJ LiKL Teo |
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| Institution: | a College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
b Department of Mathematics and Statistics, Curtin University of Technology, G.P.O. Box U198, Perth WA6845, Australia |
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| Abstract: | In this paper, we study a (weak) vector equilibrium principle with capacity constraints of arcs and common arcs in some different paths. We obtain some necessary and sufficient conditions for a (weak) vector minimum cost flow. By virtue of a (weak) Δ-equilibrium principle, we also derive some necessary and sufficient conditions for a weak vector equilibrium flow. |
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| Keywords: | Vector traffic network equilibrium model Vector equilibrium flow Δ-Equilibrium flow Vector minimum cost flow Variational inequality |
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