Vector equilibrium flows with nonconvex ordering relations |
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| Authors: | T C E Cheng S J Li X Q Yang |
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| Institution: | 1.Department of Logistics and Maritime Studies,The Hong Kong Polytechnic University,Kowloon,Hong Kong;2.College of Mathematics and Science,Chongqing University,Chongqing,China;3.Department of Applied Mathematics,The Hong Kong Polytechnic University,Kowloon,Hong Kong |
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| Abstract: | In this note we introduce the concept of vector network equilibrium flows when the ordering cone is the union of finitely
many closed and convex cones. We show that the set of vector network equilibrium flows is equal to the intersection of finitely
many sets, where each set is a collection of vector equilibrium flows with respect to a closed and convex cone. Sufficient
and necessary conditions for a vector equilibrium flow are presented in terms of scalar equilibrium flows. |
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