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A selfish routing based network improvement problem
Authors:Binwu Zhang  Shu-Cherng Fang
Institution:1.Department of Mathematics and Physics,Hohai University,Changzhou,China;2.Department of Industrial and Systems Engineering,North Carolina State University,Raleigh,USA;3.Mathematical Sciences and Industrial Engineering,Tsinghua University,Beijing,China
Abstract:This paper considers a selfish routing based network improvement problem, in which the authors would like to find a modified latency function that results in a new Nash equilibrium flow satisfying all traffic demands subject to the target capacity, while the total modification cost on edge latency is minimized. By using the reduction from the 3-Satisfiability (3-SAT) problem to our problem, the authors show that this problem is strongly NP-hard, even for the single commodity network.
Keywords:
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