A Game-Theoretic Approach to Line Planning
نویسندگان
چکیده
Abstract. We present a game-theoretic model for the line planning problem in public transportation, in which each line acts as player and aims to minimize a cost function which is related to the traffic along its edges. We analyze the model and in particular show that a potential function exists. Based on this result, we present a method for calculating equilibria and present first numerical results using the railway network of Deutsche Bahn.
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