An equilibrium model for urban transit assignment based on game theory |
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Authors: | Lian-Ju Sun Zi-You Gao |
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Affiliation: | 1. State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China;2. College of Operations Research and Management Science, Qufu Normal University, Rizhao 276826, China |
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Abstract: | The urban public transport system is portrayed as a special commodity market where passenger is consumer, transit operator is producer and the special goods is the service for passenger’s trip. The generalized Nash equilibrium game is applied to describe how passengers adjust their route choices and trip modes. We present a market equilibrium model for urban public transport system as a series of mathematical programmings and equations, which is to describe both the competitions among different transit operators and the interactive influences among passengers. The proposed model can simultaneously predict how passengers choose their optimal routes and trip modes. An algorithm is designed to obtain the equilibrium solution. Finally, a simple numerical example is given and some conclusions are drawn. |
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Keywords: | Transit network Generalized Nash equilibrium game Equilibrium |
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