Schedule-based equilibrium assignment model and algorithm for urban subway network

Abstract

The physical space network is expanded in the time dimension by using network expansion technology, combined with the subway network structure and the train schedule information. Simultaneously, the rules of practical passenger transfer between different lines are taken into account. The space-time network is then proposed for urban subway system and an improved shortest search algorithm for such space-time network is also given. On the basis of these, the time characteristic of subway passenger route choice is analyzed and the factors such as travel time, transfer and in-vehicle congestion are all considered. The generalized cost model is formulated based on space-time expansion network. Furthermore, schedule-based equilibrium assignment model with its algorithm is proposed for urban subway network. Finally, a numerical example is provided to illustrate the model and algorithm.

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