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Journal Articles Journal of Advanced Transportation Year : 2012

On seat capacity in traffic assignment to a transit network

Fabien Leurent


Seating or standing make distinct on-board states to a transit rider, yielding distinct discomfort costs, with potential influence on the passenger route choice onto the transit network. The paper provides a transit assignment model that captures the seating capacity and its occupancy along any transit route. The main assumptions pertain to: the seat capacity by service route, selfish user behaviour, a seat allocation process with priority rules among the riders, according to their prior state either on-board or at boarding. To each transit leg from access to egress station is associated a set of 'service modes', among which the riders are assigned in a probabilistic way, conditionally on their priority status and the ratio between the available capacity and the flow of them. Thus the leg cost is a random variable, with mean value to be included in the trip disutility. Computationally efficient algorithms are provided for, respectively, loading the leg flows and evaluating the leg costs along a transit line. At the network level, a hyperpath formulation is provided for supply-demand equilibrium, together with a property of existence and an method of successive averages equilibration algorithm. It is shown that multiple equilibria may arise. Copyright © 2010 John Wiley & Sons, Ltd.

Dates and versions

hal-00652377 , version 1 (15-12-2011)



Fabien Leurent. On seat capacity in traffic assignment to a transit network. Journal of Advanced Transportation, 2012, 46 (2), pp.112-138. ⟨10.1002/atr.146⟩. ⟨hal-00652377⟩
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