%0 Journal Article %T On seat capacity in traffic assignment to a transit network %+ Laboratoire Ville, Mobilité, Transport (LVMT ) %A Leurent, Fabien %< avec comité de lecture %@ 0197-6729 %J Journal of Advanced Transportation %I Hindawi Publishing Corporation %V 46 %N 2 %P 112-138 %8 2012-04 %D 2012 %R 10.1002/atr.146 %K transit assignment %K sitting behaviour %K seated capacity %K capacitated assignment %K priority rules %K line algorithms %K route choice %K network equilibrium %Z Computer Science [cs]/Modeling and SimulationJournal articles %X 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. %G English %L hal-00652377 %U https://enpc.hal.science/hal-00652377 %~ ENPC %~ UNIV-MLV %~ PARISTECH %~ ENPC-LVMT %~ IFSTTAR %~ TDS-MACS %~ UNIV-EIFFEL %~ IFSTTAR-UNIVEIFFEL %~ UPEM-UNIVEIFFEL