The planning of urban public passenger transport often requires considering the capacity constraints and congestion effects. Modelling the person capacity of a transit route has been the purpose of several recent research works to develop network traffic assignment models along the following tracks:
- effective frequencies, by De Cea and Fernandez, and Cepeda et al;
- the capacity by route segment, by Lam et al;
- failure-to-board probability, by Kurauchi et al;
- strategy based on a user preference set, by Hamdouch et al;
- availability frequency, by Leurent and Askoura.
Our objective is to describe and compare the models. We characterise and discuss their assumptions and also apply them to a test case which is treated parametrically. We consider specifically:
- making explicit a capacity constraint;
- priority for passengers already on board over those boarding;
- the route’s waiting time for a boarding passenger;
- the distribution of boarding volumes between the attractive routes from a station to a given destination.