Schedule - based transit assignment : a new dynamic equilibrium model with explicit vehicle capacity constraints

We propose a new approach for modeling congested transit networks with fixed time tables where it may happen that there is not enough room onboard to allow all users waiting for a given line on the arriving vehicle, so that passengers need to queue at the stop until the service becomes actually available to them. Indeed, to reproduce this phenomenon within the established framework of diachronic graph, where the supply is represented through a time-space network, a distortion on the cost pattern is introduced, which is meant to discourage passengers from boarding crowded vehicles. To overcome this limitation we extend to the case of scheduled services an existing Dynamic Traffic Assignment model, where the equilibrium is formulated as a fixed point problem in terms of continuous flow temporal profiles.