User and service equilibrium in a structural model of traffic assignment to a transit network

Abstract

International audienceno abstrac

A traffic assignment model for passenger transit on a capacitated network: Bi-layer framework, line sub-models and large-scale application

“…The second kind pertains to local infrastructure, especially so in railway operations: vehicle dwelling at a station requires to occupy the track, as do vehicle clearance and also the safety margins. If the dwelling time is increased then the nominal frequency may drop down to an actual frequency: a static model has been put forward by Leurent et al (2011) (see Table 1). …”

“…Thus the frequency reduction model contributes to the forward propagation of traffic conditions. This Frequency reduction model, taken from Leurent et al (2011), is particularly relevant for a railway line under severe congestion, such as many railways at the morning peak hour in greater Paris. In practice, this complex capacity constraint interacts with the dynamic regulation of vehicle traffic by the line operator through the operating policy.…”

“…This frequency reduction effect, taken from Leurent et al (2011), is relevant for a railway line carrying intensive operations (high frequency services or large number of services) and large passenger loads per vehicle.…”

Dynamic user equilibrium in public transport networks with passenger congestion and hyperpaths

“…This loop, formalised with the FPP illustrated in Section 4.6, can be solved, as usual, by means of the MSA. Thus, the algorithm includes 3 parts: ) is visited, its forward star is scanned in order to set the minimal travel cost to the destination and the successive edge by means of equation (20). On the other hand, in Part 2 and 3 HGT is scanned in chronological order without respecting any topological order within the same time layer.…”