13 citations · 27 across the 14 of their papers we have counts for
5 papers · 1 filter
A kinematic wave theory of capacity drop
Wen-Long Jin, Qi-Jian Gan, Jean-Patrick Lebacque
Capacity drop at active bottlenecks is one of the most puzzling traffic phenomena, but a thorough understanding is practically important for designing variable speed limit and ramp…
A convergent scheme for Hamilton-Jacobi equations on a junction: application to traffic
Guillaume Costeseque, Jean-Patrick Lebacque, Régis Monneau
In this paper, we consider first order Hamilton-Jacobi (HJ) equations posed on a ``junction'', that is to say the union of a finite number of half-lines with a unique common point.…
Multi-Anticipative Piecewise-Linear Car-Following Model
Nadir Farhi, Habib Haj-Salem, Jean-Patrick Lebacque
We propose in this article an extension of the piecewise linear car-following model to multi-anticipative driving. As in the one-car-anticipative model, the stability and the stati…
The Logit lane assignment model: first results
Nadir Farhi, Habib Haj-Salem, Megan Khoshyaran +4
The Logit lane assignment model has been introduced recently in order to describe multi-lane traffic flow from a macroscopic point of view. The model is based on the idea that each…
Algebraic Approach for Performance Bound Calculus on Transportation Networks (Road Network Calculus)
Nadir Farhi, Habib Haj-Salem, Jean-Patrick Lebacque
We propose in this article an adaptation of the basic techniques of the deterministic network calculus theory to the road traffic flow theory. Network calculus is a theory based on…