3 papers
math.OC2024
Collective Departure Time Allocation in Large-scale Urban Networks: A Flexible Modeling Framework with Trip Length and Desired Arrival Time Distributions
Mostafa Ameli, Jean-Patrick Lebacque, Negin Alisoltani +1
Urban traffic congestion remains a persistent issue for cities worldwide. Recent macroscopic models have adopted a mathematically well-defined relation between network flow and den…
math.DS2014
Upper bounds for the travel time on traffic systems
Nadir Farhi, Habib Haj-Salem, Jean-Patrick Lebacque
A key measure of performance and comfort in a road traffic network is the travel time that the users of the network experience to complete their journeys. Travel times on road traf…
math.OC2014
An algebraic approach for modeling and simulation of road traffic networks
Nadir Farhi, Habib Haj-Salem, Jean-Patrick Lebacque
We present in this article an algebraic approach to model and simulate road traffic networks. By defining a set of road traffic systems and adequate concatenating operators in that…