From heterogeneous microscopic traffic flow models to macroscopic models
Analysis of PDEs
2019-07-05 v1
Abstract
The goal of this paper is to derive rigorously macroscopic traffic flow models from microscopic models. More precisely, for the microscopic models, we consider follow-the-leader type models with different types of drivers and vehicles which are distributed randomly on the road. After a rescaling, we show that the cumulative distribution function converge to the solution of a macroscopic model. We also make the link between this macroscopic model and the so-called LWR model.
Keywords
Cite
@article{arxiv.1907.02310,
title = {From heterogeneous microscopic traffic flow models to macroscopic models},
author = {Pierre Cardaliaguet and Nicolas Forcadel},
journal= {arXiv preprint arXiv:1907.02310},
year = {2019}
}