On the micro-macro limit in traffic flow

被引：30

作者：

Colombo, R. M. ^{[1
]}

Rossi, E. ^{[2
]}

机构：

[1] Univ Brescia, INdAM Unit, I-25123 Brescia, Italy

[2] Univ Milano Bicocca, Dept Math & Applicat, I-20125 Milan, Italy

来源：

RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | 2014年 / 131卷

关键词：

Macroscopic traffic models; microscopic traffic models; conservation laws; WAVES; MODEL;

D O I：

10.4171/RSMUP/131-13

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the relations between a macroscopic Lighthill-Whitham and Richards model and a microscopic follow-the-leader model for traffic flow. Solutions to the microscopic model are proved to tend to those to the macroscopic one in a sort of kinetic limit, i.e. as the number of individuals tends to +infinity while their total mass is constant. Based on this convergence result, we approximately compute the solutions to a conservation law by means of the integration of an ordinary differential system.

引用

页码：217 / 235

页数：19

共 12 条

[1] A rigorous treatment of a follow-the-leader traffic model with traffic lights present [J].