FROM HETEROGENEOUS MICROSCOPIC TRAFFIC FLOW MODELS TO MACROSCOPIC MODELS

被引：11

作者：

Cardaliaguet, Pierre ^{[1
]}

Forcadel, Nicolas ^{[2
]}

机构：

[1] Univ Paris Dauphine PSL, UMR CNRS 7534, CEREMADE, Pl Lattre de Tassigny, F-75775 Paris 16, France

[2] Normandie Univ, INSA Rouen Normandie, LMI, EA 3226,FR CNRS 3335, F-76000 Rouen, France

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2021年 / 53卷 / 01期

关键词：

stochastic homogenization; traffic flow; heterogeneous microscopic models; macroscopic models; FRENKEL-KONTOROVA MODEL; THE-LEADER MODELS; HOMOGENIZATION; WAVES; ORDER;

D O I：

10.1137/20M1314410

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 converges to the solution of a macroscopic model. We also establish a connection between this macroscopic model and the so-called Light hill-Whit ham-Richards model.

引用

页码：309 / 322

页数：14

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