A traffic model aware of real time data

被引：9

作者：

Colombo, Rinaldo M. ^{[1
]}

Marcellini, Francesca ^{[2
]}

机构：

[1] Univ Brescia, Unita INdAM, Via Branze 38, I-25123 Brescia, Italy

[2] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Via Cozzi 55, I-20125 Milan, Italy

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2016年 / 26卷 / 03期

关键词：

Macroscopic traffic models; hyperbolic systems of conservation laws; WAVES; FLOW;

D O I：

10.1142/S0218202516500081

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Nowadays, traffic monitoring systems have access to real time data, e.g. through GPS devices. We propose a new traffic model able to take into account these data and, hence, able to describe the effects of unpredictable accidents. The well-posedness of this model is proved and numerical integrations show qualitative features of the resulting solutions. As a further motivation for the use of real time data, we show that the inverse problem for the Lighthill-Whitham and Richards (LWR) model is ill-posed.

引用

页码：445 / 467

页数：23

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