Modeling random traffic accidents by conservation laws

被引：3

作者：

Goettlich, Simone ^{[1
]}

Knapp, Stephan ^{[1
]}

机构：

[1] Univ Mannheim, Dept Math, D-68159 Mannheim, Germany

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2020年 / 17卷 / 02期

关键词：

conservation laws; traffic flow; random accidents; piecewise deterministic processes; FLOW; FLUX; CONVERGENCE; SIMULATION; NETWORK; SCHEME;

D O I：

10.3934/mbe.2020088

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We introduce a stochastic traffic flow model to describe random traffic accidents on a single road. The model is a piecewise deterministic process incorporating traffic accidents and is based on a scalar conservation law with space-dependent flux function. Using a Lax-Friedrichs discretization, we show that the total variation is bounded in finite time and provide a theoretical framework to embed the stochastic process. Additionally, a solution algorithm is introduced to also investigate the model numerically.

引用

页码：1677 / 1701

页数：25

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