Modelling road traffic accidents using macroscopic second-order models of traffic flow

Salissou Moutari; M. Herty; A. Klein; M. Oeser; B. Steinauer; V. Schleper

doi:10.1093/imamat/hxs012

Modelling road traffic accidents using macroscopic second-order models of traffic flow

Salissou Moutari, M. Herty, A. Klein, M. Oeser, B. Steinauer, V. Schleper

School of Mathematics and Physics

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

In this paper, we introduce a macroscopic model for road traffic accidents along highway sections. We discuss the motivation and the derivation of such a model, and we present its mathematical properties. The results are presented by means of examples where a section of a crowded one-way highway contains in the middle a cluster of drivers whose dynamics are prone to road traffic accidents. We discuss the coupling conditions and present some existence results of weak solutions to the associated Riemann Problems. Furthermore, we illustrate some features of the proposed model through some numerical simulations. © The authors 2012.

Original language	English
Pages (from-to)	1087-1108
Number of pages	22
Journal	IMA Journal of Applied Mathematics
Volume	78
Issue number	5
Early online date	17 Jul 2012
DOIs	https://doi.org/10.1093/imamat/hxs012
Publication status	Published - Oct 2013

Keywords

macroscopic traffic flow models
accident modelling
second-order models

ASJC Scopus subject areas

Applied Mathematics

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1093/imamat/hxs012

Cite this

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title = "Modelling road traffic accidents using macroscopic second-order models of traffic flow",

abstract = "In this paper, we introduce a macroscopic model for road traffic accidents along highway sections. We discuss the motivation and the derivation of such a model, and we present its mathematical properties. The results are presented by means of examples where a section of a crowded one-way highway contains in the middle a cluster of drivers whose dynamics are prone to road traffic accidents. We discuss the coupling conditions and present some existence results of weak solutions to the associated Riemann Problems. Furthermore, we illustrate some features of the proposed model through some numerical simulations. {\textcopyright} The authors 2012. ",

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AU - Moutari, Salissou

AU - Herty, M.

AU - Klein, A.

AU - Oeser, M.

AU - Steinauer, B.

AU - Schleper, V.

PY - 2013/10

Y1 - 2013/10

N2 - In this paper, we introduce a macroscopic model for road traffic accidents along highway sections. We discuss the motivation and the derivation of such a model, and we present its mathematical properties. The results are presented by means of examples where a section of a crowded one-way highway contains in the middle a cluster of drivers whose dynamics are prone to road traffic accidents. We discuss the coupling conditions and present some existence results of weak solutions to the associated Riemann Problems. Furthermore, we illustrate some features of the proposed model through some numerical simulations. © The authors 2012.

AB - In this paper, we introduce a macroscopic model for road traffic accidents along highway sections. We discuss the motivation and the derivation of such a model, and we present its mathematical properties. The results are presented by means of examples where a section of a crowded one-way highway contains in the middle a cluster of drivers whose dynamics are prone to road traffic accidents. We discuss the coupling conditions and present some existence results of weak solutions to the associated Riemann Problems. Furthermore, we illustrate some features of the proposed model through some numerical simulations. © The authors 2012.

KW - macroscopic traffic flow models

KW - accident modelling

KW - second-order models

U2 - 10.1093/imamat/hxs012

DO - 10.1093/imamat/hxs012

M3 - Article

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JF - IMA Journal of Applied Mathematics

IS - 5

ER -

Modelling road traffic accidents using macroscopic second-order models of traffic flow

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

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