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

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 con...

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Bibliographic Details
Published in:IMA journal of applied mathematics 2013-10, Vol.78 (5), p.1087-1108
Main Authors: Moutari, S., Herty, M., Klein, A., Oeser, M., Steinauer, B., Schleper, V.
Format: Article
Language:English
Subjects:
Clusters
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Summary: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.
ISSN:0272-4960
1464-3634
DOI:10.1093/imamat/hxs012