A study of the emergence of kinematic waves in targeted state car-following models of traffic

We propose to study the emergence of kinematic waves in microscopic models of traffic flow. The vehicle’s motion is given by car-following differential systems that incorporate a targeted state function and a strictly positive reaction time. Through simulations, we observe two types of stationary st...

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Autores principales:	Antoine Tordeux, Sylvain Lassarre, Michel Roussignol
Formato:	article
Lenguaje:	DE EN FR IT PT
Publicado:	Unité Mixte de Recherche 8504 Géographie-cités 2011
Materias:	traffic car-following model linear stability analysis emergence of kinematic waves collective phenomenon Geography (General) G1-922
Acceso en línea:	https://doaj.org/article/c2e5c12768764de4abe2919ead5b7976
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id	oai:doaj.org-article:c2e5c12768764de4abe2919ead5b7976
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spelling	oai:doaj.org-article:c2e5c12768764de4abe2919ead5b79762021-12-02T11:20:50ZA study of the emergence of kinematic waves in targeted state car-following models of traffic1278-336610.4000/cybergeo.23660https://doaj.org/article/c2e5c12768764de4abe2919ead5b79762011-05-01T00:00:00Zhttp://journals.openedition.org/cybergeo/23660https://doaj.org/toc/1278-3366We propose to study the emergence of kinematic waves in microscopic models of traffic flow. The vehicle’s motion is given by car-following differential systems that incorporate a targeted state function and a strictly positive reaction time. Through simulations, we observe two types of stationary state for a line of vehicle evolving on a ring: a homogeneous state in which vehicle speed and gap are constant and equal and a heterogeneous state in which kinematic waves spread out. The reaction time and the form of the targeted state function seem to be the determining microscopic factors of the macroscopic stationary state stability. A stability linear analysis of the homogeneous state is done with a basic car-following model. The results indicate an explicit condition between the reaction time, the form of the targeted state function and the stationary state nature of the vehicle line.Antoine TordeuxSylvain LassarreMichel RoussignolUnité Mixte de Recherche 8504 Géographie-citésarticletrafficcar-following modellinear stability analysisemergence of kinematic wavescollective phenomenonGeography (General)G1-922DEENFRITPTCybergeo (2011)
institution	DOAJ
collection	DOAJ
language	DE EN FR IT PT
topic	traffic car-following model linear stability analysis emergence of kinematic waves collective phenomenon Geography (General) G1-922
spellingShingle	traffic car-following model linear stability analysis emergence of kinematic waves collective phenomenon Geography (General) G1-922 Antoine Tordeux Sylvain Lassarre Michel Roussignol A study of the emergence of kinematic waves in targeted state car-following models of traffic
description	We propose to study the emergence of kinematic waves in microscopic models of traffic flow. The vehicle’s motion is given by car-following differential systems that incorporate a targeted state function and a strictly positive reaction time. Through simulations, we observe two types of stationary state for a line of vehicle evolving on a ring: a homogeneous state in which vehicle speed and gap are constant and equal and a heterogeneous state in which kinematic waves spread out. The reaction time and the form of the targeted state function seem to be the determining microscopic factors of the macroscopic stationary state stability. A stability linear analysis of the homogeneous state is done with a basic car-following model. The results indicate an explicit condition between the reaction time, the form of the targeted state function and the stationary state nature of the vehicle line.
format	article
author	Antoine Tordeux Sylvain Lassarre Michel Roussignol
author_facet	Antoine Tordeux Sylvain Lassarre Michel Roussignol
author_sort	Antoine Tordeux
title	A study of the emergence of kinematic waves in targeted state car-following models of traffic
title_short	A study of the emergence of kinematic waves in targeted state car-following models of traffic
title_full	A study of the emergence of kinematic waves in targeted state car-following models of traffic
title_fullStr	A study of the emergence of kinematic waves in targeted state car-following models of traffic
title_full_unstemmed	A study of the emergence of kinematic waves in targeted state car-following models of traffic
title_sort	study of the emergence of kinematic waves in targeted state car-following models of traffic
publisher	Unité Mixte de Recherche 8504 Géographie-cités
publishDate	2011
url	https://doaj.org/article/c2e5c12768764de4abe2919ead5b7976
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A study of the emergence of kinematic waves in targeted state car-following models of traffic

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