Derivation of a Macroscopic LWR Model from a Microscopic follow-the-leader Model by Homogenization

Abstract : The goal of this paper is to derive a traffic flow macroscopic model from a microscopic model with a transition function. At the microscopic scale, we consider a first order model of the form “follow the leader” i.e. the velocity of each vehicle depends on the distance to the vehicle in front of it. We consider two different velocities and a transition zone. The transition zone represents a local perturbation operated by a Lipschitz function. After rescaling, we prove that the “cumulative distribution function” of the vehicles converges towards the solution of a macroscopic homogenized Hamilton-Jacobi equation with a flux limiting condition at junction which can be seen as a LWR model.
Type de document :
Communication dans un congrès
Lorena Bociu; Jean-Antoine Désidéri; Abderrahmane Habbal. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. Springer International Publishing, IFIP Advances in Information and Communication Technology, AICT-494, pp.272-281, 2016, System Modeling and Optimization. 〈10.1007/978-3-319-55795-3_25〉
Liste complète des métadonnées

Littérature citée [10 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/hal-01626910
Contributeur : Hal Ifip <>
Soumis le : mardi 31 octobre 2017 - 14:41:13
Dernière modification le : mardi 5 juin 2018 - 10:14:09
Document(s) archivé(s) le : jeudi 1 février 2018 - 13:19:55

Fichier

 Accès restreint
Fichier visible le : 2019-01-01

Connectez-vous pour demander l'accès au fichier

Licence


Distributed under a Creative Commons Paternité 4.0 International License

Identifiants

Citation

Nicolas Forcadel, Mamdouh Zaydan. Derivation of a Macroscopic LWR Model from a Microscopic follow-the-leader Model by Homogenization. Lorena Bociu; Jean-Antoine Désidéri; Abderrahmane Habbal. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. Springer International Publishing, IFIP Advances in Information and Communication Technology, AICT-494, pp.272-281, 2016, System Modeling and Optimization. 〈10.1007/978-3-319-55795-3_25〉. 〈hal-01626910〉

Partager

Métriques

Consultations de la notice

44