[Modèles du premier ordre et fermeture de l'équation de conservation de masse dans la théorie mathématique du trafic routier]
Ce article propose une revue et une analyse critique des modèles hydrodynamiques du trafic routier obtenus par fermeture de l'équation de conservation de la masse. La fermeture est obtenue à partir de modèles phénoménologiques reliant les profils des densités locales à la vitesse moyenne locale. Différents modèles sont décrits et discutés aussi bien dans le cas déterministe que stochastique. L'analyse est développée en vue d'applications aux simulations des modèles de trafic pour les réseaux routiers. Des perspectives de recherche, basées sur notre analyse, sont proposées dans la dernière partie de ce travail.
This article deals with a review and critical analysis of first order hydrodynamic models of vehicular traffic flow obtained by the closure of the mass conservation equation. The closure is obtained by phenomenological models suitable to relate the local mean velocity to local density profiles. Various models are described and critically analyzed in the deterministic and stochastic case. The analysis is developed in view of applications of the models to traffic flow simulations for networks of roads. Some research perspectives are derived from the above analysis and proposed in the last part of the paper.
Mot clés : Milieux continus, Modèles de trafic routier, Équation de conservation de la masse, Modèles continus, Nonlinéarité
@article{CRMECA_2005__333_11_843_0,
author = {Nicola Bellomo and Vincenzo Coscia},
title = {First order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow},
journal = {Comptes Rendus. M\'ecanique},
pages = {843--851},
publisher = {Elsevier},
volume = {333},
number = {11},
year = {2005},
doi = {10.1016/j.crme.2005.09.004},
language = {en},
}
TY - JOUR AU - Nicola Bellomo AU - Vincenzo Coscia TI - First order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow JO - Comptes Rendus. Mécanique PY - 2005 SP - 843 EP - 851 VL - 333 IS - 11 PB - Elsevier DO - 10.1016/j.crme.2005.09.004 LA - en ID - CRMECA_2005__333_11_843_0 ER -
%0 Journal Article %A Nicola Bellomo %A Vincenzo Coscia %T First order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow %J Comptes Rendus. Mécanique %D 2005 %P 843-851 %V 333 %N 11 %I Elsevier %R 10.1016/j.crme.2005.09.004 %G en %F CRMECA_2005__333_11_843_0
Nicola Bellomo; Vincenzo Coscia. First order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow. Comptes Rendus. Mécanique, Volume 333 (2005) no. 11, pp. 843-851. doi : 10.1016/j.crme.2005.09.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2005.09.004/
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