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Networks and Heterogeneous Media

2007, Volume 2, Issue 2: 227-253. doi: 10.3934/nhm.2007.2.227
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A second order model of road junctions in fluid models of traffic networks

  • 1.
    CESAME, Avenue G. Lemaître, 4, 1348 Louvain-la-Neuve
  • 2.
    Center for Systems Engineering and Applied Mechanics (CESAME), Department of Mathematical Engineering, Université catholique de Louvain, 4, Avenue G. Lemaître, 1348 Louvain-la-Neuve
  • Received: 01 July 2006 Revised: 01 January 2007

  • Primary: 35L; Secondary: 35L65.

  • This article deals with the modeling of junctions in a road network from a macroscopic point of view. After reviewing the Aw & Rascle second order model, a compatible junction model is proposed. The properties of this model and particularly the stability are analyzed. It turns out that this model presents physically acceptable solutions, is able to represent the capacity drop phenomenon and can be used to simulate the traffic evolution on a network.

    Citation: Bertrand Haut, Georges Bastin. A second order model of road junctions in fluid models of traffic networks[J]. Networks and Heterogeneous Media, 2007, 2(2): 227-253. doi: 10.3934/nhm.2007.2.227

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  • © 2007 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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