Search Advanced

Networks and Heterogeneous Media

2009, Volume 4, Issue 1: 107-126. doi: 10.3934/nhm.2009.4.107
Previous Article Next Article

On fluido-dynamic models for urban traffic

  • 1.
    Dipartimento di Scienze e Tecnologie Avanzate, Università del Piemonte Orientale “A. Avogadro”, Via Bellini 25/G, 15100 Alessandria
  • 2.
    I.A.C., C.N.R., Via dei Taurini 19, 00185 Roma
  • Received: 01 March 2008 Revised: 01 October 2008

  • Primary: 35L65.

  • The aim of this paper is to address the following questions: which models, among fluido-dynamic ones, are more appropriate to describe urban traffic? While a rich debate was developed for the complicate dynamics of highway traffic, some basic problems of urban traffic are not always appropriately discussed. We analyze many recent, and less recent, models focusing on three basic properties. The latter are necessary to reproduce correctly queue formation at lights and junctions, and their backward propagation on an urban network.

    Citation: Mauro Garavello, Benedetto Piccoli. On fluido-dynamic models for urban traffic[J]. Networks and Heterogeneous Media, 2009, 4(1): 107-126. doi: 10.3934/nhm.2009.4.107

    Related Papers:

    [1] Mauro Garavello, Benedetto Piccoli . On fluido-dynamic models for urban traffic. Networks and Heterogeneous Media, 2009, 4(1): 107-126. doi: 10.3934/nhm.2009.4.107
    [2] Tibye Saumtally, Jean-Patrick Lebacque, Habib Haj-Salem . A dynamical two-dimensional traffic model in an anisotropic network. Networks and Heterogeneous Media, 2013, 8(3): 663-684. doi: 10.3934/nhm.2013.8.663
    [3] Fabio Della Rossa, Carlo D’Angelo, Alfio Quarteroni . A distributed model of traffic flows on extended regions. Networks and Heterogeneous Media, 2010, 5(3): 525-544. doi: 10.3934/nhm.2010.5.525
    [4] Dirk Helbing, Jan Siegmeier, Stefan Lämmer . Self-organized network flows. Networks and Heterogeneous Media, 2007, 2(2): 193-210. doi: 10.3934/nhm.2007.2.193
    [5] Caterina Balzotti, Maya Briani, Benedetto Piccoli . Emissions minimization on road networks via Generic Second Order Models. Networks and Heterogeneous Media, 2023, 18(2): 694-722. doi: 10.3934/nhm.2023030
    [6] Amaury Hayat, Benedetto Piccoli, Shengquan Xiang . Stability of multi-population traffic flows. Networks and Heterogeneous Media, 2023, 18(2): 877-905. doi: 10.3934/nhm.2023038
    [7] Ye Sun, Daniel B. Work . Error bounds for Kalman filters on traffic networks. Networks and Heterogeneous Media, 2018, 13(2): 261-295. doi: 10.3934/nhm.2018012
    [8] D. Alderson, H. Chang, M. Roughan, S. Uhlig, W. Willinger . The many facets of internet topology and traffic. Networks and Heterogeneous Media, 2006, 1(4): 569-600. doi: 10.3934/nhm.2006.1.569
    [9] Tong Li . Qualitative analysis of some PDE models of traffic flow. Networks and Heterogeneous Media, 2013, 8(3): 773-781. doi: 10.3934/nhm.2013.8.773
    [10] Mauro Garavello . A review of conservation laws on networks. Networks and Heterogeneous Media, 2010, 5(3): 565-581. doi: 10.3934/nhm.2010.5.565
  • The aim of this paper is to address the following questions: which models, among fluido-dynamic ones, are more appropriate to describe urban traffic? While a rich debate was developed for the complicate dynamics of highway traffic, some basic problems of urban traffic are not always appropriately discussed. We analyze many recent, and less recent, models focusing on three basic properties. The latter are necessary to reproduce correctly queue formation at lights and junctions, and their backward propagation on an urban network.


  • This article has been cited by:

    1. Arieh Schlote, Christopher King, Emanuele Crisostomi, Robert Shorten, Delay-Tolerant Stochastic Algorithms for Parking Space Assignment, 2014, 15, 1524-9050, 1922, 10.1109/TITS.2014.2304356
    2. Francesca Marcellini, The Follow-The-Leader model without a leader: An infinite-dimensional Cauchy problem, 2021, 495, 0022247X, 124664, 10.1016/j.jmaa.2020.124664
    3. Femke van Wageningen-Kessels, Bas van't Hof, Serge P. Hoogendoorn, Hans van Lint, Kees Vuik, Anisotropy in generic multi-class traffic flow models, 2013, 9, 2324-9935, 451, 10.1080/18128602.2011.596289
    4. Tong Li, Kun Zhao, Analysis of non-isentropic compressible Euler equations with relaxation, 2015, 259, 00220396, 6338, 10.1016/j.jde.2015.07.023
    5. Mohamed Benyahia, Massimiliano D. Rosini, Entropy solutions for a traffic model with phase transitions, 2016, 141, 0362546X, 167, 10.1016/j.na.2016.04.011
    6. CORRADO LATTANZIO, BENEDETTO PICCOLI, COUPLING OF MICROSCOPIC AND MACROSCOPIC TRAFFIC MODELS AT BOUNDARIES, 2010, 20, 0218-2025, 2349, 10.1142/S0218202510004945
    7. Zlatinka Dimitrova, Flows of Substances in Networks and Network Channels: Selected Results and Applications, 2022, 24, 1099-4300, 1485, 10.3390/e24101485
    8. Sébastien Blandin, Juan Argote, Alexandre M. Bayen, Daniel B. Work, Phase transition model of non-stationary traffic flow: Definition, properties and solution method, 2013, 52, 01912615, 31, 10.1016/j.trb.2013.02.005
    9. Benedetto Piccoli, Ke Han, Terry L. Friesz, Tao Yao, Junqing Tang, Second-order models and traffic data from mobile sensors, 2015, 52, 0968090X, 32, 10.1016/j.trc.2014.12.013
    10. S. Blandin, D. Work, P. Goatin, B. Piccoli, A. Bayen, A General Phase Transition Model for Vehicular Traffic, 2011, 71, 0036-1399, 107, 10.1137/090754467
    11. Raluca Eftimie, 2018, Chapter 4, 978-3-030-02585-4, 81, 10.1007/978-3-030-02586-1_4
    12. RINALDO M. COLOMBO, PAOLA GOATIN, BENEDETTO PICCOLI, ROAD NETWORKS WITH PHASE TRANSITIONS, 2010, 07, 0219-8916, 85, 10.1142/S0219891610002025
    13. Rinaldo M. Colombo, Francesca Marcellini, A mixed ODE-PDE model for vehicular traffic, 2015, 38, 01704214, 1292, 10.1002/mma.3146
    14. Raluca Eftimie, 2018, Chapter 3, 978-3-030-02585-4, 55, 10.1007/978-3-030-02586-1_3
    15. Nikolay K. Vitanov, Zlatinka I. Dimitrova, A Mathematical Theory of Motion of Researchers between Research Organizations, 2024, 12, 2227-7390, 1984, 10.3390/math12131984
  • Reader Comments
  • © 2009 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)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索
Networks and Heterogeneous Media
1.2 1.8

Metrics

Article views(3101) PDF downloads(85) Cited by(15)

Preview PDF
Download XML
Export Citation
Article outline
Abstract

Other Articles By Authors

Related pages

Tools

Copyright © AIMS Press

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog