IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v570y2021ics0378437121000571.html
   My bibliography  Save this article

The vehicle length effect on the traffic flow fundamental diagram

Author

Listed:
  • Marques, W.
  • Méndez, A.R.
  • Velasco, R.M.

Abstract

Recent applications of a new methodology to measure fundamental traffic relations on freeways shows that many critical parameters of the flow-density and speed-spacing diagrams depend on vehicle length. In response to this fact, this work presents a generalization of the Prigogine–Herman traffic equation for aggressive drivers which takes into account the fact that vehicles are not point-like objects but have an effective length. Our approach is similar to that introduced by Enskog for dense gases and provides the construction of fundamental diagrams which are in excellent agreement with empirical traffic data.

Suggested Citation

  • Marques, W. & Méndez, A.R. & Velasco, R.M., 2021. "The vehicle length effect on the traffic flow fundamental diagram," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
    • Handle: RePEc:eee:phsmap:v:570:y:2021:i:c:s0378437121000571
    DOI: 10.1016/j.physa.2021.125785
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437121000571
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2021.125785?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Coifman, Benjamin, 2015. "Empirical flow-density and speed-spacing relationships: Evidence of vehicle length dependency," Transportation Research Part B: Methodological, Elsevier, vol. 78(C), pages 54-65.
    2. Coifman, Benjamin, 2014. "Revisiting the empirical fundamental relationship," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 173-184.
    3. Robert L. Anderson & Robert Herman & I. Prigogine, 1962. "On the Statistical Distribution Function Theory of Traffic Flow," Operations Research, INFORMS, vol. 10(2), pages 180-196, April.
    4. Marques, W. & Méndez, A.R., 2013. "On the kinetic theory of vehicular traffic flow: Chapman–Enskog expansion versus Grad’s moment method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(16), pages 3430-3440.
    5. Méndez, A.R. & Velasco, R.M., 2008. "An alternative model in traffic flow equations," Transportation Research Part B: Methodological, Elsevier, vol. 42(9), pages 782-797, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Cen, Bing-ling & Xue, Yu & Xia, Yu-xian & Zhang, Kun & Zhou, Ji, 2024. "Analysis of the macroscopic effect of a driver’s desired velocity on traffic flow characteristics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).
    2. Yin, Ruyang & Zheng, Nan & Liu, Zhiyuan, 2022. "Estimating fundamental diagram for multi-modal signalized urban links with limited probe data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Coifman, Benjamin & Ponnu, Balaji, 2020. "Adjacent lane dependencies modulating wave velocity on congested freeways-An empirical study," Transportation Research Part B: Methodological, Elsevier, vol. 142(C), pages 84-99.
    2. Cen, Bing-ling & Xue, Yu & Xia, Yu-xian & Zhang, Kun & Zhou, Ji, 2024. "Analysis of the macroscopic effect of a driver’s desired velocity on traffic flow characteristics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).
    3. Ponnu, Balaji & Coifman, Benjamin, 2015. "Speed-spacing dependency on relative speed from the adjacent lane: New insights for car following models," Transportation Research Part B: Methodological, Elsevier, vol. 82(C), pages 74-90.
    4. Seo, Toru & Kawasaki, Yutaka & Kusakabe, Takahiko & Asakura, Yasuo, 2019. "Fundamental diagram estimation by using trajectories of probe vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 40-56.
    5. Coifman, Benjamin & Ponnu, Balaji & El Asmar, Paul, 2023. "LWR and shockwave analysis - Failures under a concave fundamental diagram and unexpected induced disturbances," Transportation Research Part A: Policy and Practice, Elsevier, vol. 175(C).
    6. Ponnu, Balaji & Coifman, Benjamin, 2017. "When adjacent lane dependencies dominate the uncongested regime of the fundamental relationship," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 602-615.
    7. Qu, Xiaobo & Zhang, Jin & Wang, Shuaian, 2017. "On the stochastic fundamental diagram for freeway traffic: Model development, analytical properties, validation, and extensive applications," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 256-271.
    8. Bai, Lu & Wong, S.C. & Xu, Pengpeng & Chow, Andy H.F. & Lam, William H.K., 2021. "Calibration of stochastic link-based fundamental diagram with explicit consideration of speed heterogeneity," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 524-539.
    9. Martínez-Díaz, Margarita & Pérez, Ignacio, 2015. "A simple algorithm for the estimation of road traffic space mean speeds from data available to most management centres," Transportation Research Part B: Methodological, Elsevier, vol. 75(C), pages 19-35.
    10. Yan, Qinglong & Sun, Zhe & Gan, Qijian & Jin, Wen-Long, 2018. "Automatic identification of near-stationary traffic states based on the PELT changepoint detection," Transportation Research Part B: Methodological, Elsevier, vol. 108(C), pages 39-54.
    11. Mohammadian, Saeed & Zheng, Zuduo & Haque, Mazharul & Bhaskar, Ashish, 2023. "NET-RAT: Non-equilibrium traffic model based on risk allostasis theory," Transportation Research Part A: Policy and Practice, Elsevier, vol. 174(C).
    12. André de Palma, 2003. "In Memoriam: Ilya Prigogine (1917–2003)," Transportation Science, INFORMS, vol. 37(3), pages 255-256, August.
    13. Kathrin Goldmann & Gernot Sieg, 2020. "Quantifying the phantom jam externality: The case of an Autobahn section in Germany," Working Papers 30, Institute of Transport Economics, University of Muenster.
    14. Fiems, Dieter & Prabhu, Balakrishna & De Turck, Koen, 2019. "Travel times, rational queueing and the macroscopic fundamental diagram of traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 412-421.
    15. Qian, Wei-Liang & F. Siqueira, Adriano & F. Machado, Romuel & Lin, Kai & Grant, Ted W., 2017. "Dynamical capacity drop in a nonlinear stochastic traffic model," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 328-339.
    16. Coifman, Benjamin, 2015. "Empirical flow-density and speed-spacing relationships: Evidence of vehicle length dependency," Transportation Research Part B: Methodological, Elsevier, vol. 78(C), pages 54-65.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:570:y:2021:i:c:s0378437121000571. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.