IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v538y2020ics0378437119316152.html
   My bibliography  Save this article

Traffic flow stabilized by matching speed on network with a bottleneck

Author

Listed:
  • Nagatani, Takashi

Abstract

We study the urban-scale traffic flow on city networks when there is a bottleneck on a road. Directed cycle graphs with and without bypasses are considered for the city traffic network. The dynamic equations of vehicular densities on all roads are presented on the networks. When vehicles flow into the connected road, the drivers are matched their speed to that at the connected road. The outflow is given by a function depending on both densities at the road and the downstream. While the outflow depends only on the density at the road in the conventional traffic model. The traffic flow is stabilized by matching the speed at the downstream. When there is a bottleneck on a road, the congestion at the bottleneck propagates over the network. The urban-scale macroscopic fundamental diagrams are derived on the graphs numerically. When there is a bottleneck on the cycle graph with and without bypasses, the fundamental diagrams are reproduced successfully.

Suggested Citation

  • Nagatani, Takashi, 2020. "Traffic flow stabilized by matching speed on network with a bottleneck," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
    • Handle: RePEc:eee:phsmap:v:538:y:2020:i:c:s0378437119316152
    DOI: 10.1016/j.physa.2019.122838
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119316152
    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.2019.122838?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.

    Citations

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


    Cited by:

    1. Verma, Muskan & Singla, Tanvi & Gupta, Arvind Kumar & Sharma, Sapna, 2024. "The role of occupancy on traffic flow in a multiple-loop network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 638(C).
    2. Verma, Muskan & Sharma, Sapna, 2023. "The role of occupancy and transition rate on traffic flow in a percolation-backbone fractal," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    3. Rachid Marzoug & Noureddine Lakouari & José Roberto Pérez Cruz & Carlos Jesahel Vega Gómez, 2022. "Cellular Automata Model for Analysis and Optimization of Traffic Emission at Signalized Intersection," Sustainability, MDPI, vol. 14(21), pages 1-20, October.
    4. Nagatani, Takashi, 2020. "Traffic flow on percolation-backbone fractal," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    5. Nagatani, Takashi, 2021. "Traffic flow on star graph: Nonlinear diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    6. Verma, Muskan & Sharma, Sapna, 2023. "Modeling heterogeneity in an open percolation backbone fractal traffic network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 619(C).

    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:538:y:2020:i:c:s0378437119316152. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.