IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v675y2025ics0378437125004996.html
   My bibliography  Save this article

Fundamental diagram and stability analysis of mixed traffic flow considering platoon intensity and multiclass time delay

Author

Listed:
  • Du, Wenju
  • Huang, Zhekai
  • Li, Shukai
  • Zhang, Jiangang

Abstract

This paper constructs a stability analysis model of mixed traffic flow considering platoon intensity and multiclass time delay, and studies the fundamental diagram and stability of mixed traffic flow composed of human-driven vehicle (HDV), autonomous vehicle (AV), connected autonomous vehicle (CAV) and connected human-driven vehicle (CHV). Firstly, the car-following modes and delay in mixed traffic flow under the influence of vehicle platoon intensity are analyzed, and a Markov chain model is constructed to determine the proportion of different following modes. Secondly, the fundamental diagram models of homogeneous and mixed traffic flow considering platoon intensity and multiclass time delay are derived and analyzed. In addition, the stability conditions of mixed traffic flow considering platoon intensity and multiclass time delay are derived. Finally, the numerical simulation experiments are designed to analyze the effects of platoon intensity, platoon size and delay on the traffic capacity and stability of mixed traffic flow. The results show that (1) the increase in penetration rate of CAV and AV can effectively improve the capacity and stability of mixed traffic flow. (2) When the proportion of CHV in non-CAV penetration rate is greater than 0.5 or the penetration rate of CAV is higher than 0.95, the mixed traffic flow remains stable. (3) Traffic capacity of mixed traffic flow increases with increased platoon intensity and size, representing an increase of approximately 6 % when the platoon intensity was elevated from −0.9–0.9, and representing an increase of approximately 4 % when the platoon size was elevated from 1 to 9. (4) Platoon intensity has a positive effect on the stability of mixed traffic flow, but the platoon size has a negative impact on the stability of mixed traffic flow. (5) All types of time delays have a negative impact on the capacity and stability for mixed traffic flow.

Suggested Citation

  • Du, Wenju & Huang, Zhekai & Li, Shukai & Zhang, Jiangang, 2025. "Fundamental diagram and stability analysis of mixed traffic flow considering platoon intensity and multiclass time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 675(C).
    • Handle: RePEc:eee:phsmap:v:675:y:2025:i:c:s0378437125004996
    DOI: 10.1016/j.physa.2025.130847
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437125004996
    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.2025.130847?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

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:675:y:2025:i:c:s0378437125004996. 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.