IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v27y2016i10ns0129183116501114.html
   My bibliography  Save this article

The control method for the multi-phase traffic model

Author

Listed:
  • Yi Liu

    (Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, P. R. China†Jiangsu Province Collaborative Innovation Center for Modern, Urban Traffic Technologies, Nanjing 210096, P. R. China‡National Traffic Management Engineering and Technology Research, Center, Ningbo University Sub-center, Ningbo 315211, P. R. China)

  • Rong-Jun Cheng

    (Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, P. R. China†Jiangsu Province Collaborative Innovation Center for Modern, Urban Traffic Technologies, Nanjing 210096, P. R. China‡National Traffic Management Engineering and Technology Research, Center, Ningbo University Sub-center, Ningbo 315211, P. R. China)

  • Yan-Qiang Ma

    (Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, P. R. China)

  • Hong-Xia Ge

    (Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, P. R. China†Jiangsu Province Collaborative Innovation Center for Modern, Urban Traffic Technologies, Nanjing 210096, P. R. China‡National Traffic Management Engineering and Technology Research, Center, Ningbo University Sub-center, Ningbo 315211, P. R. China)

Abstract

Based on multi-phase car-following model proposed by Nagatani, the control theory method is used to analyze the stability of the model. The optimal velocity function is improved to have more turning points. The original optimal velocity with one turning point shows two-phase traffic, while the improved model with n turning points exhibits n+1 phase traffic. Control signal is added into the model. Numerical simulation is conducted to show the results for the stability of the model with and without control signal.

Suggested Citation

  • Yi Liu & Rong-Jun Cheng & Yan-Qiang Ma & Hong-Xia Ge, 2016. "The control method for the multi-phase traffic model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 27(10), pages 1-8, October.
  • Handle: RePEc:wsi:ijmpcx:v:27:y:2016:i:10:n:s0129183116501114
    DOI: 10.1142/S0129183116501114
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183116501114
    Download Restriction: Access to full text is restricted to subscribers

    File URL: https://libkey.io/10.1142/S0129183116501114?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. Zhai, Cong & Li, Kening & Zhang, Ronghui & Peng, Tao & Zong, Changfu, 2024. "Phase diagram in multi-phase heterogeneous traffic flow model integrating the perceptual range difference under human-driven and connected vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 182(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:wsi:ijmpcx:v:27:y:2016:i:10:n:s0129183116501114. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    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.