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An extended optimal velocity difference model in a cooperative driving system

Author

Listed:
  • Jinliang Cao

    (College of Automation, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, P. R. China)

  • Zhongke Shi

    (College of Automation, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, P. R. China)

  • Jie Zhou

    (College of Automation, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, P. R. China)

Abstract

An extended optimal velocity (OV) difference model is proposed in a cooperative driving system by considering multiple OV differences. The stability condition of the proposed model is obtained by applying the linear stability theory. The results show that the increase in number of cars that precede and their OV differences lead to the more stable traffic flow. The Burgers, Korteweg–de Vries (KdV) and modified Korteweg–de Vries (mKdV) equations are derived to describe the density waves in the stable, metastable and unstable regions, respectively. To verify these theoretical results, the numerical simulation is carried out. The theoretical and numerical results show that the stabilization of traffic flow is enhanced by considering multiple OV differences. The traffic jams can be suppressed by taking more information of cars ahead.

Suggested Citation

  • Jinliang Cao & Zhongke Shi & Jie Zhou, 2015. "An extended optimal velocity difference model in a cooperative driving system," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(05), pages 1-20.
    • Handle: RePEc:wsi:ijmpcx:v:26:y:2015:i:05:n:s0129183115500540
    DOI: 10.1142/S0129183115500540
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