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Stability analysis of a multi-phase car-following model

Author

Listed:
  • Liu, Ronghui
  • Li, Xiang

Abstract

This paper presents a numerical stability analysis of a multi-phase car-following model under mild to severe disturbances. The results show that local stability was always conformed. An asymptotically unstable region was found for traffic in congested states. One of the previously calibrated boundary conditions for close-following situations was found to be in conflict with the stable condition required by the car-following model, which had attributed to speed oscillations during transition of the traffic from a non-congested to a congested state. Suggestions were made to the choice of model parameter values to meet the stability conditions and ways to improve the model.

Suggested Citation

  • Liu, Ronghui & Li, Xiang, 2013. "Stability analysis of a multi-phase car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(11), pages 2660-2671.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:11:p:2660-2671
    DOI: 10.1016/j.physa.2013.02.001
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    Cited by:

    1. Sun, Lu & Jafaripournimchahi, Ammar & Hu, Wusheng, 2020. "A forward-looking anticipative viscous high-order continuum model considering two leading vehicles for traffic flow through wireless V2X communication in autonomous and connected vehicle environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    2. Yin, Yu-Hang & Lü, Xing & Jiang, Rui & Jia, Bin & Gao, Ziyou, 2024. "Kinetic analysis and numerical tests of an adaptive car-following model for real-time traffic in ITS," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).

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