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Asymmetric optimal-velocity car-following model

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  • Xu, Xihua
  • Pang, John
  • Monterola, Christopher

Abstract

Taking the asymmetric characteristic of the velocity differences of vehicles into account, we present an asymmetric optimal velocity model for a car-following theory. The asymmetry between the acceleration and the deceleration is represented by the exponential function with an asymmetrical factor, which agrees with the published experiment. This model avoids the disadvantage of the unrealistically high acceleration appearing in previous models when the velocity difference becomes large. This model is simple and only has two independent parameters. The linear stability condition is derived and the phase transition of the traffic flow appears beyond the critical density. The strength of interaction between clusters is shown to increase with the asymmetry factor in our model.

Suggested Citation

  • Xu, Xihua & Pang, John & Monterola, Christopher, 2015. "Asymmetric optimal-velocity car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 565-571.
    • Handle: RePEc:eee:phsmap:v:436:y:2015:i:c:p:565-571
    DOI: 10.1016/j.physa.2015.04.023
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    References listed on IDEAS

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    1. Gong, Huaxin & Liu, Hongchao & Wang, Bing-Hong, 2008. "An asymmetric full velocity difference car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(11), pages 2595-2602.
    2. Kerner, Boris S., 2013. "Criticism of generally accepted fundamentals and methodologies of traffic and transportation theory: A brief review," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5261-5282.
    3. Davis, L.C., 2011. "Jam emergence on a circular track in a car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(5), pages 943-950.
    4. Peng, Guang-han & Cheng, Rong-jun, 2013. "A new car-following model with the consideration of anticipation optimal velocity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3563-3569.
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    Cited by:

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    2. Yongjiang-Wang, & Han-Song, & Rongjun-Cheng,, 2019. "TDGL and mKdV equations for an extended car-following model with the consideration of driver’s memory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 440-449.
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    4. Xia, Yingji & Sun, Zhe & Qu, Zhaowei & Liu, Tianze & Li, Zhihui & Gao, Yuhong, 2021. "Reaction model of conflictive e-bikes and numerical simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).

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