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A new car-following model with consideration of the velocity difference between the current speed and the historical speed of the leading car

Author

Listed:
  • Liu, Fangxun
  • Cheng, Rongjun
  • Ge, Hongxia
  • Yu, Chenyan

Abstract

In this study, a new car-following model is proposed based on taking the effect of the leading vehicle’s velocity difference between the current speed and the historical speed into account. The model’s linear stability condition is obtained via the linear stability theory. The time-dependent Ginzburg–Landau (TDGL) equation and the modified Korteweg–de Vries (mKdV) equation are deduced through the nonlinear analysis. The kink–antikink soliton can interpret the traffic jams near the critical point. In addition, the connection between the TDGL and the mKdV equations is also given. Numerical simulation shows that the new model can improve the stability of traffic flow, which is consistent with the theoretical analysis correspondingly.

Suggested Citation

  • Liu, Fangxun & Cheng, Rongjun & Ge, Hongxia & Yu, Chenyan, 2016. "A new car-following model with consideration of the velocity difference between the current speed and the historical speed of the leading car," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 464(C), pages 267-277.
    • Handle: RePEc:eee:phsmap:v:464:y:2016:i:c:p:267-277
    DOI: 10.1016/j.physa.2016.06.059
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    References listed on IDEAS

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    5. Zhou, Tong & Chen, Dong & Zheng, Linjiang & Liu, Weining & He, Yuchu & Liu, Zhongcheng, 2018. "Feedback-based control for coupled map car-following model with time delays on basis of linear discrete-time system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 174-185.
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    7. Tang, Tie-Qiao & Zhang, Jian & Chen, Liang & Shang, Hua-Yan, 2017. "Analysis of vehicle’s safety envelope under car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 127-133.
    8. Ou, Hui & Tang, Tie-Qiao & Rui, Ying-Xu & Zhou, Jie-Ming, 2018. "Modeling electric bicycle’s abnormal behavior at a signalized intersection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 218-231.
    9. Tang, Tie-Qiao & Luo, Xiao-Feng & Zhang, Jian & Chen, Liang, 2018. "Modeling electric bicycle’s lane-changing and retrograde behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1377-1386.
    10. Ou, Hui & Tang, Tie-Qiao, 2018. "Impacts of carpooling on trip costs under car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 136-143.
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    13. Zhang, Xuan & Jia, Bin & Jiang, Rui, 2018. "Impact of safety assistance driving systems on oscillation magnitude, fuel consumption and emission in a car platoon," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 995-1007.
    14. Mei, Yiru & Zhao, Xiaoqun & Qian, Yeqing & Xu, Shangzhi & Li, Zhipeng, 2021. "Research on the influence of multiple historical speed information with different weight distribution on traffic flow stability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).

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