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Effect of looking backward on traffic flow in an extended multiple car-following model

Author

Listed:
  • Sun, Di-Hua
  • Liao, Xiao-Yong
  • Peng, Guang-Han

Abstract

In this paper, a new car-following model is proposed by incorporating the backward looking effect under certain conditions and multiple information of preceding cars in traffic flow. And the neutral stability condition of this model can be obtained by using the linear stability theory. Numerical simulation shows that the proposed model is theoretically an improvement over previous ones.

Suggested Citation

  • Sun, Di-Hua & Liao, Xiao-Yong & Peng, Guang-Han, 2011. "Effect of looking backward on traffic flow in an extended multiple car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(4), pages 631-635.
  • Handle: RePEc:eee:phsmap:v:390:y:2011:i:4:p:631-635
    DOI: 10.1016/j.physa.2010.10.016
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    Citations

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    Cited by:

    1. Hu, Yanmei & Ma, Tianshan & Chen, Jianzhong, 2021. "Multi-anticipative bi-directional visual field traffic flow models in the connected vehicle environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    2. Wang, Zihao & Ge, Hongxia & Cheng, Rongjun, 2018. "Nonlinear analysis for a modified continuum model considering driver’s memory and backward looking effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 18-27.
    3. Zheng, Liang & Jin, Peter J. & Huang, Helai, 2015. "An anisotropic continuum model considering bi-directional information impact," Transportation Research Part B: Methodological, Elsevier, vol. 75(C), pages 36-57.
    4. Li, Chuan-Yao & Huang, Hai-Jun & Tang, Tie-Qiao, 2017. "Analysis of social optimum for staggered shifts in a single-entry traffic corridor with no late arrivals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 275-283.
    5. Yi, Ziwei & Lu, Wenqi & Qu, Xu & Gan, Jing & Li, Linheng & Ran, Bin, 2022. "A bidirectional car-following model considering distance balance between adjacent vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    6. Zeng, Youzhi & Ran, Bin & Zhang, Ning & Yang, Xiaobao & Shen, Jia-Jun & Deng, She-Jun, 2020. "Combined effects of drivers’ disturbance risk preference heterogeneity and the nearest following vehicle headway on traffic flow instability: Analytical studies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    7. Mei, Yiru & Zhao, Xiaoqun & Qian, Yeqing & Xu, Shangzhi & Li, Zhipeng, 2021. "Effect of self-stabilizing control in lattice hydrodynamic model with on-ramp and off-ramp," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 575(C).
    8. Cong Zhai & Weiming Liu & Feigang Tan & Ling Huang & Minglei Song, 2016. "Feedback control strategy of a new car-following model based on reducing traffic accident rates," Transportation Planning and Technology, Taylor & Francis Journals, vol. 39(8), pages 801-812, November.
    9. Jiao, Yulei & Ge, Hongxia & Cheng, Rongjun, 2019. "Nonlinear analysis for a modified continuum model considering electronic throttle (ET) and backward looking effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    10. Li, Chuan-Yao & Huang, Hai-Jun & Tang, Tie-Qiao, 2017. "Analysis of user equilibrium for staggered shifts in a single-entry traffic corridor with no late arrivals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 8-18.

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