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An Extended Macroscopic Model For Traffic Flow On A Highway With Slopes

Author

Listed:
  • JIANZHONG CHEN

    (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)

  • YANMEI HU

    (College of Science, Chang'an University, Xi'an, Shaanxi 710064, P. R. China)

  • LEI YU

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

  • YUAN FANG

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

Abstract

In this paper, we present an extended car-following model with consideration of the gravitational force. A new macroscopic model taking into account the slope effects is developed using the relationship between the microscopic and macroscopic variables. The proposed model is applied to reflect the effect of the slope on uniform flow, traffic waves and small perturbation. The simulation results demonstrate that both the angle and the length of the slope have important impacts on traffic flow. The effect of the slope becomes more significant with the increase of the slope angle.

Suggested Citation

  • Jianzhong Chen & Zhongke Shi & Yanmei Hu & Lei Yu & Yuan Fang, 2013. "An Extended Macroscopic Model For Traffic Flow On A Highway With Slopes," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(09), pages 1-14.
    • Handle: RePEc:wsi:ijmpcx:v:24:y:2013:i:09:n:s0129183113500617
    DOI: 10.1142/S0129183113500617
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    Citations

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    Cited by:

    1. Yu, Lei, 2020. "A new continuum traffic flow model with two delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    2. Kaur, Ramanpreet & Sharma, Sapna, 2018. "Modeling and simulation of driver’s anticipation effect in a two lane system on curved road with slope," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 110-120.
    3. Zhai, Cong & Wu, Weitiao, 2022. "A continuum model considering the uncertain velocity of preceding vehicles on gradient highways," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    4. Junyan Han & Xiaoyuan Wang & Gang Wang, 2022. "Modeling the Car-Following Behavior with Consideration of Driver, Vehicle, and Environment Factors: A Historical Review," Sustainability, MDPI, vol. 14(13), pages 1-27, July.
    5. Zhai, Cong & Wu, Weitiao, 2021. "A continuous traffic flow model considering predictive headway variation and preceding vehicle’s taillight effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).

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