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Analyses of a continuum traffic flow model for a nonlane-based system

Author

Listed:
  • Arvind Kumar Gupta

    (Department of Mathematics, Indian Institute of Technology Ropar, Rupnagar 140001, Punjab, India)

  • Isha Dhiman

    (Department of Mathematics, Indian Institute of Technology Ropar, Rupnagar 140001, Punjab, India)

Abstract

We develop a heterogeneous continuum model based upon a car-following model for a nonlane-based system taking lateral separation into account. The criterion for linear stability analysis and traveling wave solution of the homogeneous case is studied. The consideration of the lateral separation not only stabilizes the flow but also shrinks the critical region. For heterogeneous case, the fundamental diagram is examined for two different equilibrium speed-density functions and the effect of lane width is investigated for different compositions of heterogeneous traffic. The theoretical findings agree well with the results of numerical simulation which justifies the applicability of the model to a nonlane-based system.

Suggested Citation

  • Arvind Kumar Gupta & Isha Dhiman, 2014. "Analyses of a continuum traffic flow model for a nonlane-based system," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(10), pages 1-24.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:10:n:s0129183114500454
    DOI: 10.1142/S0129183114500454
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    Citations

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    Cited by:

    1. Tang, Tie-Qiao & Yi, Zhi-Yan & Zhang, Jian & Wang, Tao & Leng, Jun-Qiang, 2018. "A speed guidance strategy for multiple signalized intersections based on car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 399-409.
    2. Tang, Tie-Qiao & Rui, Ying-Xu & Zhang, Jian & Wang, Tao, 2018. "Impacts of group behavior on bicycle flow at a signalized intersection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 1205-1215.
    3. Ou, Hui & Tang, Tie-Qiao, 2018. "Impacts of moving bottlenecks on traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 131-138.
    4. 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.
    5. Zhao, Jing & Li, Peng, 2016. "An extended car-following model with consideration of speed guidance at intersections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 1-8.
    6. Jafaripournimchahi, Ammar & Cai, Yingfeng & Wang, Hai & Sun, Lu & Yang, Biao, 2022. "Stability analysis of delayed-feedback control effect in the continuum traffic flow of autonomous vehicles without V2I communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    7. Li, Chuan-Yao & Sun, Qi-Jia, 2019. "Influence of coarse toll on the dynamic properties of traffic flow in a single-entry traffic corridor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    8. Zhao, Jing & Li, Peng, 2017. "An extended car-following model with consideration of vehicle to vehicle communication of two conflicting streams," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 178-187.
    9. Leng, Jun-qiang & Zhai, Jing & Li, Qian-wen & Zhao, Lin, 2018. "Construction of road network vulnerability evaluation index based on general travel cost," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 421-429.
    10. Rong, Ying & Wen, Huiying, 2018. "Non-lane-discipline-based car-following model under honk environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 278-293.

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