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Modeling pedestrian single-file movement: Extending the interaction to the follower

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  • Subaih, Rudina
  • Tordeux, Antoine

Abstract

This article proposes a new microscopic speed model for one-dimensional pedestrian movement. Most existing modeling approaches consider only the distance and relative speed between a pedestrian and the person in front resulting in totally asymmetric interaction models. However, the distance with the pedestrian behind may also influence the behavior of a pedestrian. Based on this assumption, we elaborate a new asymmetric microscopic model considering the relative distances with the nearest neighbors behind and ahead using a fine-tuning asymmetry parameter. We analyze the stability of the new model and calibrate the parameters using two different single-file movement datasets. The numerical simulation results show that the new model has fewer backward movements and pedestrian overlaps than the totally asymmetric model making the stop-and-go waves in crowded situations more realistic. Furthermore, the proposed fine-tuned model better describes the fundamental diagram and its scattering.

Suggested Citation

  • Subaih, Rudina & Tordeux, Antoine, 2024. "Modeling pedestrian single-file movement: Extending the interaction to the follower," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
    • Handle: RePEc:eee:phsmap:v:633:y:2024:i:c:s0378437123009494
    DOI: 10.1016/j.physa.2023.129394
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    References listed on IDEAS

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    1. Hughes, R.L., 2000. "The flow of large crowds of pedestrians," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 53(4), pages 367-370.
    2. H. X. Ge & H. B. Zhu & S. Q. Dai, 2006. "Effect of looking backward on traffic flow in a cooperative driving car following model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 54(4), pages 503-507, December.
    3. Hughes, Roger L., 2002. "A continuum theory for the flow of pedestrians," Transportation Research Part B: Methodological, Elsevier, vol. 36(6), pages 507-535, July.
    4. Ma, Guangyi & Ma, Minghui & Liang, Shidong & Wang, Yansong & Guo, Hui, 2021. "Nonlinear analysis of the car-following model considering headway changes with memory and backward looking effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
    5. Kretz, Tobias, 2015. "On oscillations in the Social Force Model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 272-285.
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    Cited by:

    1. Hosen, Md. Zakir & Hossain, Md. Anowar & Tanimoto, Jun, 2024. "Traffic model for the dynamical behavioral study of a traffic system imposing push and pull effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 645(C).

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