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Macroscopic model of multidirectional pedestrian network flows

Author

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  • Moustaid, Elhabib
  • Flötteröd, Gunnar

Abstract

Pedestrian flow models are useful for the design and operation of pedestrian spaces. This article describes a macroscopic model of pedestrian flows through networks composed of bidirectional corridors that are connected by multidirectional intersections. The proposed model builds on an existing pedestrian bidirectional fundamental diagram to define bidirectional sending and receiving flows, and it relies on the incremental transfer principle to model bidirectional flows across nodes with an arbitrary number of adjacent links. The model is solved in a cell-transmission formulation that is in all of its unidirectional properties consistent with the kinematic wave model.

Suggested Citation

  • Moustaid, Elhabib & Flötteröd, Gunnar, 2021. "Macroscopic model of multidirectional pedestrian network flows," Transportation Research Part B: Methodological, Elsevier, vol. 145(C), pages 1-23.
  • Handle: RePEc:eee:transb:v:145:y:2021:i:c:p:1-23
    DOI: 10.1016/j.trb.2020.12.004
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    Cited by:

    1. Jiang, Yan-Qun & Zhou, Shu-Guang & Duan, Ya-Li & Huang, Xiao-Qian, 2023. "A viscous continuum model with smoke effect for pedestrian evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 621(C).
    2. Rangel-Galván, Maricruz & Ballinas-Hernández, Ana L. & Rangel-Galván, Violeta, 2024. "Thermo-inspired model of self-propelled hard disk agents for heterogeneous bidirectional pedestrian flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).
    3. Jiang, Yan-Qun & Hu, Ying-Gang & Huang, Xiaoqian, 2022. "Modeling pedestrian flow through a bottleneck based on a second-order continuum model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).

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