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Quickest Paths In Simulations Of Pedestrians

Author

Listed:
  • TOBIAS KRETZ

    (PTV Planung Transport Verkehr AG, Stumpfstr. 1, D-76131 Karlsruhe, Germany)

  • ANDREE GROßE

    (PTV Planung Transport Verkehr AG, Stumpfstr. 1, D-76131 Karlsruhe, Germany)

  • STEFAN HENGST

    (PTV Planung Transport Verkehr AG, Stumpfstr. 1, D-76131 Karlsruhe, Germany)

  • LUKAS KAUTZSCH

    (PTV Planung Transport Verkehr AG, Stumpfstr. 1, D-76131 Karlsruhe, Germany)

  • ANDREJ POHLMANN

    (PTV Planung Transport Verkehr AG, Stumpfstr. 1, D-76131 Karlsruhe, Germany)

  • PETER VORTISCH

    (Institut für Verkehrswesen, Karlsruhe Institute of Technology (KIT), D-76128 Karlsruhe, Germany)

Abstract

This contribution proposes a method to make agents in a microscopic simulation of pedestrian traffic walk approximately along a path of estimated minimal remaining travel time to their destination. Usually models of pedestrian dynamics are (implicitly) built on the assumption that pedestrians walk along the shortest path. Model elements formulated to make pedestrians locally avoid collisions and intrusion into personal space do not produce motion on quickest paths. Therefore a special model element is needed, if one wants to model and simulate pedestrians for whom travel time matters most (e.g. travelers in a station hall who are late for a train). Here such a model element is proposed, discussed and used within the Social Force Model.

Suggested Citation

  • Tobias Kretz & Andree Große & Stefan Hengst & Lukas Kautzsch & Andrej Pohlmann & Peter Vortisch, 2011. "Quickest Paths In Simulations Of Pedestrians," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 14(05), pages 733-759.
    • Handle: RePEc:wsi:acsxxx:v:14:y:2011:i:05:n:s0219525911003281
    DOI: 10.1142/S0219525911003281
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    Cited by:

    1. Li, Xiao-Yang & Lin, Zhi-Yang & Zhang, Peng & Zhang, Xiao-Ning, 2023. "Reconstruction of density and cost potential field of Eikonal equation: Applications to discrete pedestrian flow models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).
    2. Ziyou Gao & Yunchao Qu & Xingang Li & Jiancheng Long & Hai-Jun Huang, 2014. "Simulating the Dynamic Escape Process in Large Public Places," Operations Research, INFORMS, vol. 62(6), pages 1344-1357, December.
    3. Makmul, J., 2024. "A hierarchy of the optimal velocity model with optimal path for pedestrian evacuation: From microscopic to macroscopic models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 643(C).
    4. von Schantz, Anton & Ehtamo, Harri, 2022. "Minimizing the evacuation time of a crowd from a complex building using rescue guides," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).

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