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An entropy model to measure heterogeneity of pedestrian crowds using self-propelled agents

Author

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  • Rangel-Huerta, A.
  • Ballinas-Hernández, A.L.
  • Muñoz-Meléndez, A.

Abstract

An entropy model to characterize the heterogeneity of a pedestrian crowd in a counter-flow corridor is presented. Pedestrians are modeled as self-propelled autonomous agents that are able to perform maneuvers to avoid collisions based on a set of simple rules of perception and action. An observer can determine a probability distribution function of the displayed behavior of pedestrians based only on external information. Three types of pedestrian are modeled, relaxed, standard and hurried pedestrians depending on their preferences of turn and non-turn when walking. Thus, using these types of pedestrians two crowds can be simulated: homogeneous and heterogeneous crowds.

Suggested Citation

  • Rangel-Huerta, A. & Ballinas-Hernández, A.L. & Muñoz-Meléndez, A., 2017. "An entropy model to measure heterogeneity of pedestrian crowds using self-propelled agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 213-224.
    • Handle: RePEc:eee:phsmap:v:473:y:2017:i:c:p:213-224
    DOI: 10.1016/j.physa.2016.12.090
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    References listed on IDEAS

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    1. Dirk Helbing & Lubos Buzna & Anders Johansson & Torsten Werner, 2005. "Self-Organized Pedestrian Crowd Dynamics: Experiments, Simulations, and Design Solutions," Transportation Science, INFORMS, vol. 39(1), pages 1-24, February.
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    3. Muramatsu, Masakuni & Irie, Tunemasa & Nagatani, Takashi, 1999. "Jamming transition in pedestrian counter flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 267(3), pages 487-498.
    4. Ana Luisa Ballinas-Hernández & Angélica Muñoz-Meléndez & Alejandro Rangel-Huerta, 2011. "Multiagent System Applied to the Modeling and Simulation of Pedestrian Traffic in Counterflow," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 14(3), pages 1-2.
    5. Rangel-Huerta, A. & Muñoz-Meléndez, A., 2010. "Kinetic theory of situated agents applied to pedestrian flow in a corridor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(5), pages 1077-1089.
    6. Weng, W.G. & Shen, S.F. & Yuan, H.Y. & Fan, W.C., 2007. "A behavior-based model for pedestrian counter flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(2), pages 668-678.
    7. Parisi, Daniel R. & Gilman, Marcelo & Moldovan, Herman, 2009. "A modification of the Social Force Model can reproduce experimental data of pedestrian flows in normal conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3600-3608.
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