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Social Field Model to Simulate Bidirectional Pedestrian Flow Using Cellular Automata

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Traffic and Granular Flow '11

Abstract

A collective phenomenon appearing in the simulation of bidirectional pedestrian flow in corridors is dynamic multi-lane (DML) flow. We present a cellular automata model that reproduces this behavior. We propose to incorporate a social distance emulating a territorial effect through a social field, similar to the dynamic floor field of Burstedde et al. (Physica A 295:507–525, 2001). This model also considers a vision field allowing a pedestrian to collect information from cells in front of him/her and to get the weighted social parameter as well; the importance of this parameter in the formation of dynamic lanes is that it helps a pedestrian to choose the lane that contains the highest concentration of persons walking in the same direction. We present numerical simulations in corridors with bidirectional flow and the fundamental diagram for unidirectional flow.

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References

  1. Burstedde C., Klauck K., Schadschneider A., and Zittartz J., Simulation of pedestrian dynamics using a two-dimensional cellular automaton. Physica A, 295:507–525, 2001.

    Article  MATH  Google Scholar 

  2. Gipps P.G. and Marksjö B., A micro-simulation model for pedestrian flows. Mathematics and computers in simulation, 27:95–105, 1985.

    Article  Google Scholar 

  3. Blue V.J. and Adler J.L., Cellular automata microsimulation for modeling bi-directional pedestrian walkways. Transportation Research Part B, 35(3):293–312, 2001.

    Article  Google Scholar 

  4. Hao Yue, Hongzhi Guan, Juan Zhang, and Chunfu Shao, Study on bi-direction pedestrian flow using cellular automata simulation. Physica A, 389:527–539, 2010.

    Article  Google Scholar 

  5. Varas A., Cornejo M.D., Mainemer D., Toledo B., Rogan J., Muñoz V., and Valdivia J.A., Cellular automaton model for evacuation process with obstacles. Physica A, 382:631–642, 2007.

    Article  Google Scholar 

  6. Fang Weifeng, Yang Lizhong, and Fan Weicheng, Simulation of bi-direction pedestrian movement using a cellular automata model. Physica A, 321:633–640, 2003.

    Article  MATH  Google Scholar 

  7. Li Jian, Yang Lizhong, and Zhao Daoliang, Simulation of bi-direction pedestrian movement in corridor. Physica A, 354:619–628, 2005.

    Article  Google Scholar 

  8. Weng W.G., Chen T., Yuan, and Fan W.C., Cellular automaton simulation of pedestrian counter flow with different walk velocities. Phys. Rev. E, 74:036102, 2006.

    Google Scholar 

  9. Narimatsu K., Shiraishi T., and Morishita S., Acquisiting of local neighbour rules in the simulation of pedestrian flow by cellular automata, Lecture Notes in Computer Science, 3305:211–219, 2004.

    Article  Google Scholar 

  10. Was J., Gudowski B., and Matuszyk P.J., Social distances model of pedestrian dynamics, Lecture Notes in Computer Science, 4173:492–501, 2006.

    Article  Google Scholar 

  11. Helbing D. and Molnár P., Social force model for pedestrian dynamics. Phys. Rev. E, 51:4282–4286, 1995.

    Article  Google Scholar 

  12. Weidmann U., Transporttechnik der Fußgänger. Schriftenreihe des IVT 90, Zürich, Switzerland, 1992.

    Google Scholar 

  13. Klüpfel H., A cellular automaton model for crowd movement and egress simulation. PhD thesis, University of Duisburg-Essen, Germany, 2003.

    Google Scholar 

  14. Parisi D.R., Gilman M., and Moldovan H., A modification of the social force model can repreoduce experimental data of pedestrian flows in normal conditions. Physica A, 388:3600–3608, 2009.

    Article  Google Scholar 

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Acknowledgements

The authors were supported by the FOMIX grant 120375, “Desarrollo de modelos matemáticos para mejorar la operación de la Red del STC”.

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Correspondence to M. Luisa Sandoval .

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González, J.D., Sandoval, M.L., Delgado, J. (2013). Social Field Model to Simulate Bidirectional Pedestrian Flow Using Cellular Automata. In: Kozlov, V., Buslaev, A., Bugaev, A., Yashina, M., Schadschneider, A., Schreckenberg, M. (eds) Traffic and Granular Flow '11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39669-4_20

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