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On the Validation of a Discrete-Continuous Model with Bottleneck Flow and Computational Artifacts

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Abstract

A connection of a width of a bottleneck and unidirectional virtual people flow by the discrete-continuous pedestrian movement model (Kirik et al. Fundamental diagram as a model input direct movement equation of pedestrian dynamics. In: Proceedings of the international conference pedestrian and evacuation dynamics‘2012, Zurich. Springer, 2014) is investigated. Specific and full flow rates versus bottleneck width are presented. Computational artifacts that are pronounced while simulation in front of bottleneck are discussed.

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Notes

  1. 1.

    Here and below under “obstacle” we mean only walls, furniture. People are never called “obstacle”. There is unified coordinate system, and all data are given in this system.

  2. 2.

    We assume that free movement speed is random normal distributed value with some mathematical expectation and dispersion [3, 4].

  3. 3.

    Mainly with value > 0.9.

References

  1. M. Chraibi, A. Seyfried, A. Schadschneider, Generalized centrifugal-force model for pedestrian dynamics. Phys. Rev. E 82, 046111 (2010)

    Article  Google Scholar 

  2. D. Helbing, I. Farkas, T. Vicsek, Simulating dynamical features of escape panic. Nature, 407, 487–490 (2000)

    Article  Google Scholar 

  3. V. Kholshevnikov, Forecast of human behavior during fire evacuation, in Proceedings of the International conference Emergency evacuation of people from buildings – EMEVAC, Warsaw (Belstudio, 2011), pp. 139–153

    Google Scholar 

  4. V. Kholshevnikov, D. Samoshin, Evacuation and Human Behavior in Fire (Academy of State Fire Service, EMERCOM of Russia, Moscow, 2009)

    Google Scholar 

  5. E. Kirik, T. Yurgel’yan, D. Krouglov, The shortest time and/or the shortest path strategies in a ca ff pedestrian dynamics model. J. Sib. Fed. Univ. Math. Phys. 2(3), 271–278 (2009)

    Google Scholar 

  6. E. Kirik, T. Yurgel’yan, D. Krouglov, On realizing the shortest time strategy in a CA FF pedestrian dynamics model. Cybern. Syst. 42(1), 1–15 (2011)

    Google Scholar 

  7. E. Kirik, T. Yurgel’yan, A. Malyshev, On discrete-continuous stochastic floor field pedestrian dynamics model SIgMA.DC, in Proceedings of the International conference Emergency evacuation of people from buildings – EMEVAC, Warsaw (Belstudio, 2011), pp. 155–161

    Google Scholar 

  8. E. Kirik, A. Malyshev, E. Popel, Fundamental diagram as a model input direct movement equation of pedestrian dynamics, in Proceedings of the International conference Pedestrian and Evacuation Dynamics‘2012, Zurich (Springer, 2014), pp. 691–703

    Google Scholar 

  9. V.M. Predtechenskii, A.I. Milinskii, Planing for Foot Traffic Flow in Buildings (American Publishing, New Dehli, 1978). Translation of Proektirovanie Zhdanii s Uchetom organizatsii Dvizheniya Lyudskikh potokov (Stroiizdat Publishers, Moscow, 1969)

    Google Scholar 

  10. C. Rogsch, Vergleichende Untersuchungen zur dynamischen Simulation von Personenstroumen, Diploma thesis of the University of Wuppertal and the Research Center Julich, 2005

    Google Scholar 

  11. A. Schadschneider, A. Seyfried, Validation of CA models of pedestrian dynamics with fundamental diagrams. Cybern. Syst. 40(5), 367–389 (2009)

    Article  MATH  Google Scholar 

  12. A. Schadschneider, W. Klingsch, H. Kluepfel, T. Kretz, C. Rogsch, A. Seyfried, Evacuation dynamics: empirical results, modeling and applications. Encycl. Complex. Syst. Sci. 3, 3142–3192 (2009). Springer

    Google Scholar 

  13. A. Seyfried, T. Rupprecht, O. Passon, B. Steffen, W. Klingsch, M. Boltes, New insights into pedestrian flow through bottlenecks. Transp. Sci. 43, 395–406 (2009)

    Article  Google Scholar 

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Acknowledgements

This work is supported by the Integration project of SB RAS, 49/2012.

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Correspondence to Ekaterina Kirik .

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Kirik, E., Malyshev, A., Popel, E. (2015). On the Validation of a Discrete-Continuous Model with Bottleneck Flow and Computational Artifacts. In: Chraibi, M., Boltes, M., Schadschneider, A., Seyfried, A. (eds) Traffic and Granular Flow '13. Springer, Cham. https://doi.org/10.1007/978-3-319-10629-8_14

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