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Instability of pedestrian flow in two-dimensional optimal velocity model

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Book cover Pedestrian and Evacuation Dynamics 2005

Abstract

A two dimensional optimal velocity model was proposed for the study of pedestrian flow. We investigate the stability of homogeneous flow in the linear approximation and show the phase diagram of the model. We also investigate the behavior of pedestrian flow by numerical simulation in the cases of unidirectional and counter flow. From these results, we present a unified understanding of the properties of pedestrian flow and other related systems.

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Author information

Authors and Affiliations

  1. Department of Physics and Earth sciences, University of the Ryukyus, Nishihara, Okinawa, 903-0213, Japan

    A. Nakayama

  2. Department of Complex Systems Science, Graduate School of Information Science, Nagoya University, Nagoya, 464-8601, Japan

    Y. Sugiyama

  3. Faculty of Business Administration, Aichi University, Miyoshi, Aichi, 470-0296, Japan

    K. Hasebe

Authors
  1. A. Nakayama
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  2. Y. Sugiyama
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  3. K. Hasebe
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Editor information

Editors and Affiliations

  1. Ingenieurbüro WALDAU, Sickenberggasse 13/3, 1190, Wien, Austria

    Nathalie Waldau

  2. Österreichisches Institut für Schul- und Sportstättenbau, Prinz-Eugen-Straße 12, 1040, Wien, Austria

    Peter Gattermann

  3. Institut für Verkehrsplanung und Verkehrstechnik, Technische Universität Wien, Gußhausstraße 30/231, 1040, Wien, Austria

    Hermann Knoflacher

  4. Physik von Transport und Verkehr, Universität Duisburg-Essen, Lotharstraße 1, 47048, Duisburg, Germany

    Michael Schreckenberg

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© 2007 Springer-Verlag Berlin Heidelberg

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Nakayama, A., Sugiyama, Y., Hasebe, K. (2007). Instability of pedestrian flow in two-dimensional optimal velocity model. In: Waldau, N., Gattermann, P., Knoflacher, H., Schreckenberg, M. (eds) Pedestrian and Evacuation Dynamics 2005. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-47064-9_29

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