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The Fundamental Diagram of Pedestrian Movement Revisited — Empirical Results and Modelling

In: Traffic and Granular Flow’05

Author

Listed:
  • Armin Seyfried

    (Forschungszentrum Jülich GmbH, Central Institute for Applied Mathematics)

  • Bernhard Steffen

    (Forschungszentrum Jülich GmbH, Central Institute for Applied Mathematics)

  • Wolfram Klingsch

    (University of Wuppertal, Institute for Building Material Technology and Fire Safety Science)

  • Thomas Lippert

    (Forschungszentrum Jülich GmbH, Central Institute for Applied Mathematics)

  • Maik Boltes

    (Forschungszentrum Jülich GmbH, Central Institute for Applied Mathematics)

Abstract

Summary The simplest system for the investigation of the fundamental diagram for pedestrians is the single-file movement. We present experimental results for this system and discuss the observed linear relation between the velocity and the inverse of the density. For the modelling we treat pedestrians as self-driven objects moving in a continuous space. On the basis of a modified social force model we analyze qualitatively the influence of various approaches for the interactions of pedestrians on the resulting velocity-density relation. The one-dimensional model allows focusing on the role of the required length and remote force. We found that the reproduction of the typical form of the fundamental diagram is possible if one considers the increase of the required length of a person with increasing current velocity. Furthermore we demonstrate the influence of a remote force on the velocity-density relation.

Suggested Citation

  • Armin Seyfried & Bernhard Steffen & Wolfram Klingsch & Thomas Lippert & Maik Boltes, 2007. "The Fundamental Diagram of Pedestrian Movement Revisited — Empirical Results and Modelling," Springer Books, in: Andreas Schadschneider & Thorsten Pöschel & Reinhart Kühne & Michael Schreckenberg & Dietrich E. Wol (ed.), Traffic and Granular Flow’05, pages 305-314, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-47641-2_26
    DOI: 10.1007/978-3-540-47641-2_26
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