A Force-Based Model to Reproduce Stop-and-Go Waves in Pedestrian Dynamics

Mohcine Chraibi (), Antoine Tordeux () and Andreas Schadschneider ()
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Mohcine Chraibi: Forschungszentrum Jülich GmbH, Jülich Supercomputing Centre
Antoine Tordeux: Forschungszentrum Jülich GmbH, Jülich Supercomputing Centre
Andreas Schadschneider: Institute for Theoretical Physics, Universität zu Köln

A chapter in Traffic and Granular Flow '15, 2016, pp 169-175 from Springer

Abstract: Abstract Stop-and-go wavesChraibi, Mohcine in single-fileTordeux, Antoine movementSchadschneider, Andreas are a phenomenon that is observed empirically in pedestrian dynamics. It manifests itself by the co-existence of two phases: moving and stopping pedestrians. We show analytically based on a simplified one-dimensional scenario that under some conditions the system can have unstable homogeneous solutions. Hence, oscillations in the trajectories and instabilities emerge during simulations. To our knowledge there exists no force-based model which is collision- and oscillation-free and meanwhile can reproduce phase separation. We develop a new force-based model for pedestrian dynamics able to reproduce qualitatively the phenomenon of phase separation. We investigate analytically the stability condition of the model and define regimes of parameter values where phase separation can be observed. We show by means of simulations that the predefined conditions lead in fact to the expected behaviour and validate our model with respect to empirical findings.

Keywords: Force-based Model; Pedestrian Dynamics; Stopping Pedestrians; Fundamental Diagram; Unrealistic Dynamics (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-33482-0_22

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DOI: 10.1007/978-3-319-33482-0_22

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