Basics of Modelling the Pedestrian Flow

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dc.creatorSeyfried, Armin
dc.creatorSteffen, Bernhard
dc.creatorLippert, Thomas
dc.date2005-06-27
dc.date2005-08-10
dc.date.accessioned2026-07-07T06:29:33Z
dc.date.available2026-07-07T06:29:33Z
dc.descriptionFor the modelling of pedestrian dynamics we treat persons as self-driven objects moving in a continuous space. On the basis of a modified social force model we qualitatively analyze the influence of various approaches for the interaction between the pedestrians on the resulting velocity-density relation. To focus on the role of the required space and remote force we choose a one-dimensional model for this investigation. For those densities, where in two dimensions also passing is no longer possible and the mean value of the velocity depends primarily on the interaction, we obtain the following result: If the model increases the required space of a person with increasing current velocity, the reproduction of the typical form of the fundamental diagram is possible. Furthermore we demonstrate the influence of the remote force on the velocity-density relation.
dc.description9 pages, 3 figures, Changes: Parameter e=0.51 corrected to e =0.07 (see Fig. 2) and prep. for subm. to Phys. Rev. E
dc.identifierhttps://arxiv.org/abs/physics/0506189
dc.identifierhttp://arxiv.org/abs/physics/0506189
dc.identifierPhysica A, Volume 368, Issue 1, 1 August 2006, Pages 232-238
dc.identifierdoi:10.1016/j.physa.2005.11.052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98072
dc.subjectPhysics and Society
dc.subjectStatistical Mechanics
dc.titleBasics of Modelling the Pedestrian Flow
dc.typetext

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