The Inflection Point of the Speed–Density Relation and the Social Force Model

Tobias Kretz (), Jochen Lohmiller () and Johannes Schlaich ()
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Tobias Kretz: PTV Group
Jochen Lohmiller: PTV Group
Johannes Schlaich: PTV Group

A chapter in Traffic and Granular Flow '15, 2016, pp 145-152 from Springer

Abstract: Abstract It has beenKretz, Tobias argued thatLohmiller, Jochen the speed–densitySchlaich, Johannes digram of pedestrian movement has an inflection point. This inflection point was found empirically in investigations of closed-loop single-file pedestrian movement. The reduced complexity of single-file movement does not only allow a higher precision for the evaluation of empirical data, but it occasionally also allows analytical considerations for microsimulation models. In this way it will be shown that certain (common) variants of the Social Force Model (SFM) do not produce an inflection point in the speed–density diagram if infinitely many pedestrians contribute to the force computed for one pedestrian. We propose a modified Social Force Model that produces the inflection point.

Keywords: Social Force Model (SFM); Speed-density Relation; Single-file Movement; Pedestrians; Circular Specification (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_19

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DOI: 10.1007/978-3-319-33482-0_19

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