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

2015/07/17 by Tobias Kretz, Kretz, Tobias, Jochen Lohmiller +3
Engineering · Social Sciences · #Crime Patterns and Interventions #Evacuation and Crowd Dynamics #FOS: Computer and information sciences #FOS: Physical sciences #Multiagent Systems (cs.MA) #Physics and Society (physics.soc-ph) #Urban Design and Spatial Analysis

paper · pdf · doi:10.48550/arxiv.1507.04935

openalex publication_date 2015/07/17 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

It has been argued that the speed-density 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 micosimulation 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.

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