Force-based models of pedestrian dynamics

Mohcine Chraibi; Ulrich Kemloh; Andreas Schadschneider; Armin Seyfried; Mohcine Chraibi; Ulrich Kemloh; Andreas Schadschneider; Armin Seyfried

doi:10.3934/nhm.2011.6.425

Networks and Heterogeneous Media

2011, Volume 6, Issue 3: 425-442. doi: 10.3934/nhm.2011.6.425

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Force-based models of pedestrian dynamics

1.
Jülich Supercomputing Centre, Forschungszentrum Jülich, 52425 Jülich
2.
Institute for Theoretical Physics, University of Cologne, 50937 Köln

Received: 01 December 2010 Revised: 01 May 2011
Primary: 82C22, 97M99; Secondary: 990B20.

Force-based models describe the interactions of pedestrians in terms of physical and social forces. We discuss some intrinsic problems of this approach, like penetration of particles, unrealistic oscillations and velocities as well as conceptual problems related to violations of Newton's laws. We then present the generalized centrifugal force model which solves some of these problems. Furthermore we discuss the problem of choosing a realistic driving force to an exit. We illustrate this problem by investigating the behaviour of pedestrians at bottlenecks.
- Pedestrian dynamics,
- flow,
- bottleneck,
- force-based models
Citation: Mohcine Chraibi, Ulrich Kemloh, Andreas Schadschneider, Armin Seyfried. Force-based models of pedestrian dynamics[J]. Networks and Heterogeneous Media, 2011, 6(3): 425-442. doi: 10.3934/nhm.2011.6.425

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Abstract

Force-based models describe the interactions of pedestrians in terms of physical and social forces. We discuss some intrinsic problems of this approach, like penetration of particles, unrealistic oscillations and velocities as well as conceptual problems related to violations of Newton's laws. We then present the generalized centrifugal force model which solves some of these problems. Furthermore we discuss the problem of choosing a realistic driving force to an exit. We illustrate this problem by investigating the behaviour of pedestrians at bottlenecks.

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