Force-based models of pedestrian dynamics

Pages: 425 - 442, Volume 6, Issue 3, September 2011

doi:10.3934/nhm.2011.6.425       Abstract        References        Full Text (729.9K)       Related Articles

Mohcine Chraibi - Jülich Supercomputing Centre, Forschungszentrum Jülich, 52425 Jülich, Germany (email)
Ulrich Kemloh - Jülich Supercomputing Centre, Forschungszentrum Jülich, 52425 Jülich, Germany (email)
Andreas Schadschneider - Institute for Theoretical Physics, University of Cologne, 50937 Köln, Germany (email)
Armin Seyfried - Jülich Supercomputing Centre, Forschungszentrum Jülich, 52425 Jülich, Germany (email)

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.

Keywords:  Pedestrian dynamics, flow, bottleneck, force-based models.
Mathematics Subject Classification:  Primary: 82C22, 97M99; Secondary: 990B20.

Received: December 2010;      Revised: May 2011;      Published: August 2011.

 References