276 citations · 975 across the 33 of their papers we have counts for
36 papers
An analytical solution of the Social Force Model for uni-directional flow
Tobias Kretz
A function for the dependence of flow on pedestrian density is derived analytically from the Social Force Model (SFM) for the case of a homogeneous population walking in the same d…
Applied hybrid binary mixed logit to investigate pedestrian crossing safety at midblock and unsignalized intersection
Mohammad Ali Arman, Amir Rafe, Tobias Kretz
Pedestrian's crossing from unsignalized locations at intersections or midblock locations is a risky decision that could lead to fatal accidents. Despite making a decision to accept…
Some Indications on how to Calibrate the Social Force Model of Pedestrian Dynamics
Tobias Kretz, Jochen Lohmiller, Peter Sukennik
The Social Force Model of pedestrian dynamics is formulated in a way that a) most of its parameters do not have an immediate interpretation, b) often one single parameter has an im…
The Social Force Model and its Relation to the Kladek Formula
Tobias Kretz, Jochen Lohmiller, Johannes Schlaich
It was recently found that the Social Force Model of pedestrian dynamics in a macroscopic limit for 1d movement does not reproduce the empirically found inflection point of the spe…
The Inflection Point of the Speed-Density Relation and the Social Force Model
Tobias Kretz, Jochen Lohmiller, Johannes Schlaich
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…
On Oscillations in the Social Force Model
Tobias Kretz
The Social Force Model is one of the most prominent models of pedestrian dynamics. As such naturally much discussion and criticism has spawned around it, some of which concerns the…