Quantitative analysis of pedestrian counterflow in a cellular automaton model
Abstract
Pedestrian dynamics exhibits various collective phenomena. Here we study bidirectional pedestrian flow in a floor field cellular automaton model. Under certain conditions, lane formation is observed. Although it has often been studied qualitatively, e.g., as a test for the realism of a model, there are almost no quantitative results, neither empirically nor theoretically. As basis for a quantitative analysis we introduce an order parameter which is adopted from the analysis of colloidal suspensions. This allows to determine a phase diagram for the system where four different states (free flow, disorder, lanes, gridlock) can be distinguished. Although the number of lanes formed is fluctuating, lanes are characterized by a typical density. It is found that the basic floor field model overestimates the tendency towards a gridlock compared to experimental bounds. Therefore an anticipation mechanism is introduced which reduces the jamming probability.
Keywords
Cite
@article{arxiv.1206.3084,
title = {Quantitative analysis of pedestrian counterflow in a cellular automaton model},
author = {Stefan Nowak and Andreas Schadschneider},
journal= {arXiv preprint arXiv:1206.3084},
year = {2012}
}
Comments
11 pages, 12 figures, accepted for publication in Phys. Rev. E