Commun. Comput. Phys., 16 (2014), pp. 264-286.


Efficient Dynamic Floor Field Methods for Microscopic Pedestrian Crowd Simulations

Dirk Hartmann 1*, Peter Hasel 1

1 Siemens AG, Corporate Technology, 80200 Munich, Germany.

Received 20 May 2013; Accepted (in revised version) 29 January 2014
Available online 16 April 2014
doi:10.4208/cicp.200513.290114a

Abstract

Floor field methods are one of the most popular medium-scale navigation concepts in microscopic pedestrian simulators. Recently introduced dynamic floor field methods have significantly increased the realism of such simulations, i.e. agreement of spatio-temporal patterns of pedestrian densities in simulations with real world observations. These methods update floor fields continuously taking other pedestrians into account. This implies that computational times are mainly determined by the calculation of floor fields. In this work, we propose a new computational approach for the construction of dynamic floor fields. The approach is based on the one hand on adaptive grid concepts and on the other hand on a directed calculation of floor fields, i.e. the calculation is restricted to the domain of interest. Combining both techniques the computational complexity can be reduced by a factor of 10 as demonstrated by several realistic scenarios. Thus on-line simulations, a requirement of many applications, are possible for moderate realistic scenarios.

AMS subject classifications: 52B10, 65D18, 68U05, 68U07

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Key words: Pedestrian dynamics, cellular automata, adaptive grids, floor field methods, fast marching method, navigation.

*Corresponding author.
Email: hartmann.dirk@siemens.com (D. Hartmann), peter.hasel@googlemail.com (P. Hasel)
 

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