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Discrete Dynamics in Nature and Society
Volume 2012, Article ID 405907, 13 pages
Research Article

Pedestrian Walking Behavior Revealed through a Random Walk Model

Department of Transportation Engineering, Beijing Institute of Technology, Beijing 100084, China

Received 27 September 2012; Accepted 4 November 2012

Academic Editor: Geert Wets

Copyright © 2012 Hui Xiong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper applies method of continuous-time random walks for pedestrian flow simulation. In the model, pedestrians can walk forward or backward and turn left or right if there is no block. Velocities of pedestrian flow moving forward or diffusing are dominated by coefficients. The waiting time preceding each jump is assumed to follow an exponential distribution. To solve the model, a second-order two-dimensional partial differential equation, a high-order compact scheme with the alternating direction implicit method, is employed. In the numerical experiments, the walking domain of the first one is two-dimensional with two entrances and one exit, and that of the second one is two-dimensional with one entrance and one exit. The flows in both scenarios are one way. Numerical results show that the model can be used for pedestrian flow simulation.