Potential field cellular automata model for pedestrian flow

Peng Zhang, Xiao-Xia Jian, S. C. Wong, and Keechoo Choi
Phys. Rev. E 85, 021119 – Published 13 February 2012

Abstract

This paper proposes a cellular automata model of pedestrian flow that defines a cost potential field, which takes into account the costs of travel time and discomfort, for a pedestrian to move to an empty neighboring cell. The formulation is based on a reconstruction of the density distribution and the underlying physics, including the rule for resolving conflicts, which is comparable to that in the floor field cellular automaton model. However, we assume that each pedestrian is familiar with the surroundings, thereby minimizing his or her instantaneous cost. This, in turn, helps reduce the randomness in selecting a target cell, which improves the existing cellular automata modelings, together with the computational efficiency. In the presence of two pedestrian groups, which are distinguished by their destinations, the cost distribution for each group is magnified due to the strong interaction between the two groups. As a typical phenomenon, the formation of lanes in the counter flow is reproduced.

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  • Received 6 September 2011

DOI:https://doi.org/10.1103/PhysRevE.85.021119

©2012 American Physical Society

Authors & Affiliations

Peng Zhang1,3,*, Xiao-Xia Jian1,3, S. C. Wong2, and Keechoo Choi4

  • 1Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R. China
  • 2Department of Civil Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong SAR, P.R. China
  • 3Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai 200072, P.R. China
  • 4Department of Transportation Engineering, TOD-Based Sustainable Urban Transportation Center, Ajou University, Korea

  • *pzhang@mail.shu.edu.cn

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Issue

Vol. 85, Iss. 2 — February 2012

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