Simulation for pedestrian dynamics by real-coded cellular automata (RCA)

In this paper, we propose a new approach for pedestrian dynamics. We call it a real-coded cellular automata (RCA). The scheme is based on the real-coded lattice gas (RLG), which has been developed for fluid simulation. Similar to RLG, the position and velocity can be freely given, independent of grid points. Our strategy including the procedure for updating the position of each pedestrian is explained. It is shown that the movement of pedestrians in an oblique direction to the grid is successfully simulated by RCA, which was not taken into account in the previous CA models. Moreover, from simulations of evacuation from a room with an exit of various widths, we obtain the critical number of people beyond which the clogging appears at the exit.

[1]  Pierre Lallemand,et al.  Lattice Gas Hydrodynamics in Two and Three Dimensions , 1987, Complex Syst..

[2]  Raymond Kapral,et al.  Continuous-velocity lattice-gas model for fluid flow , 1998 .

[3]  Hirotada Ohashi,et al.  Immiscible real-coded lattice gas , 2000 .

[4]  T. Nagatani,et al.  Jamming transition in two-dimensional pedestrian traffic , 2000 .

[5]  A. Schadschneider,et al.  Simulation of pedestrian dynamics using a two dimensional cellular automaton , 2001 .

[6]  C. Saloma,et al.  Streaming, disruptive interference and power-law behavior in the exit dynamics of confined pedestrians , 2002 .

[7]  Frisch,et al.  Lattice gas automata for the Navier-Stokes equations. a new approach to hydrodynamics and turbulence , 1989 .

[8]  Y. Pomeau,et al.  Lattice-gas automata for the Navier-Stokes equation. , 1986, Physical review letters.

[9]  B. Chopard,et al.  A lattice Boltzmann model for particle transport and deposition , 1998 .

[10]  Victor J. Blue,et al.  Cellular automata microsimulation for modeling bi-directional pedestrian walkways , 2001 .

[11]  Li Jian,et al.  Simulation of bi-direction pedestrian movement in corridor , 2005 .

[12]  Dirk Helbing,et al.  Simulating dynamical features of escape panic , 2000, Nature.

[13]  Andreas Schadschneider,et al.  Extended Floor Field CA Model for Evacuation Dynamics , 2004, IEICE Trans. Inf. Syst..

[14]  Andreas Schadschneider,et al.  Simulation of evacuation processes using a bionics-inspired cellular automaton model for pedestrian dynamics , 2002 .

[15]  D. Helbing Traffic and related self-driven many-particle systems , 2000, cond-mat/0012229.

[16]  Andreas Schadschneider,et al.  Friction effects and clogging in a cellular automaton model for pedestrian dynamics. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.