Dynamics of group motions controlled by signal processing: A cellular-automaton model and its applications

Abstract Dynamics of collective motions in a multi-element system is studied by means of a two-dimensional cellular-automaton model. Two-state signals are introduced into the system in order to examine the effect of signal co-operation on the traffic-flowing phenomenon in cities. Critical density for phase transition varies as the color arrangement changes. A translation method of signal unit is proposed in examining the signal arrangement which yields the maximum flow rate of elements. Regular arrangements of different colors realize large flow rates in the system with crossings.

[1]  Makoto S. Watanabe,et al.  Dynamical behavior of a two-dimensional cellular automaton with signal processing. (II). Effect of signal period , 2003 .

[2]  R. E. Wilson,et al.  Global bifurcation investigation of an optimal velocity traffic model with driver reaction time. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Michael Schreckenberg,et al.  A cellular automaton model for freeway traffic , 1992 .

[4]  Tsuyoshi Horiguchi,et al.  Numerical simulations for traffic-flow models on a decorated square lattice , 1998 .

[5]  K. Hasebe,et al.  Structure stability of congestion in traffic dynamics , 1994 .

[6]  Tadaki,et al.  Jam phases in a two-dimensional cellular-automaton model of traffic flow. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[7]  Andreas Schadschneider,et al.  Self-organization of traffic jams in cities: effects of stochastic dynamics and signal periods , 1999 .

[8]  K. Nagel,et al.  Deterministic models for traffic jams , 1993, cond-mat/9307064.

[9]  Makoto S. Watanabe,et al.  Dynamical behavior of a two-dimensional cellular automaton with signal processing , 2003 .

[10]  D. Helbing,et al.  Cellular Automata Simulating Experimental Properties of Traffic Flow , 1998, cond-mat/9812300.

[11]  B. Kerner THE PHYSICS OF TRAFFIC , 1999 .

[12]  Middleton,et al.  Self-organization and a dynamical transition in traffic-flow models. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[13]  S. Wolfram Statistical mechanics of cellular automata , 1983 .