Cellular Automaton Traffic Flow Model Research Articles

THE EVOLUTION EQUATION OF THE CA TRAFFIC-FLOW-MODLE AND THE EFFECT OF TURNING PROBABILITY

A group of evolution equations and a expression of the flow speed, in traffic describing a 2D cellular automaton traffic-flow model are presented.A turning probability is introduced into the model to simulate the traffic jam.The effects caused by the turning probability are abserved in computer simulation.

Jam phases in a two-dimensional cellular-automaton model of traffic flow.

The jam phases in a two-dimensional cellular automata model of traffic flow are investigated by computer simulations. Two different types of the jam phases are found. The spatially diagonal long-range correlation obeys the power law at the low-density jam configurations. The diagonal correlation exponentially decays at the high-density jam. The exponent of the short-range correlation in the diagonal direction is introduced to define the transition between these two phases. We also discuss the stability of the jams.

Jamming transition in the traffic-flow model with two-level crossings.

We investigate the effect of two-level crossings on the traffic jam in the cellular-automaton (CA) model of traffic flow. The CA model is an extended version of the traffic-flow model proposed by Biham, Middleton, and Levine [Phys. Rev. A 46, R6124 (1992)]. Its model is described in terms of the CA on the disordered square lattice with two components: one is the site of three states representing the one-level crossing and the other is the site of four states representing the two-level crossing. We find that the dynamical jamming transition does not occur when the fraction c of the two-level crossings becomes larger than the percolation threshold ${\mathit{p}}_{\mathit{p},}$c (cg${\mathit{p}}_{\mathit{p},}$c). The dynamical jamming transition occurs at higher density p of cars with increasing fraction c of the two-level crossings below the percolation threshold (c${\mathit{p}}_{\mathit{p},}$c). We also present a simple mean-field theory for the jamming transition in traffic flow with two-level crossings.