A stochastic cellular automaton model for traffic flow with multiple metastable states

Details A stochastic cellular automaton model for traffic flow with multiple metastable states A stochastic cellular automaton model for traffic flow with multiple metastable states

2003-11-10

arxiv.org/abs/cond-mat/0311194v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 20 figures, submitted for publication

Scientific paper

10.1088/0305-4470/37/9/003

A new stochastic cellular automaton (CA) model of traffic flow, which includes slow-to-start effects and a driver's perspective, is proposed by extending the Burgers CA and the Nagel-Schreckenberg CA model. The flow-density relation of this model shows multiple metastable branches near the transition density from free to congested traffic, which form a wide scattering area in the fundamental diagram. The stability of these branches and their velocity distributions are explicitly studied by numerical simulations.

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