A stochastic cellular automaton model for traffic flow with multiple metastable states
arXiv:cond-mat/0311194 · doi:10.1088/0305-4470/37/9/003
Abstract
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.
arXiv comment11 pages, 20 figures, submitted for publication
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- Metastable Congested States in Multisegment Traffic Cellular Automaton
- Stochastic Process Associated with Traveling Wave Solutions of the Sine-Gordon Equation
- Exact Solutions and Flow--Density Relations for a Cellular Automaton Variant of the Optimal Velocity Model with the Slow-to-Start Effect
- A hybrid of the optimal velocity and the slow-to-start models and its ultradiscretization