Metastable States in a Microscopic Model of Traffic Flow

Krauß, Stefan and Wagner, Peter and Gawron, Christian (1997) Metastable States in a Microscopic Model of Traffic Flow.
Published in: Physical Review : E, Statistical, nonlinear, and soft matter physics Vol. 55 (5). pp. 5597-5602.


It is a well known fact that metastable states of very high throughput and hysteresis effects exist in traffic flow, which the simple cellular automaton (CA) model of traffic flow and its continuous generalization fail to reproduce. It is shown that the model can be generalized to give a one-parametric family of models, a part of which reproduces the metastable states and the hysteresis. The models having that property and those not having it are separated by a transition that can be clearly identified.

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