Citation

Gantner R. ISRN Probab. Stat. 2013; 2013: 1-10.

Copyright

(Copyright © 2013, Hindawi Publishing)

DOI

10.1155/2013/246045

PMID

unavailable

Abstract

A cellular automaton model for traffic flow is analyzed. For this model, it is shown that under ergodic initial configurations, the distribution of cars will converge in time to a mixture of free flow and solid blocks. Furthermore, the nature of the free flow and solid block distributions is fully described, thus allowing for a specific computation of throughput in terms of the parameters. The model is also shown to exhibit a hysteresis phenomenon, which is similar to what has been observed on actual highways.

Language: en