Cellular automation models and traffic flow

✍ Scribed by Schadschneider, A; Schreckenberg, M

• Book ID: 120809881
• Publisher: Institute of Physics
• Year: 1993
• Tongue: English
• Weight: 250 KB
• Volume: 26
• Category: Article
• ISSN: 0305-4470
• DOI: 10.1088/0305-4470/26/15/011

✦ Synopsis

A recently introduced cellular automaton model for the description of traffic flow is investigated. It generalizes asymmetric exclusion models which have attracted B lot of interest in the past. We calculate the so-called fundamental diagram (Row vesus density) for parallel dynamics using an improved mean-field approximation which takes into account shon-range correlations. For mawimum velocity we find that the simplest of these non-trivial approximations gives the exact result. For higher velocities our results are in excellent agreement with numerical data.

The investigation of traffic flow in the past was based mainly on the use of fluid-dynamical methods. In recent years methods of nonlinear dynamics have also been applied. On the