Effect of on- and off-ramps in cellular automata models for traffic flow

Details Effect of on- and off-ramps in cellular automata models for traffic flow Effect of on- and off-ramps in cellular automata models for traffic flow

2000-01-13

arxiv.org/abs/cond-mat/0001196v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 9 figures, accepted for publication in Int. J. Mod. Phys. C

Scientific paper

10.1142/S0129183100000316

We present results on the modeling of on- and off-ramps in cellular automata for traffic flow, especially the Nagel-Schreckenberg model. We study two different types of on-ramps that cause qualitatively the same effects. In a certain density regime one observes plateau formation in the fundamental diagram. The plateau value depends on the input-rate of cars at the on-ramp. The on-ramp acts as a local perturbation that separates the system into two regimes: A regime of free flow and another one where only jammed states exist. This phase separation is the reason for the plateau formation and implies a behaviour analogous to that of stationary defects. This analogy allows to perform very fast simulations of complex traffic networks with a large number of on- and off-ramps because one can parametrise on-ramps in an exceedingly easy way.

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