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

G. Diedrich·L. Santen·A. Schadschneider·J. Zittartz
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Abstract

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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G. Diedrich, L. Santen, A. Schadschneider, J. Zittartz. 2000-01-13. Effect of on- and off-ramps in cellular automata models for traffic flow. https://doi.org/10.1142/s0129183100000316

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