Cellular automata models of traffic flow along a highway containing a junction

Abstract

We examine various realistic generalizations of the basic cellular automaton model describing traffic flow along a highway. In particular, we introduce a {\em slow-to-start} rule which simulates a possible delay before a car pulls away from being stationary. Having discussed the case of a bare highway, we then consider the presence of a junction. We study the effects of acceleration, disorderness, and slow-to-start behavior on the queue length at the entrance to the highway. Interestingly, the junction's efficiency is {\it improved} by introducing disorderness along the highway, and by imposing a speed limit.

to appear in J. Phys. A:Math.& General. 15 pages, RevTeX, 3 Postscript figures

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• Self Organization and a Dynamical Transition in Traffic Flow Models
• Discrete stochastic models for traffic flow
• Emergent Traffic Jams
• Deterministic Models for Traffic Jams
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