Vehicular traffic flow at an intersection with the possibility of turning

TL;DR

This paper presents a cellular automata model for vehicular traffic at intersections with turning, analyzing how traffic light timing, turning probabilities, and input rates affect flow and congestion through extensive simulations.

Contribution

Introduces a novel cellular automata model for traffic flow at intersections with turning, incorporating fixed-time traffic lights and probabilistic turning, supported by comprehensive Monte Carlo simulations.

Findings

Existence of a plateau region with stable outflow.

Flow depends on signal timing, turning probabilities, and input rates.

Total waiting time varies with control parameters.

Abstract

We have developed a Nagel-Schreckenberg cellular automata model for describing of vehicular traffic flow at a single intersection. A set of traffic lights operating in fixed-time scheme controls the traffic flow. Open boundary condition is applied to the streets each of which conduct a uni-directional flow. Streets are single-lane and cars can turn upon reaching to the intersection with prescribed probabilities. Extensive Monte Carlo simulations are carried out to find the model flow characteristics. In particular, we investigate the flows dependence on the signalisation parameters, turning probabilities and input rates. It is shown that for each set of parameters, there exist a plateau region inside which the total outflow from the intersection remains almost constant. We also compute total waiting time of vehicles per cycle behind red lights for various control parameters.