Analyses of vehicular delays and queues at intersections with adaptive and fixed timing control strategies

In this paper, we develop a queuing model for a traffic-adaptive strategy to control a 2-phase intersection. The strategy is an approximation of the RHODES strategy, which essentially "switches to next phase when the served queue clears". In fact, Newell was the first to compare such a strategy with rolling horizon using a continuous-time formulation. This model can be used to analyze vehicular delays and queue distributions at an intersection with a two-phase signal, where the vehicle arrival process is Poisson, for both fixed timing signal control and traffic-adaptive signal control. Numerical results for the two control strategies are provided and compared.