Queuing models for analysis of traffic adaptive signal control

Microsimulation models are normally used to evaluate traffic-adaptive signal control systems. This paper develops an analytical approach for this evaluation based on queuing models. In particular, a queuing model is developed for a simplified adaptive control strategy that is based on rolling horizon scheme, in which a signal serves two movements alternatively. In this strategy, the first movement is served until the queue dissipates, then the second movement is served until the queue dissipates, then the signal goes back to serving the first movement, and this cyclic process repeats. A numerical algorithm is developed in a stochastic context to compute steady-state performance measures such as average delays and expected queue lengths. These results are compared with simulation-based results, and indeed, the analytically derived numerical method predicts well the simulation results.