Modelling traffic queues at a signalized intersection with vehicle-actuated control and Markovian Arrival Processes

We consider a four-arm signalized intersection with vehicle-actuated control in discrete time. Vehicles arrive at each arm according to the Markovian Arrival Process. Storage space at each arm is limited. The system is studied as two-phase signal and the traffic control process is described by a matrix structure that is appropriate for numerical computation. The system is modelled as two discrete finite capacity (dams) controlled by one release mechanism. Queue length distributions are obtained.