MODELING TRAFFIC QUEUES AT A SIGNALIZED INTERSECTION WITH VEHICLE-ACTUATED CONTROL AND MARKOVIAN ARRIVAL PROCESSES

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