This paper examines a discrete-time queuing system with applications to
telecommunications traffic. The arrival process is a particular Markov
modulated process which belongs to the class of discrete batched Markovian
arrival processes. The server process is a single server deterministic queue. A
closed form exact solution is given for the expected queue length and delay. A
simple system of equations is given for the probability of the queue exceeding
a given length.Comment: to appear Performance Evaluatio