A discrete-time Markov modulated queuing system with batched arrivals

摘要

This paper examines a discrete-time queuing system with applications totelecommunications traffic. The arrival process is a particular Markovmodulated process which belongs to the class of discrete batched Markovianarrival processes. The server process is a single server deterministic queue. Aclosed form exact solution is given for the expected queue length and delay. Asimple system of equations is given for the probability of the queue exceedinga given length.