Buffering of Slow Terminals

In a previous paper, a model for queuing processes with correlated inputs was analyzed. To illustrate the application of those results, we model a concentrator of slow terminals. The sources of data, the terminals, generate data at a slower rate than the output speed of the buffer. In special cases, we obtain closed-form expressions for the generating function of the equilibrium queue size distribution. For the general case, we describe a computational procedure to obtain the distribution and the average of queue size in steady state. The numerical results obtained using this procedure are presented for a family of problems in which each message consists of two packets separated by a fixed time interval.