Analyzing buffer contents of space division output buffered multichannel switches

In digital communication systems, buffers are used for the temporary storage of digital information awaiting transmission via some communication channel(s). In this article, buffer analysis of space division output buffered switches operating in an ATM environment is presented. The switch is modeled as a discrete-time, batch arrival, multiserver queuing system, with infinite buffer and geometric service time. Probability Generating Functions (PGFs) of the system occupancy are derived for single server, two servers, and a general form for multiserver systems. Expectations for the corresponding random variables are obtained for different cases. Many numerical examples, which verify the results, are presented.