Performance analysis of an ATM statistical multiplexer with batch arrivals

The authors propose a method for evaluating the impact of bursty traffic sources on the performance of an ATM multiplexer which can handle packetised voice, data and video traffic. The multiplexer is modelled as a single-server queue with batch phase type Markov renewal input. The authors describe an analytical approach to the solutions of such queueing systems with finite capacity using the matrix analytic method. The methodology was chosen because its ability to model exactly complex nonMarkovian models having correlated, nonrenewal input processes. It is nearly impossible to obtain exact expressions using the classical method of generating functions. A study of different mixed traffic assumptions indicates that bursty traffic does have a very significant effect on the loss performance