Exact loss performance analysis of an ATM multiplexer with homogeneous discrete-time on-off sources

We propose a new approach to the calculation of the exact cell loss probability in a shared buffer ATM multiplexer, which is loaded with homogeneous discrete-time on-off sources. Renewal cycles are identified in regard to the state of input sources and the buffer state on each renewal cycle is modelled as a K (shared buffer size)-state Markov chain. We also analyze the behavior of queue build-up at the shared buffer whose distribution together with the steady-state probabilities of the Markov chain leads to the exact cell loss probability. Our approach to obtaining the exact cell loss probability seems to be more efficient than most of the other existing ones since our underlying Markov chain has fewer number of states