EFFECTIVE BANDWIDTHS FOR MARKOV REGENERATIVE SOURCES

In this paper we consider the multiplexing of independent stochastic f luid sources onto a single buffer. The rate at which a source generate s fluid is assumed to be modulated by a Markov regenerative process. W e develop the exponential decay rates for the tails of the steady-stat e distribution of the buffer content. We also develop expressions for the effective bandwidths for such sources. All the results are in term s of the Perron-Frobenius eigenvalue of a matrix defined for the Marko v regenerative source. As a special case we derive similar results for regenerative sources. We apply the results to video sources.