Article ID: | iaor20002487 |
Country: | United States |
Volume: | 24 |
Start Page Number: | 137 |
End Page Number: | 153 |
Publication Date: | Jan 1996 |
Journal: | Queueing Systems |
Authors: | Kulkarni V.G. |
Keywords: | markov processes |
In this paper we consider the multiplexing of independent stochastic fluid sources onto a single buffer. The rate at which a source generates fluid is assumed to be modulated by a Markov regenerative process. We develop the exponential decay rates for the tails of the steady-state distribution of the buffer content. We also develop expressions for the effective bandwidths for such sources. All the results are in terms of the Perron–Frobenius eigenvalue of a matrix defined for the Markov regenerative source. As a special case we derive similar results for regenerative sources. We apply the results to video sources.