Bounds for fluid models driven by semi-Markov inputs

Bounds for fluid models driven by semi-Markov inputs

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Article ID: iaor20002480
Country: United States
Volume: 13
Issue: 4
Start Page Number: 429
End Page Number: 475
Publication Date: Oct 1999
Journal: Probability in the Engineering and Informational Sciences
Authors: , , ,
Keywords: markov processes
Abstract:

In this paper we consider an infinite buffer fluid model whose input is driven by independent semi-Markov processes. The output capacity of the buffer is a constant. We derive upper and lower bounds for the limiting distribution of the stationary buffer content process. We discuss examples and applications where the results can be used to determine bounds on the loss probability in the telecommunication networks.

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