Bounds for fluid models driven by semi-Markov inputs

N. Gautam; V. G. Kulkarni; Z. Palmowski; T. Rolski

doi:10.1017/S026996489913403X

Bounds for fluid models driven by semi-Markov inputs

N. Gautam, V. G. Kulkarni, Z. Palmowski, T. Rolski

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

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 telecommunication networks.

Original language	English (US)
Pages (from-to)	429-475
Number of pages	47
Journal	Probability in the Engineering and Informational Sciences
Volume	13
Issue number	4
DOIs	https://doi.org/10.1017/S026996489913403X
State	Published - 1999
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty
Management Science and Operations Research
Industrial and Manufacturing Engineering

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10.1017/S026996489913403X

Cite this

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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 telecommunication networks.",

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AB - 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 telecommunication networks.

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Bounds for fluid models driven by semi-Markov inputs

Abstract

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