DagSemProc.07461.13.pdf
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On the tail decay of M/G/1-type Markov renewal processes
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Dagstuhl Seminar Proceedings, Volume 7461
Series: Dagstuhl Seminar Proceedings (DagSemProc) - License:
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- Publication Date: 2008-04-07
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Dario A. Bini, Beatrice Meini, and Vaidyanathan Ramaswami. On the tail decay of M/G/1-type Markov renewal processes. In Numerical Methods for Structured Markov Chains. Dagstuhl Seminar Proceedings, Volume 7461, pp. 1-7, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)
https://doi.org/10.4230/DagSemProc.07461.13
https://doi.org/10.4230/DagSemProc.07461.13
Abstract
The tail decay of M/G/1-type Markov renewal processes is studied. The Markov
renewal process is transformed into a Markov chain so that the problem of
tail decay is reformulated in terms of the decay of the coefficients of a
suitable power series. The latter problem is reduced to analyze the
analyticity domain of the power series.
Keywords
- Renewal processes
- tail decay
- M/G/1-type Markov chains
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