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URN: urn:nbn:de:0030-drops-13966
URL: http://drops.dagstuhl.de/opus/volltexte/2008/1396/
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Bini, Dario A. ; Meini, Beatrice ; Ramaswami, Vaidyanathan

On the tail decay of M/G/1-type Markov renewal processes

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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.

BibTeX - Entry

@InProceedings{bini_et_al:DSP:2008:1396,
  author =	{Dario A. Bini and Beatrice Meini and Vaidyanathan  Ramaswami},
  title =	{On the tail decay of M/G/1-type Markov renewal processes},
  booktitle =	{Numerical Methods for Structured Markov Chains},
  year =	{2008},
  editor =	{Dario Bini and Beatrice Meini and Vaidyanathan Ramaswami and Marie-Ange Remiche and Peter Taylor},
  number =	{07461},
  series =	{Dagstuhl Seminar Proceedings},
  ISSN =	{1862-4405},
  publisher =	{Internationales Begegnungs- und Forschungszentrum f{\"u}r Informatik (IBFI), Schloss Dagstuhl, Germany},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2008/1396},
  annote =	{Keywords: Renewal processes, tail decay, M/G/1-type Markov chains}
}

Keywords: Renewal processes, tail decay, M/G/1-type Markov chains
Seminar: 07461 - Numerical Methods for Structured Markov Chains
Issue Date: 2008
Date of publication: 07.04.2008

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