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

Authors Dario A. Bini, Beatrice Meini, Vaidyanathan Ramaswami



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Author Details

Dario A. Bini
Beatrice Meini
Vaidyanathan Ramaswami

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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

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.

Subject Classification

Keywords
  • Renewal processes
  • tail decay
  • M/G/1-type Markov chains

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