Email this article On the Convergence Rate for Queueing and Reliability Models Described by Regenerative Processes*
- Authors: Afanasyeva L.G.1, Tkachenko A.2
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Affiliations:
- Lomonosov Moscow State University
- National Research University Higher School of Economics
- Issue: Vol 218, No 2 (2016)
- Pages: 119-136
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238180
- DOI: https://doi.org/10.1007/s10958-016-3015-7
- ID: 238180
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Abstract
Convergence rates in total variation are established for some models of queueing theory and reliability theory. The analysis is based on renewal technique and asymptotic results for the renewal function. It is shown that convergence rate has an exponential asymptotics when the distribution function of the regeneration period satisfies Cramér’s condition. Results concerning polynomial convergence are also obtained.
About the authors
L. G. Afanasyeva
Lomonosov Moscow State University
Author for correspondence.
Email: afanas@mech.math.msu.su
Russian Federation, Moscow
A.V. Tkachenko
National Research University Higher School of Economics
Email: afanas@mech.math.msu.su
Russian Federation, Moscow
