Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics], 2018, Issue 1, Pages 31–41
DOI: https://doi.org/10.26456/vtpmk492 (Mi vtpmk492) 		 
Theory of Probability and Mathematical Statistics

Average loss rate in discrete nonhomogeneous $M/G/\infty$ model

O. I. Sidorova

Tver State University, Tver
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DOI: https://doi.org/10.26456/vtpmk492
Abstract: In this paper we investigate asymptotical behavior of average loss rate in discrete version of $M/G/\infty$–model under assumption that distributions of active periods lenghtes belong to the set consisting of finite number distributions with different regularly varying tails. We indicate some conditions under which influence of each distribution on system performance measures is nontrivial.
Keywords: long–range dependence, heavy–tailed distributions, \linebreak $M/G/\infty$ arrival process, ON/ОFF–process, finite buffer, average loss rate.
Funding agency Grant number
Russian Foundation for Basic Research 18-07-00678
Received: 05.02.2018
Revised: 10.03.2018
Bibliographic databases:
Document Type: Article
UDC: 519.216
Language: Russian
Citation: O. I. Sidorova, “Average loss rate in discrete nonhomogeneous $M/G/\infty$ model”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2018, no. 1, 31–41
Citation in format AMSBIB
\Bibitem{Sid18}
\by O.~I.~Sidorova
\paper Average loss rate in discrete nonhomogeneous $M/G/\infty$ model
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2018
\issue 1
\pages 31--41
\mathnet{http://mi.mathnet.ru/vtpmk492}
\crossref{https://doi.org/10.26456/vtpmk492}
\elib{https://elibrary.ru/item.asp?id=32697534}
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