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], 2021, Issue 4, Pages 5–13
DOI: https://doi.org/10.26456/vtpmk626 (Mi vtpmk626) 		 
Theory of Probability and Mathematical Statistics

On the stationary distributions in some queueing systems

V. N. Soboleva, A. E. Kondratenkob

a Laboratory of TVP, Moscow
b Lomonosov Moscow State University, Moscow
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DOI: https://doi.org/10.26456/vtpmk626
Abstract: This paper deals with two queuing system: $M_{\lambda}|G|n|\infty$ and $GI_{\lambda}^{\nu}|M_{\mu}|1|\infty$. The purpose is to find the steady-state results in terms of the probability-generating functions.
Keywords: queueing system, batch arrivals, probability generating functions, embedded Markov chain, renewal process.
Received: 11.11.2021
Revised: 02.12.2021
Bibliographic databases:
Document Type: Article
UDC: 519.872, 519.217.2, 519.113.3
MSC: 60K25
Language: Russian
Citation: V. N. Sobolev, A. E. Kondratenko, “On the stationary distributions in some queueing systems”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2021, no. 4, 5–13
Citation in format AMSBIB
\Bibitem{SobCon21}
\by V.~N.~Sobolev, A.~E.~Kondratenko
\paper On the stationary distributions in some queueing systems
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2021
\issue 4
\pages 5--13
\mathnet{http://mi.mathnet.ru/vtpmk626}
\crossref{https://doi.org/10.26456/vtpmk626}
\elib{https://elibrary.ru/item.asp?id=47418065}
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