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 2, Pages 49–74
DOI: https://doi.org/10.26456/vtpmk193 (Mi vtpmk193) 		 
This article is cited in 2 scientific papers (total in 3 papers)

Theory of Probability and Mathematical Statistics

Sufficient condition for primary queues stationary distribution existence in a tandem of queuing systems

V. Kocheganov, A. V. Zorine

N.I. Lobachevsky National Research State University of Nizhny Novgorod
Full-text PDF (585 kB) Citations (3)
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DOI: https://doi.org/10.26456/vtpmk193
Abstract: A tandem of two queuing systems is under consideration. Customers having been serviced in the first system are non-instantaneously transferred to the second system. Each system has primary input flow generated by an environment. Besides the second system besides has input flow of customers that were serviced by the first system. A mathematical model is constructed in the form of a multidimensional denumerable discrete-time Markov chain defined on an explicitly built probability space. The Markov chain describing service dynamics and primary input flows queues fluctuations is investigated. A sufficient condition for the chain stationary distribution existence is found.
Keywords: stationary distribution, controlling queueing system, cyclic algorithm with prolongations, conflicting flows, multidimensional denumerable discrete-time Markov chain.
Received: 02.11.2017
Revised: 02.03.2018
Bibliographic databases:
Document Type: Article
UDC: 519.21
MSC: 60J10
Language: Russian
Citation: V. Kocheganov, A. V. Zorine, “Sufficient condition for primary queues stationary distribution existence in a tandem of queuing systems”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2018, no. 2, 49–74
Citation in format AMSBIB
\Bibitem{KocZor18}
\by V.~Kocheganov, A.~V.~Zorine
\paper Sufficient condition for primary queues stationary distribution existence in a tandem of queuing systems
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2018
\issue 2
\pages 49--74
\mathnet{http://mi.mathnet.ru/vtpmk193}
\crossref{https://doi.org/10.26456/vtpmk193}
\elib{https://elibrary.ru/item.asp?id=35171195}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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