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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 2(2), Pages 20–31
DOI: https://doi.org/10.18500/1816-9791-2013-13-2-2-20-31 (Mi isu409) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Computer science

Queueing networks with batch movements of customers, blocking and clusters

Yu. I. Mitrophanov, V. I. Dolgov, E. S. Rogachko, E. P. Stankevich

Saratov State University, Russia, 410012, Saratov, Astrahanskaya st., 83
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DOI: https://doi.org/10.18500/1816-9791-2013-13-2-2-20-31
Abstract: Two types queueing networks with batch movements of customers – networks with blocking and networks with clusters are investigated. Product form stationary distribution for networks with blocking of transitions in states, in which the number of customers in queueing systems exceeds given values, is derived. For queueing networks with disjoint clusters of systems the problem of analyzing is solved and the product form stationary distribution is found. Examples of analysis of the network with blocking and the network with clusters are presented.
Key words: queueing networks, batch movements of customers, blocking, clusters, analysis of queueing networks.
Bibliographic databases:
Document Type: Article
UDC: 519.872
Language: Russian
Citation: Yu. I. Mitrophanov, V. I. Dolgov, E. S. Rogachko, E. P. Stankevich, “Queueing networks with batch movements of customers, blocking and clusters”, Izv. Saratov Univ. Math. Mech. Inform., 13:2(2) (2013), 20–31
Citation in format AMSBIB
\Bibitem{MitDolRog13}
\by Yu.~I.~Mitrophanov, V.~I.~Dolgov, E.~S.~Rogachko, E.~P.~Stankevich
\paper Queueing networks with batch movements of customers, blocking and clusters
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 2(2)
\pages 20--31
\mathnet{http://mi.mathnet.ru/isu409}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-2-2-20-31}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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