Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Mitrophanov Y. I., Dolgov V. I., Rogachko E. S., Stankevich E. P. Queueing networks with batch movements of customers, blocking and clusters. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, vol. 13, iss. 2, pp. 20-31. DOI: 10.18500/1816-9791-2013-13-2-2-20-31, EDN: RHABIB

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
25.05.2013
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Russian
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UDC: 
519.872
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RHABIB

Queueing networks with batch movements of customers, blocking and clusters

Autors: 
Mitrophanov Yurii Ivanovich, Saratov State University
Dolgov Vitalii Igorevich, Saratov State University
Rogachko Ekaterina Sergeevna, Saratov State University
Stankevich Elena Petrovna, Saratov State University
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. 

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Received: 
16.11.2012
Accepted: 
19.04.2013
Published: 
31.05.2013
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