A. V. Pechinkin, V. V. Chaplygin, “Stationary characteristics of the $SM/MSP/n/r$ queuing system”, Avtomat. i Telemekh., 2004, no. 9, 85–100; Autom. Remote Control, 65:9 (2004), 1429

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Avtomatika i Telemekhanika, 2004, Issue 9, Pages 85–100 (Mi at1632)

This article is cited in 17 scientific papers (total in 17 papers)

Queuing Systems

Stationary characteristics of the

$SM/MSP/n/r$ queuing system

A. V. Pechinkin^a, V. V. Chaplygin^b

^a Institute for Problems of Informatics RAS
^b N. E. Bauman Moscow State Technical University

Full-text PDF (223 kB) Citations (17)

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Abstract: Consideration was given to the multiserver queuing system with semi-Markov input flow, Markov servicing, and (in)finite-capacity buffer. The stationary distributions of its main servicing characteristics were established using the method of embedded Markov chain.

Presented by the member of Editorial Board: V. M. Vishnevsky

Received: 07.10.2003

English version:
Automation and Remote Control, 2004, Volume 65, Issue 9, Pages 1429–1443
DOI: https://doi.org/10.1023/B:AURC.0000041421.62689.a8

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. V. Pechinkin, V. V. Chaplygin, “Stationary characteristics of the

$SM/MSP/n/r$ queuing system”, Avtomat. i Telemekh., 2004, no. 9, 85–100; Autom. Remote Control, 65:9 (2004), 1429–1443

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/at1632

https://www.mathnet.ru/eng/at/y2004/i9/p85

This publication is cited in the following 17 articles:

R. V. Razumchik, A. S. Rumyantsev, R. M. Garimella, “Veroyatnostnaya model dlya otsenki kharakteristik proizvoditelnosti markovskoi modeli superkompyutera”, Inform. i ee primen., 17:2 (2023), 62–70
A. I. Peschansky, “Stationary characteristics of an unreliable single-server queueing system with losses and preventive maintenance”, Autom. Remote Control, 81:7 (2020), 1243–1257
I. S. Zaryadov, L. A. Meikhanadzhyan, T. A. Milovanova, “Statsionarnye kharakteristiki obsluzhivaniya v sisteme $\mathrm{GI}/\mathrm{MSP}/n/\infty$ s obobschennym obnovleniem”, Sistemy i sredstva inform., 29:4 (2019), 50–64
A. I. Peschansky, A. I. Kovalenko, “A semi-Markov model for an unreliable single-line loss queueing system with different restoration types”, Autom. Remote Control, 77:12 (2016), 2193–2204
A. V. Pechinkin, “Dvukhprioritetnaya sistema s rezervirovaniem kanalov i markovskim vkhodyaschim potokom”, Inform. i ee primen., 5:1 (2011), 2–11
Chaplygin V.V., “A Multiserver Queueing System with a Finite Buffer, Blocking of a Semi-Markovian Input Flow of Customers, and Removal of All Customers From the System”, J. Commun. Technol. Electron., 56:6 (2011), 722–729
I. S. Zaryadov, “The $GI/M/n/\infty$ queuing system with generalized renovation”, Autom. Remote Control, 71:4 (2010), 663–671
Chaplygin V.V., “A Multiserver Queueing System with a Interruptable Semi-Markovian Input Flow of Customers and Customer Removal From an Infinite Buffer”, J. Commun. Technol. Electron., 55:12 (2010), 1491–1498
A. V. Pechinkin, I. A. Sokolov, V. V. Chaplygin, “Mnogolineinaya sistema massovogo obsluzhivaniya s gruppovym otkazom priborov”, Inform. i ee primen., 3:3 (2009), 4–15
Samanta S.K. Gupta U.C. Chaudhry M.L., “Analysis of Stationary Discrete-Time Gi/D-Msp/1 Queue with Finite and Infinite Buffers”, 4OR Q. J. Oper. Res., 7:4 (2009), 337–361
V. V. Chaplygin, “Mnogolineinaya sistema massovogo obsluzhivaniya s konechnym nakopitelem, blokirovkoi polumarkovskogo potoka zayavok i vybivaniem zayavok iz nakopitelya”, Inform. i ee primen., 2:3 (2008), 34–40
P. P. Bocharov, C. D'Apice, R. Manzo, A. V. Pechinkin, “Analysis of the multi-server Markov queuing system with unlimited buffer and negative customers”, Autom. Remote Control, 68:1 (2007), 85–94
A. V. Pechinkin, I. A. Sokolov, V. V. Chaplygin, “Mnogolineinaya sistema massovogo obsluzhivaniya s konechnym nakopitelem i nenadezhnymi priborami”, Inform. i ee primen., 1:1 (2007), 27–39
A. V. Pechinkin, I. A. Sokolov, V. V. Chaplygin, “Statsionarnye kharakteristiki mnogolineinoi sistemy massovogo obsluzhivaniya s odnovremennymi otkazami priborov”, Inform. i ee primen., 1:2 (2007), 39–49
A. V. Pechinkin, “Markov queueing system with finite buffer and negative customers affecting the queue end”, Autom Remote Control, 68:6 (2007), 1104
A. V. Pechinkin, I. A. Sokolov, V. V. Chaplygin, “Mnogolineinye sistemy massovogo obsluzhivaniya s nezavisimymi otkazami i vosstanovleniyami priborov”, Sistemy i sredstva inform., 2006, spetsvypusk, 101–125
Lee M.H. Dudin A.N. Klimenok V.I., “The Sm/M/N Queueing System with Broadcasting Service”, Math. Probl. Eng., 2006, 98171

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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