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Avtomatika i Telemekhanika, 2009, Issue 12, Pages 81–91 (Mi at576)  
This article is cited in 26 scientific papers (total in 26 papers)

Classical Models of the Queuing Theory and Generalizations

On the slow server problem

V. V. Rykov, D. V. Efrosinin

Peoples Friendship University, Moscow, Russia
Full-text PDF (160 kB) Citations (26)
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Abstract: In this paper the problem of optimal control over a Markov queueing system with heterogeneous servers and a joint queue is considered, which is also known in the literature as “the slow server problem”. The classical model is generalized here to the case with delay and call serving penalties. It is proved here that the optimal control policy for servers' activating is of monotonic and threshold nature.
Presented by the member of Editorial Board: S. F. Yashkov

Received: 12.05.2009
English version:
Automation and Remote Control, 2009, Volume 70, Issue 12, Pages 2013–2023
DOI: https://doi.org/10.1134/S0005117909120091
Bibliographic databases:
Document Type: Article
PACS: 02.50.Fz
Language: Russian
Citation: V. V. Rykov, D. V. Efrosinin, “On the slow server problem”, Avtomat. i Telemekh., 2009, no. 12, 81–91; Autom. Remote Control, 70:12 (2009), 2013–2023
Citation in format AMSBIB
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\pages 2013--2023
\crossref{https://doi.org/10.1134/S0005117909120091}
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    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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