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Avtomatika i Telemekhanika, 2010, Issue 1, Pages 99–117 (Mi at908)  
This article is cited in 2 scientific papers (total in 2 papers)

Queuing Systems

Analysis of the busy period in threshold control system

D. V. Efrosinin

Peoples Friendship University, Moscow, Russia
Full-text PDF (409 kB) Citations (2)
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Abstract: Consideration was given to the controllable Markov queuing system with nonhomogeneous servers and threshold policy of server activation depending on the queue length. By the busy period is meant the time interval between the instant of customer arrival to the empty system and the instant of service completion when the system again becomes free. The system busy period and the number of serviced customers were analyzed. Recurrent relations for the distribution density in terms of the Laplace transform and generating function, as well as formulas for calculation of the corresponding arbitrary-order moments, were obtained.
Presented by the member of Editorial Board: S. F. Yashkov

Received: 06.04.2009
English version:
Automation and Remote Control, 2010, Volume 71, Issue 1, Pages 87–104
DOI: https://doi.org/10.1134/S0005117910010078
Bibliographic databases:
Document Type: Article
PACS: 02.50.Ey
Language: Russian
Citation: D. V. Efrosinin, “Analysis of the busy period in threshold control system”, Avtomat. i Telemekh., 2010, no. 1, 99–117; Autom. Remote Control, 71:1 (2010), 87–104
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/at/y2010/i1/p99
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:38
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