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Avtomatika i Telemekhanika, 2009, Issue 12, Pages 147–160 (Mi at581)  
This article is cited in 6 scientific papers (total in 6 papers)

Non-classical Models of the Queuing Theory

Unreliable multi-server system with controllable broadcasting service

A. N. Dudin, V. Sung

Belarussian State University, Minsk, Belarus
Full-text PDF (199 kB) Citations (6)
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Abstract: Consideration was given to the multi-server queuing system with an infinite buffer. The customer arrivals obey a Markov arrival flow, the time of customer service having a phasetype distribution. service may be done with errors. If at the instant of customer arrival the number of busy servers is less than some threshold, then the customer is copied to all free servers which service it. If at that instant the number of busy servers is not less than some threshold, then the customer is serviced by a single server. The stationary distribution of the number of customers and their sojourn time were determined. The impact of the threshold value on the probability of successful service of the customer was studied numerically.
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 2073–2084
DOI: https://doi.org/10.1134/S0005117909120145
Bibliographic databases:
Document Type: Article
PACS: 02.50.Fz
Language: Russian
Citation: A. N. Dudin, V. Sung, “Unreliable multi-server system with controllable broadcasting service”, Avtomat. i Telemekh., 2009, no. 12, 147–160; Autom. Remote Control, 70:12 (2009), 2073–2084
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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