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Avtomatika i Telemekhanika, 2009, Issue 12, Pages 134–146 (Mi at580)  
This article is cited in 1 scientific paper (total in 1 paper)

Non-classical Models of the Queuing Theory

On busy period and sojourn time distributions in the M/G/1-EPS queue with catastrophes

S. F. Yashkova, A. S. Yashkovab

a Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia
b Municipal Institute, Zhukovskii, Moscow oblast, Russia
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Abstract: We derive the Laplace–Stiltjes transforms of busy period and sojourn time distributions in the M/G/1 queue with egalitarian processor sharing (EPS) and the possibility of (external) catastrophes. Each arrival of the catastrophes immediately removes all the positive jobs (and hence unfinished work) in this non work-conserving queueing system. One of the main results is obtained by means of the so-called method of decomposition into delay elements introduced by the first author.
Presented by the member of Editorial Board: A. M. Krasnosel'skii

Received: 12.05.2009
English version:
Automation and Remote Control, 2009, Volume 70, Issue 12, Pages 2061–2072
DOI: https://doi.org/10.1134/S0005117909120133
Bibliographic databases:
Document Type: Article
PACS: 02.50.Fz
Language: Russian
Citation: S. F. Yashkov, A. S. Yashkova, “On busy period and sojourn time distributions in the M/G/1-EPS queue with catastrophes”, Avtomat. i Telemekh., 2009, no. 12, 134–146; Autom. Remote Control, 70:12 (2009), 2061–2072
Citation in format AMSBIB
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\jour Avtomat. i Telemekh.
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\pages 134--146
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\jour Autom. Remote Control
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\pages 2061--2072
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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