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Teoriya Veroyatnostei i ee Primeneniya, 2016, Volume 61, Issue 2, Pages 378–384
DOI: https://doi.org/10.4213/tvp5061 (Mi tvp5061) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

Large deviation probabilities for the system $M/G/1/\infty$ with unreliable server

S. Zh. Aibatov

Lomonosov Moscow State University
Full-text PDF (153 kB) Citations (3)
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DOI: https://doi.org/10.4213/tvp5061
Abstract: We consider a one-channel queue with an unreliable server. Assuming that recovery time and service time have heavy tails, we find the asymptotic behavior of the large deviations probabilities for a process of virtual waiting time in a stationary regime.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00653_а
Received: 28.07.2015
English version:
Theory of Probability and its Applications, 2017, Volume 61, Issue 2, Pages 321–326
DOI: https://doi.org/10.1137/S0040585X97T988174
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. Zh. Aibatov, “Large deviation probabilities for the system $M/G/1/\infty$ with unreliable server”, Teor. Veroyatnost. i Primenen., 61:2 (2016), 378–384; Theory Probab. Appl., 61:2 (2017), 321–326
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tvp/v61/i2/p378
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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