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Teoriya Veroyatnostei i ee Primeneniya, 2019, Volume 64, Issue 3, Pages 566–572
DOI: https://doi.org/10.4213/tvp5310 (Mi tvp5310) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

Multiserver queueing system with constant service time and simultaneous service of a customer by random number of servers

S. A. Grishunina

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.4213/tvp5310
Abstract: This paper is focused on stability conditions of a multiserver queueing system with regenerative input flow where a random number of servers is simultaneously required for each customer, and each server completion time is constant. It turns out that the stability condition depends on the rate of the input flow rather than on its structure.
Keywords: stability condition, queueing systems, regenerative input flow, synchronization.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00468
This work was supported by the Russian Foundation for Basic Research (grant 17-01-00468).
Received: 04.04.2019
Accepted: 22.04.2019
English version:
Theory of Probability and its Applications, 2019, Volume 64, Issue 3, Pages 456–460
DOI: https://doi.org/10.1137/S0040585X97T98960X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. A. Grishunina, “Multiserver queueing system with constant service time and simultaneous service of a customer by random number of servers”, Teor. Veroyatnost. i Primenen., 64:3 (2019), 566–572; Theory Probab. Appl., 64:3 (2019), 456–460
Citation in format AMSBIB
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  • https://doi.org/10.4213/tvp5310
  • https://www.mathnet.ru/eng/tvp/v64/i3/p566
    • This publication is cited in the following 1 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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