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Matematicheskie Zametki, 2015, Volume 98, Issue 4, Pages 590–605
DOI: https://doi.org/10.4213/mzm10533 (Mi mzm10533) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Limit Theorems for an Infinite-Server Queuing System

E. Chernsvakaya

Lomonosov Moscow State University
Full-text PDF (521 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm10533
Abstract: We consider an infinite-server queuing system with a doubly stochastic Poisson input flow. Assuming that the service time does not have expectation, we prove limit theorems for the number of occupied servers. As a consequence, we obtain limit theorems for systems in which the input flow intensity is a regenerative process.
Keywords: infinite-server queuing system, doubly stochastic Poisson flow, regenerative process, limit theorem.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00653 A
This work was supported by the Russian Foundation for Basic Research under grant 13-01-00653a.
Received: 02.07.2014
English version:
Mathematical Notes, 2015, Volume 98, Issue 4, Pages 653–666
DOI: https://doi.org/10.1134/S0001434615090321
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: E. Chernsvakaya, “Limit Theorems for an Infinite-Server Queuing System”, Mat. Zametki, 98:4 (2015), 590–605; Math. Notes, 98:4 (2015), 653–666
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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