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Teoriya Veroyatnostei i ee Primeneniya, 2013, Volume 58, Issue 2, Pages 210–234
DOI: https://doi.org/10.4213/tvp4504 (Mi tvp4504) 		 
This article is cited in 13 scientific papers (total in 14 papers)

Multichannel queueing systems with regenerative input flow

L. G. Afanasyevaa, A. V. Tkachenkob

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b National Research University "Higher School of Economics"
Full-text PDF (251 kB) Citations (14)
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DOI: https://doi.org/10.4213/tvp4504
Abstract: We consider the multichannel queueing system with nonidentical servers and regenerative input flow. The necessary and sufficient condition for ergodicity is established, and functional limit theorems for high and ultra-high load are proved. As a corollary, the ergodicity condition for queues with unreliable servers is obtained. Suggested approaches are used to prove the ergodic theorem for systems with limitations. We also consider the hierarchical networks of queueing systems.
Keywords: multichannel queueing system; regenerative flow; ergodicity; stochastic boundedness.
Received: 15.11.2012
English version:
Theory of Probability and its Applications, 2014, Volume 58, Issue 2, Pages 174–192
DOI: https://doi.org/10.1137/S0040585X97986485
Bibliographic databases:
Document Type: Article
MSC: 60
Language: Russian
Citation: L. G. Afanasyeva, A. V. Tkachenko, “Multichannel queueing systems with regenerative input flow”, Teor. Veroyatnost. i Primenen., 58:2 (2013), 210–234; Theory Probab. Appl., 58:2 (2014), 174–192
Citation in format AMSBIB
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    • This publication is cited in the following 14 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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