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Dal'nevostochnyi Matematicheskii Zhurnal, 2020, Volume 20, Number 2, Pages 144–149
DOI: https://doi.org/10.47910/FEMJ202015 (Mi dvmg428) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Jackson network in a random environment: strong approximation

E. E. Bashtova, E. O. Lenena

Lomonosov Moscow State University
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DOI: https://doi.org/10.47910/FEMJ202015
Abstract: We consider a Jackson network with regenerative input flows in which every server is subject to a random environment influence generating breakdowns and repairs. They occur in accordance with two independent sequences of i.i.d. random variables. We establish a theorem on the strong approximation of the vector of queue lengths by a reflected Brownian motion in positive orthant.
Key words: Jackson network, Strong approximation, Unreliable systems.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00487
The first author was supported by RFBR grant 20-01-00487.
Received: 22.10.2020
Document Type: Article
UDC: 519.214.6
MSC: Primary 60F15; Secondary 60F17, 60K25
Language: English
Citation: E. E. Bashtova, E. O. Lenena, “Jackson network in a random environment: strong approximation”, Dal'nevost. Mat. Zh., 20:2 (2020), 144–149
Citation in format AMSBIB
\Bibitem{BasLen20}
\by E.~E.~Bashtova, E.~O.~Lenena
\paper Jackson network in a random environment: strong approximation
\jour Dal'nevost. Mat. Zh.
\yr 2020
\vol 20
\issue 2
\pages 144--149
\mathnet{http://mi.mathnet.ru/dvmg428}
\crossref{https://doi.org/10.47910/FEMJ202015}
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    • This publication is cited in the following 1 articles:
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