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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
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.
Received: 22.10.2020
Citation:
E. E. Bashtova, E. O. Lenena, “Jackson network in a random environment: strong approximation”, Dal'nevost. Mat. Zh., 20:2 (2020), 144–149
Linking options:
https://www.mathnet.ru/eng/dvmg428 https://www.mathnet.ru/eng/dvmg/v20/i2/p144
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Abstract page: | 119 | Full-text PDF : | 38 | References: | 24 |
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