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Dal'nevostochnyi Matematicheskii Zhurnal, 2016, Volume 16, Number 2, Pages 223–228
(Mi dvmg335)
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This article is cited in 2 scientific papers (total in 2 papers)
Stationary flows in acyclic queuing networks
G. Sh. Tsitsiashviliab, M. A. Osipovaab a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
Abstract:
In this paper an open acyclic queuing network with exponentially distributed service times is considered. Using a transformation of this network to a network of multiphase type it is proved that its flows are Poisson and some of these flows are independent. Applications to systems with retrial queues are described.
Key words:
an acyclic queuing network, a queuing network of multiphase type, a sham node, Poisson flows, a stationary regime.
Received: 10.10.2016
Citation:
G. Sh. Tsitsiashvili, M. A. Osipova, “Stationary flows in acyclic queuing networks”, Dal'nevost. Mat. Zh., 16:2 (2016), 223–228
Linking options:
https://www.mathnet.ru/eng/dvmg335 https://www.mathnet.ru/eng/dvmg/v16/i2/p223
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Abstract page: | 277 | Full-text PDF : | 72 | References: | 46 |
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