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Dal'nevostochnyi Matematicheskii Zhurnal, 2018, Volume 18, Number 2, Pages 267–270
(Mi dvmg388)
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This article is cited in 1 scientific paper (total in 1 paper)
Invariant properties of queuing systems with multiple flows
G. Sh. Tsitsiashvili Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
Abstract:
It is proved that in a single-server queuing system with exponentially distributed service time and intervals between the arrivals of customers, the stationary output flows coincide in distribution with independent Poisson input flows, provided that the server works if there are customers in the system.
Key words:
queuing system with multiple flows, ergodicity, service discipline.
Received: 24.07.2018
Citation:
G. Sh. Tsitsiashvili, “Invariant properties of queuing systems with multiple flows”, Dal'nevost. Mat. Zh., 18:2 (2018), 267–270
Linking options:
https://www.mathnet.ru/eng/dvmg388 https://www.mathnet.ru/eng/dvmg/v18/i2/p267
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