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Problemy Peredachi Informatsii, 2006, Volume 42, Issue 4, Pages 91–103
(Mi ppi64)
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This article is cited in 3 scientific papers (total in 3 papers)
Communication Network Theory
Self-averaging Property of Queueing
Systems
A. A. Vladimirova, A. N. Rybkoa, S. B. Shlosmanab a Institute for Information Transmission Problems, Russian Academy of Sciences
b Center of Theoretical Physics, Luminy
Abstract:
We establish an averaging property for a one-server queuing process, $M(t)/G/1$.
It is a new relation between the output flow rate and the input flow rate, crucial in the study
of the Poisson hypothesis. Its implications include the statement that the output flow always
possesses more regularity than the input flow.
Received: 26.04.2006 Revised: 09.08.2006
Citation:
A. A. Vladimirov, A. N. Rybko, S. B. Shlosman, “Self-averaging Property of Queueing
Systems”, Probl. Peredachi Inf., 42:4 (2006), 91–103; Problems Inform. Transmission, 42:4 (2006), 344–355
Linking options:
https://www.mathnet.ru/eng/ppi64 https://www.mathnet.ru/eng/ppi/v42/i4/p91
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Abstract page: | 448 | Full-text PDF : | 140 | References: | 69 | First page: | 11 |
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