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Problemy Peredachi Informatsii, 1992, Volume 28, Issue 4, Pages 86–95 (Mi ppi1370)  
Communication-Network Theory and Large System Science

Proof of the Poisson Hypothesis for Circuit-Switching Loss Networks

M. Yu. Kradinov
Full-text PDF (676 kB)
Abstract: We prove the identity for the integral representation of the partial function of the main queueing process in circuit-switching star networks with losses. The integral representation is used to derive sufficient conditions for asymptotic applicability of the Poisson hypothesis for these networks and strict bounds for violations from this hypothesis in the finite case.
Received: 30.08.1991
Bibliographic databases:
Document Type: Article
UDC: 621.394.74:519.2
Language: Russian
Citation: M. Yu. Kradinov, “Proof of the Poisson Hypothesis for Circuit-Switching Loss Networks”, Probl. Peredachi Inf., 28:4 (1992), 86–95; Problems Inform. Transmission, 28:4 (1992), 375–383
Citation in format AMSBIB
\Bibitem{Kra92}
\by M.~Yu.~Kradinov
\paper Proof of the Poisson Hypothesis for Circuit-Switching Loss Networks
\jour Probl. Peredachi Inf.
\yr 1992
\vol 28
\issue 4
\pages 86--95
\mathnet{http://mi.mathnet.ru/ppi1370}
\zmath{https://zbmath.org/?q=an:0796.94018}
\transl
\jour Problems Inform. Transmission
\yr 1992
\vol 28
\issue 4
\pages 375--383
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    		Проблемы передачи информации Problems of Information Transmission
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