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Problemy Peredachi Informatsii, 1974, Volume 10, Issue 1, Pages 102–110 (Mi ppi1023)  

Queueing theory

Limit Distributions of Additive-Type Functionals in a Particular Queuing Problem

N. M. Akulinichev, V. A. Ivannikov
Abstract: The limit distribution functions as $t\to\infty$ for the total number $w_t$ of lost calls in an interval $(0,t)$ by the $GI|M|n|n+m$ queuing system are investigated for the cases $m=0$ and $m\ne0$. The asymptotic normality of the additive functional wt as $t\to\infty$ is proved, and the parameters of the corresponding limit distributions are calculated. Examples are given.
Received: 28.12.1972
Bibliographic databases:
Document Type: Article
UDC: 519.211
Language: Russian
Citation: N. M. Akulinichev, V. A. Ivannikov, “Limit Distributions of Additive-Type Functionals in a Particular Queuing Problem”, Probl. Peredachi Inf., 10:1 (1974), 102–110; Problems Inform. Transmission, 10:1 (1984), 82–88
Citation in format AMSBIB
\Bibitem{AkuIva74}
\by N.~M.~Akulinichev, V.~A.~Ivannikov
\paper Limit Distributions of Additive-Type Functionals in a Particular Queuing Problem
\jour Probl. Peredachi Inf.
\yr 1974
\vol 10
\issue 1
\pages 102--110
\mathnet{http://mi.mathnet.ru/ppi1023}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=345236}
\zmath{https://zbmath.org/?q=an:0308.60061}
\transl
\jour Problems Inform. Transmission
\yr 1984
\vol 10
\issue 1
\pages 82--88
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