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Problemy Peredachi Informatsii, 1974, Volume 10, Issue 1, Pages 102–110
(Mi ppi1023)
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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
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
Linking options:
https://www.mathnet.ru/eng/ppi1023 https://www.mathnet.ru/eng/ppi/v10/i1/p102
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