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Dal'nevostochnyi Matematicheskii Zhurnal, 2002, Volume 3, Number 1, Pages 52–57 (Mi dvmg115)  

Asymptotic invariants in one channel queueing system $G|G|1|\infty$

G. Sh. Tsitsiashvilia, N. V. Markovab

a Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
b The Birobidzhan teacher training college
References:
Abstract: This paper is devoted to construction and investigation of invariant characteristics of stationary distribution tails of waiting time in queueing systems $M|M|1|\infty$, $G|G|1|\infty$ defined by subexponential distributions. Tails of these distributions are defined with accuracy of slowly varying multipliers. Stationary characteristics invariant to these multipliers are searched. Idea of invariant characteristics construction is based on classification of subexponential distributions suggested by Goldie and Kluppelberg and Karamata theorem and Embrechts-Veraverbeke formula.
Received: 30.12.2001
Document Type: Article
UDC: 517.977
MSC: 60K25
Language: Russian
Citation: G. Sh. Tsitsiashvili, N. V. Markova, “Asymptotic invariants in one channel queueing system $G|G|1|\infty$”, Dal'nevost. Mat. Zh., 3:1 (2002), 52–57
Citation in format AMSBIB
\Bibitem{TsiMar02}
\by G.~Sh.~Tsitsiashvili, N.~V.~Markova
\paper Asymptotic invariants in one channel queueing system $G|G|1|\infty$
\jour Dal'nevost. Mat. Zh.
\yr 2002
\vol 3
\issue 1
\pages 52--57
\mathnet{http://mi.mathnet.ru/dvmg115}
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