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Dal'nevostochnyi Matematicheskii Zhurnal, 2002, Volume 3, Number 1, Pages 52–57
(Mi dvmg115)
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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
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
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
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https://www.mathnet.ru/eng/dvmg115 https://www.mathnet.ru/eng/dvmg/v3/i1/p52
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Abstract page: | 215 | Full-text PDF : | 69 | References: | 41 | First page: | 1 |
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