\(GI/G/1/\infty\) batch arrival queueing system with a single exponential vacation (Q1014292)
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scientific article; zbMATH DE number 5547515
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(GI/G/1/\infty\) batch arrival queueing system with a single exponential vacation |
scientific article; zbMATH DE number 5547515 |
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\(GI/G/1/\infty\) batch arrival queueing system with a single exponential vacation (English)
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27 April 2009
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The paper deals with the analysis of the \(GI/GI/1\) system with batch arrivals and one exponentially distributed vacation period at the end of each busy period. Using a canonical factorization technique transient basic characteristics are investigated: the first busy period, the first vacation period and the number of customers served during the first busy period. Further, results for the Laplac-Stieltjes transform of the joint distribution of the mentioned three variables are given depending on the initial conditions of the system.
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batch arrival queueing system
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vacation period
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busy period
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idle time
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canonical factorization
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Laplace Stieltjes transform
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