Second-order tail behavior of the busy period distribution of certain GI/G/1 queues (Q1873255)
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scientific article; zbMATH DE number 1912618
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Second-order tail behavior of the busy period distribution of certain GI/G/1 queues |
scientific article; zbMATH DE number 1912618 |
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Second-order tail behavior of the busy period distribution of certain GI/G/1 queues (English)
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19 May 2003
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A distribution function \(G\) on \([0,\infty)\) is said to have a dominated variation if \[ \limsup_{t\to\infty} (1 -G(t))/(1-G(2t))<\infty. \] The paper considers a stable GI/G/1 queue in which the service time distribution has dominated variation and obtains first- and second-order tail behaviour of the busy period distribution.
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GI/G/1 queue
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busy periods
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subexponential distributions
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dominated variation
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