Analysis of an \(M\)/\(M\)/\(N\) queue with Bernoulli service schedule (Q840570)
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scientific article; zbMATH DE number 5603387
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analysis of an \(M\)/\(M\)/\(N\) queue with Bernoulli service schedule |
scientific article; zbMATH DE number 5603387 |
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Analysis of an \(M\)/\(M\)/\(N\) queue with Bernoulli service schedule (English)
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13 September 2009
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Summary: In this paper, a Markovian multiple server queue in which each server takes vacation according to Bernoulli scheduling service is studied. For this system, the stationary queue length distribution and several performance characteristics are obtained using the matrix geometric solution technique. The system busy period and waiting time distribution are discussed. The \(1\)-limited service and exhaustive service with multiple vacations are analysed as special cases. Extensive numerical illustrations are provided.
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multiple server queues
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Bernoulli vacation
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matrix geometric
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system size
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busy period
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mean waiting times
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scheduling
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stationary queue length distribution
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