A batch arrival queue with an additional service channel under \(N\)-policy (Q1886561)
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scientific article; zbMATH DE number 2116554
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A batch arrival queue with an additional service channel under \(N\)-policy |
scientific article; zbMATH DE number 2116554 |
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A batch arrival queue with an additional service channel under \(N\)-policy (English)
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18 November 2004
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An M/G/1 queueing system with an optional service channel is studied. A unit may depart from the system either after first essential service with probability \((1-\theta)\) or may then immediately go for a second phase of service with probability \(\theta\). The steady state queue size distribution at a random epoch is found, as well as the probability generating function of the departure point queue size distribution. The stochastic decomposition property for these distributions is proved.
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optional phase of service
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steady state
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queue size
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steady state queue size distribution at a random epoch
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probability generating function
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