On transient queue-size distribution in the batch arrival system with the \(N\)-policy and setup times (Q2915740)
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scientific article; zbMATH DE number 6083591
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On transient queue-size distribution in the batch arrival system with the \(N\)-policy and setup times |
scientific article; zbMATH DE number 6083591 |
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18 September 2012
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batch arrival queueing system
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\(N\)-policy
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queue-size distribution
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setup time
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transient state
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On transient queue-size distribution in the batch arrival system with the \(N\)-policy and setup times (English)
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The paper under review studies a single-server queueing system with batch Poisson arrivals, generally distributed service times, \(N\)-policy and setup times in exhaustive regime. That is, a busy period starts when there are at least \(N\) customers in the system, and the first service in a busy period is preceded by a random setup time. The paper derives the Laplace-Stieltjes transform of the transient queue-size distribution. A numerical study of different cases is provided.
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