Some exact expressions for the bulk-arrival queue \(M^ x/M/1\) (Q1115034)
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scientific article; zbMATH DE number 4086713
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some exact expressions for the bulk-arrival queue \(M^ x/M/1\) |
scientific article; zbMATH DE number 4086713 |
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Some exact expressions for the bulk-arrival queue \(M^ x/M/1\) (English)
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1989
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For a M/M/1 queueing system with group arrivals of random size the transition probabilities of the queue size process and the distribution of the maximal queue size during a time interval [0,t) are calculated. Simple formulae for the corresponding Laplace transforms are given.
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queueing system with group arrivals
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transition probabilities
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maximal queue size
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Laplace transforms
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0.9133713
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0.89462006
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0.89253926
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0.8887749
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