On the GI/M/\(\infty\) queue with batch arrivals of constant size (Q1110202)
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scientific article; zbMATH DE number 4072089
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the GI/M/\(\infty\) queue with batch arrivals of constant size |
scientific article; zbMATH DE number 4072089 |
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On the GI/M/\(\infty\) queue with batch arrivals of constant size (English)
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1987
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The authors investigate the GI/M/\(\infty\) queue with batch arrivals of constant size. Two main results are presented: (i) the binomial moments of the number of customers found by an arriving batch can be computed recursively; (ii) the stationary probabilities that an arriving batch finds i customers in the system can be computed by means of the binomial moments (Jordan's formula). Moreover, some stationary probabilities are given.
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Jordan formula
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queue with batch arrivals
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stationary probabilities
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