Transient solution for the number of busy servers for the discrete-time queue \(\text{Geom}^X/\text{G}/\infty\) (Q2736953)
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scientific article; zbMATH DE number 1645040
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transient solution for the number of busy servers for the discrete-time queue \(\text{Geom}^X/\text{G}/\infty\) |
scientific article; zbMATH DE number 1645040 |
Statements
11 September 2001
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Geom\(^X/\text{G}/\infty\) queue
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\(\text{M}^X/\text{G}/\infty\) queue
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distribution
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Markov process
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steady-state
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Transient solution for the number of busy servers for the discrete-time queue \(\text{Geom}^X/\text{G}/\infty\) (English)
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The distribution of the number of busy servers at time \(k\) for the infinite discrete Geom\(^X/\text{G}/\infty\)-queueing system with a random batch arrival and with independently geometrically distributed interarrival times is derived. In addition, a probability generating function, steady-state systems and some numerical results are given, too.
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