Geometric equilibrium distributions for queues with interactive batch departures (Q1315358)
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scientific article; zbMATH DE number 513147
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric equilibrium distributions for queues with interactive batch departures |
scientific article; zbMATH DE number 513147 |
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Geometric equilibrium distributions for queues with interactive batch departures (English)
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7 April 1994
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The authors start with a result of \textit{E. Gelenbe} [J. Appl. Probab. 28, No. 3, 656-663 (1991; Zbl 0741.60091)] who generalized Jackson networks for `positive' and `negative' customers and gave conditions under which again geometric product form equilibrium distributions exist. In this paper these results are again generalized to batches of `negative' customers. Appropriate conditions are given and their relations to traffic equations for the throughput of the individual queues are proved.
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queueing networks
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batches of negative customers
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generalized Jackson networks
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geometric product form equilibrium distributions
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traffic equations
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