Superposition of renewal processes and an application to multi-server queues (Q850204)
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scientific article; zbMATH DE number 5072679
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Superposition of renewal processes and an application to multi-server queues |
scientific article; zbMATH DE number 5072679 |
Statements
Superposition of renewal processes and an application to multi-server queues (English)
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15 November 2006
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The vector-valued forward recurrence time process of a superposition of independent renewal processes at arrival epochs of the superposed (marked point) process is studied. Stationary distribution and a SLLN are deduced for the process. As an application, the departure process of a multi-server queue without idleness is considered. As a specific case, the identical servers with Erlang service time distribution are considered in detail.
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renewal processes
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superposition
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forward recurrence times
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joint distribution
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multi-server queue
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