Queues with superposition arrival processes in heavy traffic (Q1070672)
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scientific article; zbMATH DE number 3938205
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Queues with superposition arrival processes in heavy traffic |
scientific article; zbMATH DE number 3938205 |
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Queues with superposition arrival processes in heavy traffic (English)
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1985
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A multiserver queue with general service time distributions, where the input process is a superposition of n independent, identically distributed stationary renewal processes each with rate \(n^{-1}\) is investigated. Some problems with approximations when \(n\to \infty\) and the traffic intensity increases to 1 are sketched, and suitable limit theorems are proved which give partial answers to questions about heavy traffic approximations.
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multiserver queue
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stationary renewal processes
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limit theorems
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heavy traffic approximations
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