The fluid limit of a heavily loaded processor sharing queue (Q1872377)
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scientific article; zbMATH DE number 1906167
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The fluid limit of a heavily loaded processor sharing queue |
scientific article; zbMATH DE number 1906167 |
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The fluid limit of a heavily loaded processor sharing queue (English)
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6 May 2003
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A single server queue with renewal arrivals and i.i.d. service times is considered in which the server operates under a processor sharing service discipline. The authors study a critical fluid model for a heavily loaded processor sharing queue. The fluid model state descriptor is a measure-valued function whose dynamics are governed by a nonlinear integral equation. The critical fluid model can be served as a first order approximation of a heavily loaded processor.
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processor sharing queue
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heavy traffic
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fluid model
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renewal equation
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measure valued process
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