Fluid limits for the queue length of jobs in multiserver open queueing networks (Q2874627)
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scientific article; zbMATH DE number 6327869
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fluid limits for the queue length of jobs in multiserver open queueing networks |
scientific article; zbMATH DE number 6327869 |
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Fluid limits for the queue length of jobs in multiserver open queueing networks (English)
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8 August 2014
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mathematical models of information systems
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performance evaluation
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queueing theory
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multiserver open queueing network
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heavy traffic
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limit theorem
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queue-length of jobs
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The paper under review establishes the strong law of large numbers (fluid limit theorems) for open multiserver queueing networks. Specifically, it is proved that the long-term average rate of growth of the queue-length process of a multiserver open queueing network under heavy traffic conditions, specified exactly in the paper, strongly converges to a particular vector of rates. Some applications of the main results are provided.
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