Invariant states and rates of convergence for a critical fluid model of a processor sharing queue. (Q1879881)
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| English | Invariant states and rates of convergence for a critical fluid model of a processor sharing queue. |
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Invariant states and rates of convergence for a critical fluid model of a processor sharing queue. (English)
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15 September 2004
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The paper investigates the fluid limit of a processor sharing queue under heavy traffic derived by \textit{H. C. Gromoll, A. L. Puha} and \textit{R. J. Williams} [Ann. Appl. Probab. 12, No. 3, 797--859 (2002; Zbl 1017.60092)]. Sufficient conditions are given to ensure that the fluid models converge to an invariant state and that rates of convergence can be determined.
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processor sharing
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fluid limits
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heavy traffic
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coupling
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invariant measures
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