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Invariant states and rates of convergence for a critical fluid model of a processor sharing queue. (English) Zbl 1061.60098

The paper investigates the fluid limit of a processor sharing queue under heavy traffic derived by H. C. Gromoll, A. L. Puha and 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.

MSC:

60K25 Queueing theory (aspects of probability theory)
68M20 Performance evaluation, queueing, and scheduling in the context of computer systems
90B22 Queues and service in operations research

Citations:

Zbl 1017.60092
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References:

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