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- W1973403707 abstract "It is now known that the usual traffic condition (the nominal load being less than 1 at each station) is not sufficient for stability for a multiclass open queueing network. Although there has been some progress in establishing the stability conditions for a multiclass network, there is no unified approach to this problem. In this paper, we prove that a queueing network is positive Harris recurrent if the corresponding fluid limit model eventually reaches zero and stays there regardless of the initial system configuration. As an application of the result, we prove that single class networks, multiclass feedforward networks and first-buffer-first-served preemptive resume discipline in a reentrant line are positive Harris recurrent under the usual traffic condition." @default.
- W1973403707 created "2016-06-24" @default.
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- W1973403707 date "1995-02-01" @default.
- W1973403707 modified "2023-10-02" @default.
- W1973403707 title "On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models" @default.
- W1973403707 doi "https://doi.org/10.1214/aoap/1177004828" @default.
- W1973403707 hasPublicationYear "1995" @default.
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