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A stability criterion via fluid limits and its application to a polling system

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Abstract

We introduce a generalized criterion for the stability of Markovian queueing systems in terms of stochastic fluid limits. We consider an example in which this criterion may be applied: a polling system with two stations and two heterogeneous servers.

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Foss, S., Kovalevskii, A. A stability criterion via fluid limits and its application to a polling system. Queueing Systems 32, 131–168 (1999). https://doi.org/10.1023/A:1019187004209

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