Steady-state probabilities in a quasi-birth-and-death process with a countable number of phases

Steady-state probabilities in a quasi-birth-and-death process with a countable number of phases

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Article ID: iaor20021472
Country: United States
Volume: 17
Issue: 1
Start Page Number: 1
End Page Number: 24
Publication Date: Jan 2001
Journal: Communications in Statistics - Stochastic Models
Authors: , ,
Keywords: queues: theory
Abstract:

A sufficient condition is proved for geometric decay of the steady-state probabilities in a quasi-birth-and-death process having a countable number of phases in each level. As an example, the result is applied to a two-queue system with shorter queue discipline.

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