The rate of convergence of a homogeneous Markov chain arising from two-queue networks

The rate of convergence of a homogeneous Markov chain arising from two-queue networks

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Article ID: iaor19961064
Country: United Kingdom
Volume: 31
Issue: 2
Start Page Number: 103
End Page Number: 109
Publication Date: Jan 1996
Journal: Computers & Mathematics with Applications
Authors:
Keywords: stochastic processes
Abstract:

This paper is concerned with the type of random walks in two dimensions considered by Malyshev, which describe a wide class of two-queue systems. Sufficient conditions are established for the random walks to have various rate of convergence results including ergodicity, geometric ergodicity and sub-geometric rates for a variety of rate functions.

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