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The classification of matrix GI/M/1-type Markov chains with a tree structure and its applications to queueing
Published online by Cambridge University Press: 14 July 2016
Abstract
In this paper, we study the classification of matrix GI/M/1-type Markov chains with a tree structure. We show that the Perron–Frobenius eigenvalue of a Jacobian matrix provides information for classifying these Markov chains. A fixed-point approach is utilized. A queueing application is presented to show the usefulness of the classification method developed in this paper.
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MSC classification
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- Research Papers
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- Copyright © Applied Probability Trust 2003
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