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Insensitive bounds for the stationary distribution of non-reversible Markov chains

Published online by Cambridge University Press:  14 July 2016

Arie Hordijk  and
AD Ridder
Arie Hordijk
Affiliation:
University of Leiden
AD Ridder
Affiliation:
University of Leiden
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Abstract

A general method is developed to compute easy bounds of the weighted stationary probabilities for networks of queues which do not satisfy the standard product form. The bounds are obtained by constructing approximating reversible Markov chains. Thus, the bounds are insensitive with respect to service-time distributions. A special representation, called the tree-form solution, of the stationary distribution is used to derive the bounds. The results are applied to an overflow model.

Keywords

REVERSIBLE MARKOV CHAINSSTATIONARY DISTRIBUTIONTREE-FORM SOLUTIONSTOCHASTIC MONOTONICITYINSENSITIVE BOUNDS
Type
Research Papers
Information
Journal of Applied Probability , Volume 25 , Issue 1 , March 1988 , pp. 9 - 20
Copyright
Copyright © Applied Probability Trust 1988 

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