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DEPENDENCE ORDERING FOR QUEUING NETWORKS WITH BREAKDOWN AND REPAIR
Published online by Cambridge University Press: 19 September 2006
Abstract
In this article we introduce isotone differences stochastic ordering of Markov processes on lattice ordered state spaces as a device to compare the internal dependencies of two such processes. We derive a characterization in terms of intensity matrices. This enables us to compare the internal dependency structure of different degradable Jackson networks in which the nodes are subject to random breakdowns and repairs. We show that the performance behavior and the availability of such networks can be compared.
- Type
- Research Article
- Information
- Probability in the Engineering and Informational Sciences , Volume 20 , Issue 4 , October 2006 , pp. 575 - 594
- Copyright
- © 2006 Cambridge University Press
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