Repairable Systems With Dependent Components: Stochastic Process Techniques and Models | IEEE Journals & Magazine | IEEE Xplore

Repairable Systems With Dependent Components: Stochastic Process Techniques and Models


Abstract:

We consider three approaches to the modeling of systems with repairable components by a multivariate stochastic on-off process. First, we discuss the Palm calculus framew...Show More

Abstract:

We consider three approaches to the modeling of systems with repairable components by a multivariate stochastic on-off process. First, we discuss the Palm calculus framework for stationary processes and its power in the derivation of general formulae for joint downtime statistics in the case of statistically independent components. Second, a class of Generalized Semi-Markov (GSMP) models is proposed for incorporating both arbitrary component downtime distributions and statistical dependence of component failures. The case of two components is studied in detail. Third, we define the property referred to as weakened-by-failures for a system of repairable components, and prove that it implies association under fairly general conditions. We also give sufficient conditions for our GSMP models to possess this property.
Published in: IEEE Transactions on Reliability ( Volume: 63, Issue: 4, December 2014)
Page(s): 899 - 912
Date of Publication: 25 July 2014

ISSN Information:


References

References is not available for this document.