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AVAILABILITY OF CONTINUOUS SERVICE AND COMPUTING LONG-RUN MTBF AND RELIABILITY FOR MARKOV SYSTEMS

Published online by Cambridge University Press:  27 July 2001

John E. Angus
John E. Angus
Affiliation:
Claremont Graduate University, Claremont, California 91711, E-mail: [email protected]
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Abstract

Steady-state availability has long been a popular descriptor of effectiveness for repairable systems because it captures both the operability and repairability aspects of the system. A related measure of effectiveness is the availability of continuous service, which is particularly relevant for safety critical applications. In this article, two different measures of this quantity are described for a repairable system whose state is described by an ergodic finite-state-space continuous-time Markov chain. Using these ideas, formulas for computing system long-run mean time between failures and the long-run system reliability function are derived.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 15 , Issue 3 , July 2001 , pp. 369 - 381
Copyright
© 2001 Cambridge University Press

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