On the availability of R out of N repairable systems

On the availability of R out of N repairable systems

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Article ID: iaor2003471
Country: United States
Volume: 49
Issue: 5
Start Page Number: 483
End Page Number: 498
Publication Date: Aug 2002
Journal: Naval Research Logistics
Authors: ,
Keywords: markov processes
Abstract:

An R out of N repairable system consists of N components and operates if at least R components are functioning. Repairable means that failed components are repaired, and upon repair completion they are as good as new. We derive formulas for the expected up-time, expected down-time, and the availability of the system, using Markov renewal processes. We assume that either the repair times of the components are generally distributed and the components' lifetimes are exponential or vice versa. The analysis is done for systems with either cold or warm stand-by. Numerical examples are given for several life time and repair time distributions.

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