Journal of Applied Mathematics and Stochastic Analysis
We consider a k-out-of-N reliability system with identical components having exponential lifetimes. There is a single repairman who attends to failed components on a first comefirst-served basis. The repair times are assumed to be of phase type. The system has K spares that can be used according to a probabilistic rule to extend the lifetime of the system. The system is analyzed using Markov chain theory and some interesting results are obtained. A few illustrative numerical examples are discussed.
© 2006 Srinivas R. Chakravarthy. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Chakravarthy, Srinivas R., "Analysis of a k-out-of-N System with Spares, Repairs, and a Probabilistic Rule" (2006). Industrial & Manufacturing Engineering Publications. 36.