Operations Research, Systems Engineering and Industrial Engineering Commons^™

Analysis Of A K-Out-Of-N System With Spares, Repairs, And A Probabilistic Rule, Srinivas R. Chakravarthy

Industrial & Manufacturing Engineering Publications

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.