Analysis of a k-out-of-N system with spares, repairs, and a probabilistic rule

Analysis of a k-out-of-N system with spares, repairs, and a probabilistic rule

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Article ID: iaor20084307
Country: United States
Volume: 2006
Issue: 39093
Start Page Number: 1
End Page Number: 23
Publication Date: Jan 2006
Journal: Journal of Applied Mathematics and Stochastic Analysis
Authors:
Keywords: quality & reliability, markov processes
Abstract:

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-come first-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.

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