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: | Chakravarthy Srinivas R. |
Keywords: | quality & reliability, markov processes |
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.