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We consider ak-out-of-Nreliability 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 hasKspares 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.doi:10.1155/jamsa/2006/39093 fatcat:alrftoqwpre7ndmo27jwoyeefy