Generalized Reliability Results For 1-Out-Of-N-G Repairable Systems

The author examines a class of 1-out-of-n:G systems consisting of n nominally identical units in parallel redundancy serviced by a single repair facility. Assuming constant failure rates and general repair distributions permits the problem of finding the Laplace transform of the time-to-system-failure distribution and the mean time-to-system-failure to be reduced to solving a closed-form system of (n-1) by (n-1) linear equations, for n at least 4. Numerical results are presented using a model of a satellite maintenance service