N-unit parallel redundant system with correlated failure and single repair facility
Abstract The system treated in this paper is an N-unit parallel redundant system with correlated failure and single repair facility, where correlation means that any two units in the system or all the units are possible to fail at the same time. Two models, model 1 and model 2, are considered. And we obtain the following results; for both models Laplace transform (L-T) of the pointwise availability, stationary availability, L-T of the system reliability and, furthermore, for model 2, the distribution of the number of repairs completed in (0,t]. Finally stationary availability of model 1 is compared with that of model 2, and graphical results are presented.