Reliability analysis of some typical repairable systems with arbitrary repair-time distribution

In this paper, reliability of some typical non-Markov repairable systems, including series systems, m-out-of-n or majority vote systems, and n : m cross-strapping standby redundant systems with general repair-time distribution, are studied by applying the generalized Markov renewal process (GMRP). The stochastic behavior of the typical systems is analyzed here. Formulas for mean time to first system failure, MTBF, MTTR, and availability are then developed.