“…It is worth noting that the failure rate in the simplified formulas considers DU failures only, and that other types of failure modes (e,g,.DD failures) are omitted. Considering the non-negligible repair time (MRT) in a proof test interval [0, τ] given α=1, for 1oo1 system, there is PFDavg=λDUτ/2+λDU•MRT, and for 1oo2 system, there is PFDavg=(λDUτ) 2 /3+MRT•λDU 2 •τ+(λDU•MRT) 2 /2, which is identical to PFDavg formulas in the work [5] for systems with constant failure rates in a proof test interval [0, τ]. These proposed formulas seem complicated, however, it can provide a method to straightforwardly calculate the unavailability considering partial testing and delayed repair.…”