Reliability and sensitivity analysis of a repairable system with imperfect coverage under service pressure condition

This paper investigates reliability and sensitivity analysis of a repairable system with imperfect coverage under service pressure condition. Failure times and repair times of failed units are assumed to be exponentially distributed. As a unit fails, it may be immediately detected, located and replaced with a coverage probability c by a standby if one is available. When the repairmen are under the pressure of a long queue, the repairmen may increase the repair rate to reduce the queue length. We derive the explicit expressions for reliability function and mean time to system failure (MTTF). Various cases are analyzed to study the effects of different parameters on the system reliability and MTTF. We also accomplish sensitivity analysis and relative sensitivity analysis of the reliability characteristics with respect to system parameters.

► We investigate the reliability and sensitivity analysis of a repairable system.
► Imperfect coverage, reboot delay, and service pressure condition are considered.
► The explicit expressions for reliability function RY(t) and MTTF are derived.
► Perform sensitive analysis and relative sensitivity analysis on the system reliability and the mean time to system failure.
► Discuss the order of magnitude of the sensitivity to RY(t) and MTTF.