Abstract
In this paper, we study the reliability measures of a repairable system with M operating units, W warm standby units, and R repairmen in which switching failures and reboot delay are considered. It is assumed that there is a significant failure probability q in the switching process. Failure times of an operating unit and of a standby unit are assumed to be exponentially distributed with parameters 1 and a, respectively. The delay times of reboot are also assumed to be exponentially distributed with parameter p. The explicit expressions of the reliability characteristics such as the system reliability, R Y (t), and the mean time to system failure (MTTF) are derived. Several cases are analyzed graphically to investigate the effects of various system parameters on the R Y (t) and the MTTF. We also perform a sensitivity analysis for the reliability characteristics along with changes in specific values of the system parameters.
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