Abstract
This article presents a periodic preventive maintenance (PM) model for a system subjected to random shocks. A system is subject to shocks that arrive according to a non homogeneous Poisson process. As shocks occur, the system experiences one of two types of failures: Type-I failure (minor) and Type-II failure (catastrophic). Type-I failures are rectified by a minimal repair. In a PM period, the system is preventively maintained following the occurrence of a Type-II failure or at age T, whichever takes place first. At the Nth PM, the system is replaced. An approach that generalizes the existing studies on the periodic PM policy is proposed. Taking the shock number-dependent failure type and the virtual age into consideration, the object consists of determining the optimal PM and replacement schedules that minimize the expected cost per unit of time, over an infinite time horizon.
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