A Preventive Maintenance Model for Linear Consecutive k-Out-of-n: F Systems with Dependent Components

Preventive maintenance (PM) is an important maintenance action to prevent from the occurrence of failures. This paper presents a PM policy for a linear consecutive k-out-of-n: F system that fails if and only if at least k consecutive components fail. The failure rate of a component depends on the state of the adjacent components since the load of a component may increase when its adjacent component fails. The failed components in the system are replaced with new ones either at the time of system failure or at the time of PM whichever comes first. A failure sequence diagram is presented to establish the reliability model of the system. Based on the reliability model, the optimal preventive maintenance strategy which minimizes the long-run expected system cost per unit time is studied with an illustrative example.

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