Abstract
Protective systems have two contradictory failures: one is failed-dangerous and the other is failed-safe. Scheduled maintenance is carried out to prevent these failures. Unscheduled maintenance is also carried out when the protective system shuts down the plant to be protected. This paper develops an integral equation for a statistically expected cumulative loss which is caused by the failures of the protective system and the plant. This equation represents special cases number of normal and spurious shutdowns, and hazards. An optimal scheduled maintenance interval is obtained, minimizing the expected loss.
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