Mathematical Model for Operational Readiness

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Abstract
To ensure a high degree of operational readiness of a complicated device or system, either continuous monitoring or periodic testing of the components that are subject to failure must be undertaken. These procedures may in themselves, however, subject the device or system to further stresses that may lead to failures. Furthermore, the efficiency of such tests in detecting failures, their rate of making false alarms and thus subjecting the system to unnecessary repairs also determine the long-run proportion of time during which the system is ready for use when demanded. This paper develops an operational-readiness model, in terms of military-type equipment, which includes uncertain test results and failures caused by testing.

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