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Optimal Scheduling of Replacement and Inspection

by Dale Weldeau Jorgenson, John McCall

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An examination of the optimal scheduling of replacement and inspectionfor missiles and other military equipment of a special type. The equipment is subject to stochastic failures and, for at least some of its parts, the actual state of the equipment — whether good or failed — is not known with certainty. Techniques are given for computing optimal inspection or replacement intervals: (1) under the assumption that the distribution of times to failure of the stochastically failing module is known, and (2) under the assumption that the form of the distribution is known but that the failure rate is unknown. A formal analogy is also demonstrated between minimization of cost and minimization of the proportion of downtime.

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