Letter to the Editor—Nonoptimality of Planned Replacement in Intervals of Decreasing Failure Rate

Eric V. Denardo and Bennett L. Fox
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Eric V. Denardo: The Rand Corporation, Santa Monica, California
Bennett L. Fox: The Rand Corporation, Santa Monica, California

Operations Research, 1967, vol. 15, issue 2, 358-359

Abstract: The planned replacement problem assumes a known failure distribution F ( t ) and that replacement occurs at the earlier of a planned replacement interval (at cost c 1 ) and the time of failure (at cost c 2 ). We show that it cannot be optimal to select a planned replacement interval at a point for which the failure rate f ( t )/[1 − F ( t )] is decreasing.

Date: 1967
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