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

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  • Eric V. Denardo

    (The Rand Corporation, Santa Monica, California)

  • Bennett L. Fox

    (The Rand Corporation, Santa Monica, California)

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.

Suggested Citation

  • Eric V. Denardo & Bennett L. Fox, 1967. "Letter to the Editor—Nonoptimality of Planned Replacement in Intervals of Decreasing Failure Rate," Operations Research, INFORMS, vol. 15(2), pages 358-359, April.
    • Handle: RePEc:inm:oropre:v:15:y:1967:i:2:p:358-359
    DOI: 10.1287/opre.15.2.358
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