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Optimal Inspection Schedules for Failure Detection in a Model Where Tests Hasten Failures

Author

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  • N. Wattanapanom

    (National Institute of Development Administration, Bangkok, Thailand)

  • L. Shaw

    (Polytechnic Institute of New York, Brooklyn, New York)

Abstract

Methods are well known for determining testing times to minimize the mean cost of testing plus mean cost of an undetected failure (linear in the mean time between failure and detection) when testing does not degrade a good system. Here, we introduce a model in which the i th test increases the remaining failure rate without changing the form of the conditional lifetime distribution. We give algorithms for finding the best testing times in cases of uniform and exponential failure time distributions. Optimization over a single cycle is considered first, and then the case with component renewals is solved using the mean-loss-per-unit-time criterion.

Suggested Citation

  • N. Wattanapanom & L. Shaw, 1979. "Optimal Inspection Schedules for Failure Detection in a Model Where Tests Hasten Failures," Operations Research, INFORMS, vol. 27(2), pages 303-317, April.
    • Handle: RePEc:inm:oropre:v:27:y:1979:i:2:p:303-317
    DOI: 10.1287/opre.27.2.303
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    Cited by:

    1. Darghouth, M.N. & Chelbi, Anis & Ait-kadi, Daoud, 2012. "A profit assessment model for equipment inspection and replacement under renewing free replacement warranty policy," International Journal of Production Economics, Elsevier, vol. 135(2), pages 899-906.
    2. Leung, Francis Kit-nam, 2001. "Inspection schedules when the lifetime distribution of a single-unit system is completely unknown," European Journal of Operational Research, Elsevier, vol. 132(1), pages 106-115, July.

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