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Inspection policies for deteriorating equipment characterized by n quality levels

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  • Z. Kander

Abstract

Inspection models deal with operating systems whose stochastic failure is detected by observations carried out intermittently. The current communication deals with systems in which N + 1 levels of quality can be diagnosed. Optimal policies leading to minimal loss are developed, while the system's distribution is represented by an (N + 1)‐state semi‐markov process. Based on previous studies of the authors, relative efficiencies of the proposed checking policies are ascertained, by comparison with the loss sustained if discrimination of quality by intermediate levels is disregarded and by viewing the system as one which is either good or failed. Various models are treated where checking, truncated checking, and monitoring policies optimize loss per cycle, per unit of time and per unit of good time. Numerical examples are given.

Suggested Citation

  • Z. Kander, 1978. "Inspection policies for deteriorating equipment characterized by n quality levels," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 25(2), pages 243-255, June.
    • Handle: RePEc:wly:navlog:v:25:y:1978:i:2:p:243-255
    DOI: 10.1002/nav.3800250204
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    Cited by:

    1. Janusz Karpiński, 1988. "Checking policy for deteriorating multistate systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(2), pages 259-268, April.
    2. Ciriaco Valdez‐Flores & Richard M. Feldman, 1989. "A survey of preventive maintenance models for stochastically deteriorating single‐unit systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(4), pages 419-446, August.

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