IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v35y1988i5p393-411.html
   My bibliography  Save this article

Optimal inspection under semi‐markovian deterioration: The catastrophic case

Author

Listed:
  • Armando Z. Milioni
  • Stanley R. Pliska

Abstract

One seeks the optimal inspection schedule for a system whose deterioration process is a semi‐Markov process that progresses toward failure. Costs are incurred for each inspection, each false positive, and any corrective actions. There is no cost of failure, since failure is catastrophic. Two problems are analyzed. First, one wishes to minimize the expected costs subject to the constraint that the probability of failure be less than a specified value. Alternatively, one wishes to minimize the probability of failure subject to the constraint that a specified number of inspections are performed. A computational example, based on a problem of medical screening, is provided.

Suggested Citation

  • Armando Z. Milioni & Stanley R. Pliska, 1988. "Optimal inspection under semi‐markovian deterioration: The catastrophic case," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(5), pages 393-411, October.
    • Handle: RePEc:wly:navres:v:35:y:1988:i:5:p:393-411
    DOI: 10.1002/1520-6750(198810)35:53.0.CO;2-N
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/1520-6750(198810)35:53.0.CO;2-N
    Download Restriction: no
    File URL: https://libkey.io/10.1002/1520-6750(198810)35:53.0.CO;2-N?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yeh, Ruey Huei, 1997. "Optimal inspection and replacement policies for multi-state deteriorating systems," European Journal of Operational Research, Elsevier, vol. 96(2), pages 248-259, January.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:navres:v:35:y:1988:i:5:p:393-411. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.