IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v20y1972i2p335-343.html
   My bibliography  Save this article

Some Reliability Fault-Testing Models

Author

Listed:
  • Richard Butterworth

    (Naval Postgraduate School, Monterey, California)

Abstract

This paper presents several fault-testing models. Our system is composed of n components that either work or fail. The systems treated are the k -out-of- n type ( k / n ). This system works if and only if k or more of its components work, making the series ( n / n ) and parallel (1/ n ) systems special cases. Components can be individually tested and tests give perfect information. Each test has a time to complete it and testing procedures are judged by the expected cumulative testing time they require. In the first model, the components are assumed to function or fail independently of each other. A feasible test procedure must determine (as) if the system is working or has failed. This is solved for the series and parallel systems and, under a possibly restrictive hypothesis, for the general k / n system. In another model, the components are assumed to be nominally independent conditioned on the system being failed. Here a feasible test procedure must locate all failed components. This problem is solved for the general k / n system.

Suggested Citation

  • Richard Butterworth, 1972. "Some Reliability Fault-Testing Models," Operations Research, INFORMS, vol. 20(2), pages 335-343, April.
    • Handle: RePEc:inm:oropre:v:20:y:1972:i:2:p:335-343
    DOI: 10.1287/opre.20.2.335
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.20.2.335
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.20.2.335?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. Azaiez, M.N. & Bier, Vicki M., 2007. "Optimal resource allocation for security in reliability systems," European Journal of Operational Research, Elsevier, vol. 181(2), pages 773-786, September.
    2. B. De Reyck & Y. Grushka-Cockayne & R. Leus, 2007. "A New Challenge in Project Scheduling. The Incorporation of Activity Failures," Review of Business and Economic Literature, KU Leuven, Faculty of Economics and Business (FEB), Review of Business and Economic Literature, vol. 0(3), pages 410-435.
    3. Wei Chen & Milind Dawande & Ganesh Janakiraman, 2018. "Optimal Procurement Auctions Under Multistage Supplier Qualification," Manufacturing & Service Operations Management, INFORMS, vol. 20(3), pages 566-582, July.
    4. Rostami, Salim & Creemers, Stefan & Wei, Wenchao & Leus, Roel, 2019. "Sequential testing of n-out-of-n systems: Precedence theorems and exact methods," European Journal of Operational Research, Elsevier, vol. 274(3), pages 876-885.

    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:inm:oropre:v:20:y:1972:i:2:p:335-343. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.