IDEAS home Printed from https://ideas.repec.org/a/ids/ijores/v3y2008i1-2p36-51.html
   My bibliography  Save this article

GERT analysis of m-consecutive-k-out-of-n:F system with overlapping runs and (k–1)-step Markov dependence

Author

Listed:
  • Manju Agarwal
  • Pooja Mohan

Abstract

An m-consecutive-k-out-of-n:F system is a system of n linearly ordered components which fails if and only if at least m non-overlapping sequences of k consecutive components fail. When m = 1, we have the classic consecutive-k-out-of-n:F system about which there is an extensive literature. In this paper, we study the situation in which a system consisting of n linearly ordered sequence of components fails if and only if there are at least m overlapping runs of k consecutive failed components. Graphical Evaluation and Review Technique (GERT) analysis is used for reliability evaluation of the system for both, i.i.d. components and (k–1)-step Markov dependent components, in a unified manner. Software Mathematica is used for systematic computation. Illustrative numerical examples are presented to substantiate the theory.

Suggested Citation

  • Manju Agarwal & Pooja Mohan, 2008. "GERT analysis of m-consecutive-k-out-of-n:F system with overlapping runs and (k–1)-step Markov dependence," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 3(1/2), pages 36-51.
    • Handle: RePEc:ids:ijores:v:3:y:2008:i:1/2:p:36-51
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=16153
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

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


    Cited by:

    1. Mirena TODOROVA, 2019. "Gert Model Of A Technical Station For Determining The Passenger Trainset Delay," Transport Problems, Silesian University of Technology, Faculty of Transport, vol. 14(1), pages 81-93, April.

    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:ids:ijores:v:3:y:2008:i:1/2:p:36-51. 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: Sarah Parker (email available below). General contact details of provider: http://www.inderscience.com/browse/index.php?journalID=170 .

    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.