IDEAS home Printed from https://ideas.repec.org/a/ids/ijrsaf/v4y2010i4p381-392.html
   My bibliography  Save this article

Analysis of a complex system with common cause failure and two types of repair facilities with different distributions in failure

Author

Listed:
  • Mangey Ram
  • S.B. Singh

Abstract

This paper through a systematic view presents a mathematical model of a complex system that can fail in n-mutually exclusive ways of total failure or due to common cause failure. The system has two modes, namely normal and failed, with two types of repair facility. Repair rates are arbitrary functions of the time spent. All transition rates are assumed to be constant except at one where two types of failure, namely logarithmic and constant are possible. By employing a supplementary variable technique, Laplace transformation and Gumbel-Hougaard family copula, various transition state probabilities, availability and cost analysis (expected profit) are obtained along with steady-state behaviour of the system. Time-dependent probabilities and availability are also obtained by evaluating inversions. Finally, some special cases of the system and their plots are also appended.

Suggested Citation

  • Mangey Ram & S.B. Singh, 2010. "Analysis of a complex system with common cause failure and two types of repair facilities with different distributions in failure," International Journal of Reliability and Safety, Inderscience Enterprises Ltd, vol. 4(4), pages 381-392.
    • Handle: RePEc:ids:ijrsaf:v:4:y:2010:i:4:p:381-392
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=35576
    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. Ritu Chandna & Mangey Ram, 2016. "Fuzzy analytic hierarchy process to a structure under 2-out-of-3:F modeling," OPSEARCH, Springer;Operational Research Society of India, vol. 53(4), pages 693-704, December.

    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:ijrsaf:v:4:y:2010:i:4:p:381-392. 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=98 .

    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.