IDEAS home Printed from https://ideas.repec.org/a/taf/lstaxx/v49y2020i7p1761-1767.html
   My bibliography  Save this article

On δ-shock model in a multi-state system

Author

Listed:
  • Mohammad Hossein Poursaeed

Abstract

Shock models and multi-state systems have both been studied in the reliability literature. Suppose a system experiences shocks that occur randomly and their occurrence causes a change in the system performance. Suppose these shocks occur randomly over discrete time periods, and δ1 and δ2 are two critical thresholds. The system’s efficiency decreases when the time interval between two consecutive shocks falls between [δ1,δ2) and the system fails when the time interval is less than δ1. In this article, the failure time of such a system is studied under two cases. In the first case, the system's failure only depends on the time interval falling below δ1 whereas in the second case, the failure of the system can also occur due to decreasing of system's efficiency. We derive explicit expressions for the distribution and the mean time to failure of the system under the two above mentioned cases.

Suggested Citation

  • Mohammad Hossein Poursaeed, 2020. "On δ-shock model in a multi-state system," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(7), pages 1761-1767, April.
    • Handle: RePEc:taf:lstaxx:v:49:y:2020:i:7:p:1761-1767
    DOI: 10.1080/03610926.2019.1565784
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/03610926.2019.1565784
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/03610926.2019.1565784?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
    ---><---

    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. Eryilmaz, Serkan & Unlu, Kamil Demirberk, 2023. "A new generalized δ-shock model and its application to 1-out-of-(m+1):G cold standby system," Reliability Engineering and System Safety, Elsevier, vol. 234(C).

    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:taf:lstaxx:v:49:y:2020:i:7:p:1761-1767. 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 Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/lsta .

    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.