IDEAS home Printed from https://ideas.repec.org/a/taf/lstaxx/v50y2021i12p2780-2800.html
   My bibliography  Save this article

Construction of optimal reliability test plans for binary type multi-state strongly coherent systems

Author

Listed:
  • Leena Kulkarni
  • Sanjeev Sabnis

Abstract

The concept of Binary Type Multi-State Strongly Coherent System (BTMSCS) or Multi-State Coherent System of Type 2 (MCS of type 2) has been defined by Natvig (1982). In this research article component based optimal reliability test plans for BTMSCS have been proposed. Here it is assumed that these systems are made up of n components, and the random variables representing lifetimes of systems and their components take values in set S={0,1,2,…,(M−1),M} with M≥2. The construction of reliability test plans for BTMSCS is based on the use of (i) multivariate counting processes with marginal counting processes being homogeneous Poisson processes and (ii) positively upper orthant dependent property of the associated renewal processes. The applicability of the proposed reliability test plans has been demonstrated using all the three BTMSCSs made up of two components and one system consisting of three components with S={0,1,2} under the assumption that (Ti1,Ti2), a bivariate random vector representing times spent by the ith component in states 1 and 2, follows Farlie-Gumbel-Morgenstern distribution with exponential marginals.

Suggested Citation

  • Leena Kulkarni & Sanjeev Sabnis, 2021. "Construction of optimal reliability test plans for binary type multi-state strongly coherent systems," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(12), pages 2780-2800, June.
    • Handle: RePEc:taf:lstaxx:v:50:y:2021:i:12:p:2780-2800
    DOI: 10.1080/03610926.2019.1676444
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/03610926.2019.1676444
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/03610926.2019.1676444?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.

    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:50:y:2021:i:12:p:2780-2800. 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.