IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v242y2024ics0951832023006270.html
   My bibliography  Save this article

Joint signatures of two or more semi-coherent systems with shared components

Author

Listed:
  • Yi, He
  • Balakrishnan, Narayanaswamy
  • Li, Xiang

Abstract

In this paper, for two or more semi-coherent systems with shared components, three signature measures–joint signature, joint survival signature and joint cumulative signature–are presented and their relationship to joint reliability and joint unreliability are also discussed. This relationship provides a joint (survival/cumulative) signature computational method which transforms related computation to the computation of joint reliability/unreliability of the systems. Based on that, further discussions on computation of the joint reliability are presented for two different types of consecutive-k systems, namely, linear (n, f, k): F systems and linear : F systems, by using finite Markov chain imbedding approach (FMCIA) in a new and novel way. Besides, for modular systems that can be regarded as a series/parallel connection of two groups of subsystems with shared components, their joint (survival/cumulative) signature is derived based on the joint survival/cumulative signatures of the subsystems, and this provides another computational method for joint signatures. Related results are applied to calculate joint signatures of a series/parallel connection of (n, f, k): F subsystems and : F subsystems by applying the two computational methods together. Finally, some potential applications and generalizations are mentioned.

Suggested Citation

  • Yi, He & Balakrishnan, Narayanaswamy & Li, Xiang, 2024. "Joint signatures of two or more semi-coherent systems with shared components," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
    • Handle: RePEc:eee:reensy:v:242:y:2024:i:c:s0951832023006270
    DOI: 10.1016/j.ress.2023.109713
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832023006270
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ress.2023.109713?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.

    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:eee:reensy:v:242:y:2024:i:c:s0951832023006270. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/reliability-engineering-and-system-safety .

    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.