IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v43y1996i7p1025-1034.html
   My bibliography  Save this article

Exploiting symmetry in the reliability analysis of coherent systems

Author

Listed:
  • M. Xie
  • C. D. Lai

Abstract

Components in a complex system are usually not structurally identical. However, in many cases we may find components that are structurally symmetric, and one should make use of this additional information to simplify reliability analysis. The main purpose of this article is to define and study one such class of systems, namely, those having symmetric components, and to derive some reliability‐related properties. © 1996 John Wiley & Sons, Inc.

Suggested Citation

  • M. Xie & C. D. Lai, 1996. "Exploiting symmetry in the reliability analysis of coherent systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(7), pages 1025-1034, October.
    • Handle: RePEc:wly:navres:v:43:y:1996:i:7:p:1025-1034
    DOI: 10.1002/(SICI)1520-6750(199610)43:73.0.CO;2-H
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/(SICI)1520-6750(199610)43:73.0.CO;2-H
    Download Restriction: no
    File URL: https://libkey.io/10.1002/(SICI)1520-6750(199610)43:73.0.CO;2-H?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
    ---><---

    References listed on IDEAS

    as
    1. Philip J. Boland & Frank Proschan & Y. L. Tong, 1989. "Optimal arrangement of components via pairwise rearrangements," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(6), pages 807-815, December.
    2. M. V. Koutras & G. K. Papadopoulos & S. G. Papastavridis, 1994. "Note: Pairwise rearrangements in reliability structures," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(5), pages 683-687, August.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Hong, J. S. & Koo, H. Y. & Lie, C. H., 2002. "Joint reliability importance of k-out-of-n systems," European Journal of Operational Research, Elsevier, vol. 142(3), pages 539-547, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Xiaoyan Zhu & Way Kuo, 2014. "Importance measures in reliability and mathematical programming," Annals of Operations Research, Springer, vol. 212(1), pages 241-267, January.
    2. Wu, Shaomin & Coolen, Frank P.A., 2013. "A cost-based importance measure for system components: An extension of the Birnbaum importance," European Journal of Operational Research, Elsevier, vol. 225(1), pages 189-195.
    3. da Costa Bueno, Vanderlei, 2005. "Minimal standby redundancy allocation in a k-out-of-n:F system of dependent components," European Journal of Operational Research, Elsevier, vol. 165(3), pages 786-793, September.
    4. Hsun‐Wen Chang & F.K. Hwang, 2002. "Rare‐event component importance for the consecutive‐k system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(2), pages 159-166, March.
    5. Bhattacharya, Debasis & Samaniego, Francisco J., 2008. "On the optimal allocation of components within coherent systems," Statistics & Probability Letters, Elsevier, vol. 78(7), pages 938-943, May.
    6. da Costa Bueno, Vanderlei & Martins do Carmo, Iran, 2007. "Active redundancy allocation for a k-out-of-n:F system of dependent components," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1041-1051, January.
    7. Chia‐Shin Chung & James Flynn, 1997. "A heuristic algorithm for determining replacement policies in k‐out‐of‐n systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(3), pages 273-286, April.
    8. Modibbo, Umar Muhammad & Arshad, Mohd. & Abdalghani, Omer & Ali, Irfan, 2021. "Optimization and estimation in system reliability allocation problem," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    9. Stathis Chadjiconstantinidis & Markos V. Koutras, 1999. "Measures of component importance for markov chain imbeddable reliability structures," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(6), pages 613-639, September.

    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:wly:navres:v:43:y:1996:i:7:p:1025-1034. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.