IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v92y2007i6p804-807.html
   My bibliography  Save this article

An analytic solution for a fault tree with circular logics in which the systems are linearly interrelated

Author

Listed:
  • Lim, Ho-Gon
  • Jang, Seung-Cheol

Abstract

A circular logic or a logical loop is defined as the infinite circulation of supporting relations due to their mutual dependencies among the systems in the fault tree analysis. While many methods to break the circular logic have been developed and used in the fault tree quantification codes, the general solution for a circular logic is not generally known as yet. This paper presents an analytic solution for circular logics in which the systems are linearly interrelated with each other. To formulate the analytic solution, the relations among systems in the fault tree structure are described by the Boolean equations. The solution is, then, obtained from the successive substitutions of the Boolean equations, which is equivalent to the attaching processes of interrelated system's fault tree to a given fault tree. The solution for three interrelated systems and their independent fault tree structures are given as an example.

Suggested Citation

  • Lim, Ho-Gon & Jang, Seung-Cheol, 2007. "An analytic solution for a fault tree with circular logics in which the systems are linearly interrelated," Reliability Engineering and System Safety, Elsevier, vol. 92(6), pages 804-807.
    • Handle: RePEc:eee:reensy:v:92:y:2007:i:6:p:804-807
    DOI: 10.1016/j.ress.2006.04.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832006000901
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ress.2006.04.001?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.

    References listed on IDEAS

    as
    1. Jung, Woo Sik & Han, Sang Hoon, 2005. "Development of an analytical method to break logical loops at the system level," Reliability Engineering and System Safety, Elsevier, vol. 90(1), pages 37-44.
    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. Matsuoka, Takeshi, 2023. "Reliability analysis of a BWR plant system at startup stage  - analysis by the GO-FLOW methodology with consideration of loop structures and phased mission problem -," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    2. Qianwen Li & Ruyin Long & Hong Chen & Jichao Geng, 2017. "Low Purchase Willingness for Battery Electric Vehicles: Analysis and Simulation Based on the Fault Tree Model," Sustainability, MDPI, vol. 9(5), pages 1-20, May.
    3. Alkaff, Abdullah & Qomarudin, Mochamad Nur & Bilfaqih, Yusuf, 2021. "Network reliability analysis: matrix-exponential approach," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    4. Alkaff, Abdullah & Qomarudin, Mochamad Nur & Bilfaqih, Yusuf, 2020. "Network reliability analysis: Matrix-exponential approach," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    5. Matsuoka, Takeshi, 2009. "An exact method for solving logical loops in reliability analysis," Reliability Engineering and System Safety, Elsevier, vol. 94(8), pages 1282-1288.
    6. Matsuoka, Takeshi, 2021. "Procedure to solve mutually dependent Fault Trees (FT with loops)," Reliability Engineering and System Safety, Elsevier, vol. 214(C).

    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. Matsuoka, Takeshi, 2023. "Reliability analysis of a BWR plant system at startup stage  - analysis by the GO-FLOW methodology with consideration of loop structures and phased mission problem -," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    2. Vaurio, Jussi K., 2007. "A recursive method for breaking complex logic loops in Boolean system models," Reliability Engineering and System Safety, Elsevier, vol. 92(10), pages 1473-1475.

    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:92:y:2007:i:6:p:804-807. 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: 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.