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Procedure to solve mutually dependent Fault Trees (FT with loops)

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  • Matsuoka, Takeshi

Abstract

This paper presents a procedure to solve mutually dependent Fault Trees in success events expression. First, explain the basic procedure by using simple dependent fault trees. Detailed analysis steps are described. Next, the procedure is applied to more complex fault trees with 3 non-linear interrelated loops. FT structures are converted into a physical system model, which satisfy Boolean equations in success events expression. The Boolean equations are solved with the aid of takeover phenomenon by considering the process of establishing loop structured operation. Finally, the solution is converted into failure expression and obtain a fault tree structure. It is shown that the representative possible solution of mutually dependent Fault Trees can be obtained by formulary method. And FT with loops can be solvable without approximation.

Suggested Citation

  • Matsuoka, Takeshi, 2021. "Procedure to solve mutually dependent Fault Trees (FT with loops)," Reliability Engineering and System Safety, Elsevier, vol. 214(C).
    • Handle: RePEc:eee:reensy:v:214:y:2021:i:c:s0951832021002076
    DOI: 10.1016/j.ress.2021.107667
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
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    Cited by:

    1. Yılmaz, Emre & German, Brian J. & Pritchett, Amy R., 2023. "Optimizing resource allocations to improve system reliability via the propagation of statistical moments through fault trees," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    2. Zhou, Siwei & Ye, Luyao & Xiong, Shengwu & Xiang, Jianwen, 2022. "Reliability analysis of dynamic fault trees with Priority-AND gates based on irrelevance coverage model," Reliability Engineering and System Safety, Elsevier, vol. 224(C).

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