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An exact method for solving logical loops in reliability analysis

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  • Matsuoka, Takeshi

Abstract

This paper presents an exact method for solving logical loops in reliability analysis. The systems that include logical loops are usually described by simultaneous Boolean equations. First, present a basic rule of solving simultaneous Boolean equations. Next, show the analysis procedures for three-component system with external supports. Third, more detailed discussions are given for the establishment of logical loop relation. Finally, take up two typical structures which include more than one logical loop. Their analysis results and corresponding GO-FLOW charts are given. The proposed analytical method is applicable to loop structures that can be described by simultaneous Boolean equations, and it is very useful in evaluating the reliability of complex engineering systems.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reensy:v:94:y:2009:i:8:p:1282-1288
    DOI: 10.1016/j.ress.2009.01.007
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    References listed on IDEAS

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    1. 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.
    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.
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    Cited by:

    1. Alkaff, Abdullah & Qomarudin, Mochamad Nur & Bilfaqih, Yusuf, 2021. "Network reliability analysis: matrix-exponential approach," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    2. Alkaff, Abdullah & Qomarudin, Mochamad Nur & Bilfaqih, Yusuf, 2020. "Network reliability analysis: Matrix-exponential approach," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    3. 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).
    4. Chae, Young Ho & Kim, Seung Geun & Seong, Poong Hyun, 2021. "Reliability of the system with loops: Factor graph based approach," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
    5. Matsuoka, Takeshi, 2021. "Procedure to solve mutually dependent Fault Trees (FT with loops)," Reliability Engineering and System Safety, Elsevier, vol. 214(C).

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    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. Matsuoka, Takeshi, 2021. "Procedure to solve mutually dependent Fault Trees (FT with loops)," Reliability Engineering and System Safety, Elsevier, vol. 214(C).
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