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Reliability of the system with loops: Factor graph based approach

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  • Chae, Young Ho
  • Kim, Seung Geun
  • Seong, Poong Hyun

Abstract

Evaluating systems’ vulnerability is important in safety critical systems. For this reason, probabilistic safety assessments (PSAs) are widely conducted in the nuclear industry. To ensure efficient, and accurate reliability analyses, several reliability evaluation methods have been developed. The most familiar method is fault tree analysis. However, as the system becomes more complex, the fault tree structure becomes even more complicated. As an alternative, the graph-based reliability analysis method has been developed. However, conventional graph-based analyses have difficulty with considering a logical loop structure. Here, we suggest a factor graph and belief propagation algorithm based logical loop analysis method for intuitive logical loop consideration. To solve the problem efficiently we modified the belief propagation rules. The proposed methodology was successfully applied to 3-system-in-loop and 4-system- in-loop.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:reensy:v:208:y:2021:i:c:s0951832020308930
    DOI: 10.1016/j.ress.2020.107407
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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. 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.
    3. Guo, Haitao & Yang, Xianhui, 2007. "A simple reliability block diagram method for safety integrity verification," Reliability Engineering and System Safety, Elsevier, vol. 92(9), pages 1267-1273.
    4. Gregory Levitin, 2005. "The Universal Generating Function in Reliability Analysis and Optimization," Springer Series in Reliability Engineering, Springer, number 978-1-84628-245-4, December.
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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. 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).

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