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Switching Markov chains for a holistic modeling of SIS unavailability

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  • Mechri, Walid
  • Simon, Christophe
  • BenOthman, Kamel

Abstract

This paper proposes a holistic approach to model the Safety Instrumented Systems (SIS). The model is based on Switching Markov Chain and integrates several parameters like Common Cause Failure, Imperfect Proof testing, partial proof testing, etc. The basic concepts of Switching Markov Chain applied to reliability analysis are introduced and a model to compute the unavailability for a case study is presented. The proposed Switching Markov Chain allows us to assess the effect of each parameter on the SIS performance. The proposed method ensures the relevance of the results.

Suggested Citation

  • Mechri, Walid & Simon, Christophe & BenOthman, Kamel, 2015. "Switching Markov chains for a holistic modeling of SIS unavailability," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 212-222.
    • Handle: RePEc:eee:reensy:v:133:y:2015:i:c:p:212-222
    DOI: 10.1016/j.ress.2014.09.005
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    5. Zhang, Aibo & Wu, Shengnan & Fan, Dongming & Xie, Min & Cai, Baoping & Liu, Yiliu, 2022. "Adaptive testing policy for multi-state systems with application to the degrading final elements in safety-instrumented systems," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    6. Azizpour, Hooshyar & Lundteigen, Mary Ann, 2019. "Analysis of simplification in Markov-based models for performance assessment of Safety Instrumented System," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 252-260.
    7. Zhang, Aibo & Srivastav, Himanshu & Barros, Anne & Liu, Yiliu, 2021. "Study of testing and maintenance strategies for redundant final elements in SIS with imperfect detection of degraded state," Reliability Engineering and System Safety, Elsevier, vol. 209(C).
    8. Zhang, Aibo & Zhang, Tieling & Barros, Anne & Liu, Yiliu, 2020. "Optimization of maintenances following proof tests for the final element of a safety-instrumented system," Reliability Engineering and System Safety, Elsevier, vol. 196(C).
    9. Cai, Baoping & Liu, Yu & Fan, Qian, 2016. "A multiphase dynamic Bayesian networks methodology for the determination of safety integrity levels," Reliability Engineering and System Safety, Elsevier, vol. 150(C), pages 105-115.
    10. Innal, Fares & Lundteigen, Mary Ann & Liu, Yiliu & Barros, Anne, 2016. "PFDavg generalized formulas for SIS subject to partial and full periodic tests based on multi-phase Markov models," Reliability Engineering and System Safety, Elsevier, vol. 150(C), pages 160-170.

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