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New insight into the average probability of failure on demand and the probability of dangerous failure per hour of safety instrumented systems

Author

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  • F Innal
  • Y Dutuit
  • A Rauzy
  • J-P Signoret

Abstract

The aim of this paper is to give a new insight into some fundamental concepts of the IEC 61508 standard. First, low and high or continuous demand modes of operation of safety instrumented systems are examined by analysing their official definitions given in the IEC 61508 and IEC 61511 standards. In this context, the paper proposes a new criterion for distinguishing these two modes of operation. A study allowing the determination of accident frequency is also presented, where the system under study consists of one element under control and its associated safety instrumented system. Second, the relationship between the average probabilities of failure on demand and the risk reduction factor is studied. It is shown that the commonly used approach (the standard approach) may lead to an optimistic value for the risk reduction factor. Finally, the paper clarifies the nature of the probability of failure per hour of a safety instrumented system and proposes different ways to compute this in the general case, based on fault tree, Markov model, and Petri nets approaches.

Suggested Citation

  • F Innal & Y Dutuit & A Rauzy & J-P Signoret, 2010. "New insight into the average probability of failure on demand and the probability of dangerous failure per hour of safety instrumented systems," Journal of Risk and Reliability, , vol. 224(2), pages 75-86, June.
    • Handle: RePEc:sae:risrel:v:224:y:2010:i:2:p:75-86
    DOI: 10.1243/1748006XJRR278
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    Citations

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    Cited by:

    1. Cherfi, Abraham & Leeman, Michel & Meurville, Florent & Rauzy, Antoine, 2014. "Modeling automotive safety mechanisms: A Markovian approach," Reliability Engineering and System Safety, Elsevier, vol. 130(C), pages 42-49.
    2. Liu, Yiliu, 2014. "Optimal staggered testing strategies for heterogeneously redundant safety systems," Reliability Engineering and System Safety, Elsevier, vol. 126(C), pages 65-71.
    3. Liu, Yiliu & Rausand, Marvin, 2016. "Proof-testing strategies induced by dangerous detected failures of safety-instrumented systems," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 366-372.
    4. Innal, Fares & Dutuit, Yves & Chebila, Mourad, 2015. "Safety and operational integrity evaluation and design optimization of safety instrumented systems," Reliability Engineering and System Safety, Elsevier, vol. 134(C), pages 32-50.
    5. Cacheux, Pierre-Joseph & Collas, Stéphane & Dutuit, Yves & Folleau, Cyrille & Signoret, Jean-Pierre & Thomas, Philippe, 2013. "Assessment of the expected number and frequency of failures of periodically tested systems," Reliability Engineering and System Safety, Elsevier, vol. 118(C), pages 61-70.
    6. Hokstad, Per, 2014. "Demand rate and risk reduction for safety instrumented systems," Reliability Engineering and System Safety, Elsevier, vol. 127(C), pages 12-20.
    7. Alizadeh, Siamak & Sriramula, Srinivas, 2018. "Impact of common cause failure on reliability performance of redundant safety related systems subject to process demand," Reliability Engineering and System Safety, Elsevier, vol. 172(C), pages 129-150.
    8. Jin, Hui & Lundteigen, Mary Ann & Rausand, Marvin, 2013. "New PFH-formulas for k-out-of-n:F-systems," Reliability Engineering and System Safety, Elsevier, vol. 111(C), pages 112-118.

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