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Probability of failure on demand of safety systems: impact of partial test distribution

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  • Florent Brissaud
  • Anne Barros
  • Christophe Bérenguer

Abstract

In accordance with the IEC  61508 functional safety standard, safety-related systems operating in a low demand mode need to be proof tested to reveal any ‘dangerous undetected failures’. Proof tests may be full (i.e. complete) or partial (i.e. incomplete), depending on their ability to detect all the system failures or only a part of them. Following a partial test, some failures may then be left latent until the full test, whereas after a full test (and overhaul), the system is restored to an as-good-as-new condition. A partial-test policy is defined by the efficiency of the partial tests, and the number and distribution (periodic or non-periodic) of the partial tests in the full test time interval. Non-approximate equations are introduced for probability of failure on demand (PFD) assessment of a M oo N architecture (i.e. k -out-of- n : G) systems subject to partial and full tests. Partial tests may occur at different time instants (periodic or not) until the full test. The time-dependent, average, and maximum system unavailability (PFD(t), PFDavg, and PFDmax) are investigated, and the impact of the partial test distribution on average and maximum system unavailability are analysed, according to system architecture, component failure rates, and partial test efficiency.

Suggested Citation

  • Florent Brissaud & Anne Barros & Christophe Bérenguer, 2012. "Probability of failure on demand of safety systems: impact of partial test distribution," Journal of Risk and Reliability, , vol. 226(4), pages 426-436, August.
    • Handle: RePEc:sae:risrel:v:226:y:2012:i:4:p:426-436
    DOI: 10.1177/1748006X12448142
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    References listed on IDEAS

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    1. Lundteigen, Mary Ann & Rausand, Marvin, 2009. "Architectural constraints in IEC 61508: Do they have the intended effect?," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 520-525.
    2. Kumar, Manoj & Verma, A.K. & Srividya, A., 2008. "Modeling demand rate and imperfect proof-test and analysis of their effect on system safety," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1720-1729.
    3. Dutuit, Y. & Innal, F. & Rauzy, A. & Signoret, J.-P., 2008. "Probabilistic assessments in relationship with safety integrity levels by using Fault Trees," Reliability Engineering and System Safety, Elsevier, vol. 93(12), pages 1867-1876.
    4. Torres-Echeverría, A.C. & Martorell, S. & Thompson, H.A., 2009. "Modelling and optimization of proof testing policies for safety instrumented systems," Reliability Engineering and System Safety, Elsevier, vol. 94(4), pages 838-854.
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    Cited by:

    1. Jin, Hui & Rausand, Marvin, 2014. "Reliability of safety-instrumented systems subject to partial testing and common-cause failures," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 146-151.
    2. 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.
    3. 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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