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Safety Integrity Level (SIL) evaluation of safety instrumented systems considering competing failure modes and subsystem priorities

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  • Cheraghi, Morteza
  • Taghipour, Sharareh

Abstract

Safety Integrity Level (SIL) is a crucial measure of the safety performance of Safety Instrumented Systems (SISs), reflecting their ability to reduce risk. However, SIL analysis has often overlooked the impact of competing failure modes and subsystem priorities within SISs. This paper introduces a novel probabilistic model for evaluating the SIL of safety functions that incorporates these critical aspects. The model calculates the time-dependent Probability of (dangerous) Failure on Demand (PFD) and Probability of Failing Safely (PFS) at the component, subsystem, and system levels. The average PFD (PFDavg) and SIL are calculated considering both planned and unplanned proof tests. The proposed model is validated through Monte Carlo simulations and applied to a safety system designed to protect a process vessel from high-pressure hazards. A comparative analysis with existing models demonstrates that competing failure modes and subsystem priorities significantly influence PFD, PFS, PFDavg, and consequently SIL, especially in systems with longer proof test intervals and higher Safe Failure Fractions (SFFs).

Suggested Citation

  • Cheraghi, Morteza & Taghipour, Sharareh, 2025. "Safety Integrity Level (SIL) evaluation of safety instrumented systems considering competing failure modes and subsystem priorities," Reliability Engineering and System Safety, Elsevier, vol. 260(C).
    • Handle: RePEc:eee:reensy:v:260:y:2025:i:c:s0951832025002261
    DOI: 10.1016/j.ress.2025.111025
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    References listed on IDEAS

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    1. 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).
    2. Redutskiy, Yury & Camitz-Leidland, Cecilie M. & Vysochyna, Anastasiia & Anderson, Kristanna T. & Balycheva, Marina, 2021. "Safety systems for the oil and gas industrial facilities: Design, maintenance policy choice, and crew scheduling," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    3. Xie, Lin & Lundteigen, Mary Ann & Liu, Yiliu, 2021. "Performance analysis of safety instrumented systems against cascading failures during prolonged demands," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    4. Ding, Long & Wang, Hong & Jiang, Jin & Xu, Aidong, 2017. "SIL verification for SRS with diverse redundancy based on system degradation using reliability block diagram," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 170-187.
    5. 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.
    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. Wang, Jingjing & Zheng, Rui & Lin, Tianran, 2022. "Maintenance modeling for balanced systems subject to two competing failure modes," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    8. Hao Peng & Qianmei Feng & David Coit, 2010. "Reliability and maintenance modeling for systems subject to multiple dependent competing failure processes," IISE Transactions, Taylor & Francis Journals, vol. 43(1), pages 12-22.
    9. Rodrigues, Augusto J.S. & Cavalcante, Cristiano A.V. & Lee, Chi-Guhn, 2024. "A general inspection and replacement policy for protection systems subject to shocks with state dependent effect," Reliability Engineering and System Safety, Elsevier, vol. 251(C).
    10. Huang, Ding-Hsiang, 2024. "Network reliability of a stochastic flow network by wrapping linear programming models into a Monte-Carlo simulation," Reliability Engineering and System Safety, Elsevier, vol. 252(C).
    11. Abba, Badamasi & Wu, Jinbiao & Muhammad, Mustapha, 2024. "A robust multi-risk model and its reliability relevance: A Bayes study with Hamiltonian Monte Carlo methodology," Reliability Engineering and System Safety, Elsevier, vol. 250(C).
    12. Wang, Jingjing & Liu, Huimin & Lin, Tianran, 2023. "Optimal rearrangement and preventive maintenance policies for heterogeneous balanced systems with three failure modes," Reliability Engineering and System Safety, Elsevier, vol. 238(C).
    13. Fu, Jianmin & Li, Honghao & Chi, Yajuan & Zhen, Jia & Xu, Xiangfeng, 2021. "nSIL Evaluation and Sensitivity Study of Diverse Redundant Structure," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    14. Wu, Bei & Ding, Dong, 2022. "A gamma process based model for systems subject to multiple dependent competing failure processes under Markovian environments," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    15. Liu, Hengchang & Li, Bo & Yao, Fengming & Hu, Gexi & Xie, Lei, 2024. "Maintenance optimization of multi-unit balanced systems using deep reinforcement learning," Reliability Engineering and System Safety, Elsevier, vol. 244(C).
    16. Shao, Xiaoyan & Cai, Baoping & Gao, Lei & Zhang, Yanping & Yang, Chao & Gao, Chuntan, 2024. "Data-model-linked remaining useful life prediction method with small sample data: A case of subsea valve," Reliability Engineering and System Safety, Elsevier, vol. 250(C).
    17. Noureddine Asklou & Rachid Noureddine, 2020. "Effects of proof tests on the safety performance of safety-instrumented systems," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 34(3), pages 396-408.
    18. 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.
    19. Cai, Baoping & Li, Wenchao & Liu, Yiliu & Shao, Xiaoyan & Zhang, Yanping & Zhao, Yi & Liu, Zengkai & Ji, Renjie & Liu, Yonghong, 2021. "Modeling for evaluation of safety instrumented systems with heterogeneous components," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    20. Lu, Lixuan & Lewis, Gregory, 2008. "Configuration determination for k-out-of-n partially redundant systems," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1594-1604.
    21. Cheraghi, Morteza & Taghipour, Sharareh, 2024. "A mathematical optimization model for determining safety integrity levels in process facilities," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
    22. Srivastav, Himanshu & Barros, Anne & Lundteigen, Mary Ann, 2020. "Modelling framework for performance analysis of SIS subject to degradation due to proof tests," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
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