IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v133y2015icp212-222.html
   My bibliography  Save this article

Switching Markov chains for a holistic modeling of SIS unavailability

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832014002154
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ress.2014.09.005?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Rajagopal, 2014. "The Human Factors," Palgrave Macmillan Books, in: Architecting Enterprise, chapter 9, pages 225-249, Palgrave Macmillan.
    2. Torres-Echeverría, A.C. & Martorell, S. & Thompson, H.A., 2012. "Multi-objective optimization of design and testing of safety instrumented systems with MooN voting architectures using a genetic algorithm," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 45-60.
    3. Torres-Echeverría, A.C. & Martorell, S. & Thompson, H.A., 2009. "Design optimization of a safety-instrumented system based on RAMS+C addressing IEC 61508 requirements and diverse redundancy," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 162-179.
    4. 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.
    5. Guo, Haitao & Yang, Xianhui, 2008. "Automatic creation of Markov models for reliability assessment of safety instrumented systems," Reliability Engineering and System Safety, Elsevier, vol. 93(6), pages 829-837.
    6. 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.
    7. Torres-Echeverría, A.C. & Martorell, S. & Thompson, H.A., 2011. "Modeling safety instrumented systems with MooN voting architectures addressing system reconfiguration for testing," Reliability Engineering and System Safety, Elsevier, vol. 96(5), pages 545-563.
    8. Brissaud, Florent & Barros, Anne & Bérenguer, Christophe & Charpentier, Dominique, 2011. "Reliability analysis for new technology-based transmitters," Reliability Engineering and System Safety, Elsevier, vol. 96(2), pages 299-313.
    9. 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.
    10. 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.
    11. Rahimi, Maryam & Rausand, Marvin, 2013. "Monitoring human and organizational factors influencing common-cause failures of safety-instrumented system during the operational phase," Reliability Engineering and System Safety, Elsevier, vol. 120(C), pages 10-17.
    12. 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.
    13. Oliveira, Luiz Fernando & Abramovitch, Rafael Nelson, 2010. "Extension of ISA TR84.00.02 PFD equations to KooN architectures," Reliability Engineering and System Safety, Elsevier, vol. 95(7), pages 707-715.
    14. Vaurio, Jussi K., 2007. "Consistent mapping of common cause failure rates and alpha factors," Reliability Engineering and System Safety, Elsevier, vol. 92(5), pages 628-645.
    15. 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.
    16. Xu, Ming & Chen, Tao & Yang, Xianhui, 2012. "The effect of parameter uncertainty on achieved safety integrity of safety system," Reliability Engineering and System Safety, Elsevier, vol. 99(C), pages 15-23.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhang, Aibo & Hao, Songhua & Li, Peng & Xie, Min & Liu, Yiliu, 2022. "Performance modeling for condition-based activation of the redundant safety system subject to harmful tests," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    2. 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.
    3. 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.
    4. 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).
    5. 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).
    6. Gabriel, Angelito & Ozansoy, Cagil & Shi, Juan, 2018. "Developments in SIL determination and calculation," Reliability Engineering and System Safety, Elsevier, vol. 177(C), pages 148-161.
    7. 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).
    8. 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).
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Gabriel, Angelito & Ozansoy, Cagil & Shi, Juan, 2018. "Developments in SIL determination and calculation," Reliability Engineering and System Safety, Elsevier, vol. 177(C), pages 148-161.
    3. Meng, Huixing & Kloul, Leïla & Rauzy, Antoine, 2018. "Modeling patterns for reliability assessment of safety instrumented systems," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 111-123.
    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. Torres-Echeverría, A.C. & Martorell, S. & Thompson, H.A., 2011. "Modeling safety instrumented systems with MooN voting architectures addressing system reconfiguration for testing," Reliability Engineering and System Safety, Elsevier, vol. 96(5), pages 545-563.
    6. 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.
    7. Wu, Shengnan & Zhang, Laibin & Zheng, Wenpei & Liu, Yiliu & Lundteigen, Mary Ann, 2019. "Reliability modeling of subsea SISs partial testing subject to delayed restoration," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    8. Lijie, Chen & Tao, Tang & Xianqiong, Zhao & Schnieder, Eckehard, 2012. "Verification of the safety communication protocol in train control system using colored Petri net," Reliability Engineering and System Safety, Elsevier, vol. 100(C), pages 8-18.
    9. Qi, Meng & Kan, Yufeng & Li, Xun & Wang, Xiaoying & Zhao, Dongfeng & Moon, Il, 2020. "Spurious activation and operational integrity evaluation of redundant safety instrumented systems," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    10. Min Zhang & Zhijian Zhang & Ali Mosleh & Sijuan Chen, 2017. "Common cause failure model updating for risk monitoring in nuclear power plants based on alpha factor model," Journal of Risk and Reliability, , vol. 231(3), pages 209-220, June.
    11. Cui, Lin & Shu, Yidan & Wang, Zhaohui & Zhao, Jinsong & Qiu, Tong & Sun, Wenyong & Wei, Zhenqiang, 2012. "HASILT: An intelligent software platform for HAZOP, LOPA, SRS and SIL verification," Reliability Engineering and System Safety, Elsevier, vol. 108(C), pages 56-64.
    12. 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.
    13. Torres-Echeverría, A.C. & Martorell, S. & Thompson, H.A., 2012. "Multi-objective optimization of design and testing of safety instrumented systems with MooN voting architectures using a genetic algorithm," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 45-60.
    14. 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).
    15. Longhi, Antonio Eduardo Bier & Pessoa, Artur Alves & Garcia, Pauli Adriano de Almada, 2015. "Multiobjective optimization of strategies for operation and testing of low-demand safety instrumented systems using a genetic algorithm and fault trees," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 525-538.
    16. Ding, Long & Wang, Hong & Kang, Kai & Wang, Kai, 2014. "A novel method for SIL verification based on system degradation using reliability block diagram," Reliability Engineering and System Safety, Elsevier, vol. 132(C), pages 36-45.
    17. Chuan Wang & Yupeng Liu & Wen Hou & Chao Yu & Guorong Wang & Yuyan Zheng, 2021. "Reliability and availability modeling of Subsea Autonomous High Integrity Pressure Protection System with partial stroke test by Dynamic Bayesian," Journal of Risk and Reliability, , vol. 235(2), pages 268-281, April.
    18. 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.
    19. Hokstad, Per, 2014. "Demand rate and risk reduction for safety instrumented systems," Reliability Engineering and System Safety, Elsevier, vol. 127(C), pages 12-20.
    20. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:reensy:v:133:y:2015:i:c:p:212-222. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/reliability-engineering-and-system-safety .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.