IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v133y2015icp48-58.html
   My bibliography  Save this article

Markov analysis of redundant standby safety systems under periodic surveillance testing

Author

Listed:
  • Hellmich, Mario
  • Berg, Heinz-Peter

Abstract

In modern applications of probabilistic safety assessment (PSA), maintenance planning and changes to technical specifications play an important role, not least due to regulatory requirements. In particular, standby safety systems under periodic surveillance testing are at the center of this issue. Since traditional PSA techniques impose limitations when complex maintenance and repair strategies are to be taken explicitly into account, we introduce continuous time Markov models to discuss various strategies for organizing repair and testing of two-train standby safety systems, which have the potential to replace traditional system models based on fault tree techniques in PSA. Besides a conventional steady state analysis of these Markov models, we provide a general numerical method which allows the calculation of the probability of exceeding allowed outage times of equipment in Markov models of safety systems, and we apply it to the models introduced in the present paper.

Suggested Citation

  • Hellmich, Mario & Berg, Heinz-Peter, 2015. "Markov analysis of redundant standby safety systems under periodic surveillance testing," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 48-58.
  • Handle: RePEc:eee:reensy:v:133:y:2015:i:c:p:48-58
    DOI: 10.1016/j.ress.2014.08.007
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832014002002
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ress.2014.08.007?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. Liu, Yiliu & Rausand, Marvin, 2013. "Reliability effects of test strategies on safety-instrumented systems in different demand modes," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 235-243.
    2. Martorell, S. & Villamizar, M. & Martón, I. & Villanueva, J.F. & Carlos, S. & Sánchez, A.I., 2014. "Evaluation of risk impact of changes to surveillance requirements addressing model and parameter uncertainties," Reliability Engineering and System Safety, Elsevier, vol. 126(C), pages 153-165.
    3. Verlinden, Steven & Deconinck, Geert & Coupé, Bernard, 2012. "Hybrid reliability model for nuclear reactor safety system," Reliability Engineering and System Safety, Elsevier, vol. 101(C), pages 35-47.
    4. Cho, Sungwhan & Jiang, Jin, 2008. "Analysis of surveillance test interval by Markov process for SDS1 in CANDU nuclear power plants," Reliability Engineering and System Safety, Elsevier, vol. 93(1), pages 1-13.
    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. Levitin, Gregory & Jia, Heping & Ding, Yi & Song, Yonghua & Dai, Yuanshun, 2017. "Reliability of multi-state systems with free access to repairable standby elements," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 192-197.
    2. 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).
    3. Jia, Xiang & Chen, Hao & Cheng, Zhijun & Guo, Bo, 2016. "A comparison between two switching policies for two-unit standby system," Reliability Engineering and System Safety, Elsevier, vol. 148(C), pages 109-118.
    4. Son, Kwang Seop & Seong, Seung Hwan & Kang, Hyun Gook & Jang, Gwi Sook, 2020. "Development of state-based integrated dependability model of RPS in NPPs considering CCF and periodic testing effects at the early design phase," Reliability Engineering and System Safety, Elsevier, vol. 193(C).

    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. 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.
    2. 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.
    3. Marhavilas, P.K. & Koulouriotis, D.E., 2012. "A combined usage of stochastic and quantitative risk assessment methods in the worksites: Application on an electric power provider," Reliability Engineering and System Safety, Elsevier, vol. 97(1), pages 36-46.
    4. Bistouni, Fathollah & Jahanshahi, Mohsen, 2014. "Analyzing the reliability of shuffle-exchange networks using reliability block diagrams," Reliability Engineering and System Safety, Elsevier, vol. 132(C), pages 97-106.
    5. Babykina, Génia & Brînzei, Nicolae & Aubry, Jean-François & Deleuze, Gilles, 2016. "Modeling and simulation of a controlled steam generator in the context of dynamic reliability using a Stochastic Hybrid Automaton," Reliability Engineering and System Safety, Elsevier, vol. 152(C), pages 115-136.
    6. 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.
    7. 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).
    8. 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).
    9. Marhavilas, P.K. & Koulouriotis, D.E. & Spartalis, S.H., 2013. "Harmonic analysis of occupational-accident time-series as a part of the quantified risk evaluation in worksites: Application on electric power industry and construction sector," Reliability Engineering and System Safety, Elsevier, vol. 112(C), pages 8-25.
    10. Liang, Zhenglin & Parlikad, Ajith Kumar & Srinivasan, Rengarajan & Rasmekomen, Nipat, 2017. "On fault propagation in deterioration of multi-component systems," Reliability Engineering and System Safety, Elsevier, vol. 162(C), pages 72-80.
    11. Martorell, P. & Martón, I. & Sánchez, A.I. & Martorell, S. & Sanchez-Saez, F. & Saiz, M., 2018. "Evaluation of risk impact of completion time changes combining PSA and DSA model insight and human reliability analysis," Reliability Engineering and System Safety, Elsevier, vol. 178(C), pages 97-107.
    12. Borysiewicz, Mieczysław & Kowal, Karol & Potempski, Sławomir, 2015. "An application of the value tree analysis methodology within the integrated risk informed decision making for the nuclear facilities," Reliability Engineering and System Safety, Elsevier, vol. 139(C), pages 113-119.
    13. Rachid Sal & Rachid Nait-Said & Mouloud Bourareche, 2017. "Dealing with uncertainty in effect analysis of test strategies on safety instrumented system performance," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 1945-1958, November.
    14. 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).
    15. 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.
    16. Martón, I. & Sánchez, A.I. & Martorell, S., 2015. "Ageing PSA incorporating effectiveness of maintenance and testing," Reliability Engineering and System Safety, Elsevier, vol. 139(C), pages 131-140.
    17. Yan, Rundong & Dunnett, Sarah & Andrews, John, 2023. "A Petri net model-based resilience analysis of nuclear power plants under the threat of natural hazards," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    18. Liu, Yiliu, 2014. "Optimal staggered testing strategies for heterogeneously redundant safety systems," Reliability Engineering and System Safety, Elsevier, vol. 126(C), pages 65-71.
    19. 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.
    20. Chuan Wang & Jun Gou & Yingcheng Tian & Hao Jin & Chao Yu & Yupeng Liu & Jiajun Ma & Yong Xia, 2022. "Reliability and availability evaluation of subsea high integrity pressure protection system using stochastic Petri net," Journal of Risk and Reliability, , vol. 236(3), pages 508-521, June.

    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:48-58. 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.