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Simulation based analysis and an application to an offshore oil and gas production system of the Natvig measures of component importance in repairable systems

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  • Natvig, Bent
  • Eide, Kristina A.
  • GÃ¥semyr, Jørund
  • Huseby, Arne B.
  • Isaksen, Stefan L.

Abstract

In the present paper the Natvig measures of component importance for repairable systems, and its extended version are analyzed for two three-component systems and a bridge system. The measures are also applied to an offshore oil and gas production system. According to the extended version of the Natvig measure a component is important if both by failing it strongly reduces the expected system uptime and by being repaired it strongly reduces the expected system downtime. The results include a study of how different distributions affect the ranking of the components. All numerical results are computed using discrete event simulation. In a companion paper [Huseby AB, Eide KA, Isaksen SL, Natvig B, GÃ¥semyr, J. Advanced discrete event simulation methods with application to importance measure estimation. 2009, submitted for publication] the advanced simulation methods needed in these calculations are described.

Suggested Citation

  • Natvig, Bent & Eide, Kristina A. & GÃ¥semyr, Jørund & Huseby, Arne B. & Isaksen, Stefan L., 2009. "Simulation based analysis and an application to an offshore oil and gas production system of the Natvig measures of component importance in repairable systems," Reliability Engineering and System Safety, Elsevier, vol. 94(10), pages 1629-1638.
    • Handle: RePEc:eee:reensy:v:94:y:2009:i:10:p:1629-1638
    DOI: 10.1016/j.ress.2009.04.002
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    References listed on IDEAS

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    1. Barlow, Richard E. & Proschan, Frank, 1975. "Importance of system components and fault tree events," Stochastic Processes and their Applications, Elsevier, vol. 3(2), pages 153-173, April.
    2. Natvig, Bent, 1979. "A suggestion of a new measure of importance of system components," Stochastic Processes and their Applications, Elsevier, vol. 9(3), pages 319-330, December.
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    Cited by:

    1. Skutlaberg, Kristina & Huseby, Arne Bang & Natvig, Bent, 2018. "Partial monitoring of multistate systems," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 434-452.
    2. Dui, Hongyan & Si, Shubin & Yam, Richard C.M., 2017. "A cost-based integrated importance measure of system components for preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 98-104.
    3. Dui, Hongyan & Si, Shubin & Yam, Richard C.M., 2018. "Importance measures for optimal structure in linear consecutive-k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 339-350.
    4. Dui, Hongyan & Li, Shumin & Xing, Liudong & Liu, Hanlin, 2019. "System performance-based joint importance analysis guided maintenance for repairable systems," Reliability Engineering and System Safety, Elsevier, vol. 186(C), pages 162-175.
    5. Huseby, Arne B. & Natvig, Bent, 2013. "Discrete event simulation methods applied to advanced importance measures of repairable components in multistate network flow systems," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 186-198.
    6. Si, Shubin & Levitin, Gregory & Dui, Hongyan & Sun, Shudong, 2013. "Component state-based integrated importance measure for multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 116(C), pages 75-83.
    7. Bent Natvig, 2011. "Measures of Component Importance in Nonrepairable and Repairable Multistate Strongly Coherent Systems," Methodology and Computing in Applied Probability, Springer, vol. 13(3), pages 523-547, September.
    8. Yadong Zhang & Chao Zhang & Shaoping Wang & Rentong Chen & Mileta M. Tomovic, 2022. "Performance Degradation Based on Importance Change and Application in Dissimilar Redundancy Actuation System," Mathematics, MDPI, vol. 10(5), pages 1-15, March.
    9. Xianzhen Huang & Frank PA Coolen, 2018. "Reliability sensitivity analysis of coherent systems based on survival signature," Journal of Risk and Reliability, , vol. 232(6), pages 627-634, December.
    10. Natvig, Bent & Huseby, Arne B. & Reistadbakk, Mads O., 2011. "Measures of component importance in repairable multistate systems—a numerical study," Reliability Engineering and System Safety, Elsevier, vol. 96(12), pages 1680-1690.
    11. Dui, Hongyan & Liu, Meng & Song, Jiaying & Wu, Shaomin, 2023. "Importance measure-based resilience management: Review, methodology and perspectives on maintenance," Reliability Engineering and System Safety, Elsevier, vol. 237(C).

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