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Marginal and joint reliability importance based on survival signature

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  • Eryilmaz, Serkan
  • Coolen, Frank P.A.
  • Coolen-Maturi, Tahani

Abstract

Marginal and joint reliability importance measures have been found to be useful in optimal system design. Various importance measures have been defined and studied for a variety of system models. The results in the literature are mostly based on the assumption that the components within the system are independent or identical. The present paper is concerned with computation of marginal and joint reliability importance for a coherent system that consists of multiple types of dependent components. In particular, by utilizing the concept of survival signature, expressions for marginal and joint reliability importance measures are presented. We also introduce reliability importance for a system of which only the survival signature is known, which therefore can be regarded to be a black box system.

Suggested Citation

  • Eryilmaz, Serkan & Coolen, Frank P.A. & Coolen-Maturi, Tahani, 2018. "Marginal and joint reliability importance based on survival signature," Reliability Engineering and System Safety, Elsevier, vol. 172(C), pages 118-128.
    • Handle: RePEc:eee:reensy:v:172:y:2018:i:c:p:118-128
    DOI: 10.1016/j.ress.2017.12.002
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    References listed on IDEAS

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    1. Hong, J. S. & Koo, H. Y. & Lie, C. H., 2002. "Joint reliability importance of k-out-of-n systems," European Journal of Operational Research, Elsevier, vol. 142(3), pages 539-547, November.
    2. Patelli, Edoardo & Feng, Geng & Coolen, Frank P.A. & Coolen-Maturi, Tahani, 2017. "Simulation methods for system reliability using the survival signature," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 327-337.
    3. Reed, Sean, 2017. "An efficient algorithm for exact computation of system and survival signatures using binary decision diagrams," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 257-267.
    4. Zhai, Qingqing & Yang, Jun & Xie, Min & Zhao, Yu, 2014. "Generalized moment-independent importance measures based on Minkowski distance," European Journal of Operational Research, Elsevier, vol. 239(2), pages 449-455.
    5. Feng, Geng & Patelli, Edoardo & Beer, Michael & Coolen, Frank P.A., 2016. "Imprecise system reliability and component importance based on survival signature," Reliability Engineering and System Safety, Elsevier, vol. 150(C), pages 116-125.
    6. Serkan Eryilmaz, 2017. "The concept of weak exchangeability and its applications," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 80(3), pages 259-271, April.
    7. Gao, Xueli & Cui, Lirong & Li, Jinlin, 2007. "Analysis for joint importance of components in a coherent system," European Journal of Operational Research, Elsevier, vol. 182(1), pages 282-299, October.
    8. Kvassay, Miroslav & Zaitseva, Elena & Levashenko, Vitaly, 2017. "Importance analysis of multi-state systems based on tools of logical differential calculus," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 302-316.
    9. Wu, Shaomin & Coolen, Frank P.A., 2013. "A cost-based importance measure for system components: An extension of the Birnbaum importance," European Journal of Operational Research, Elsevier, vol. 225(1), pages 189-195.
    10. Borgonovo, Emanuele & Aliee, Hananeh & Glaß, Michael & Teich, Jürgen, 2016. "A new time-independent reliability importance measure," European Journal of Operational Research, Elsevier, vol. 254(2), pages 427-442.
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    Cited by:

    1. Huang, Xianzhen & Coolen, Frank P.A. & Coolen-Maturi, Tahani, 2019. "A heuristic survival signature based approach for reliability-redundancy allocation," Reliability Engineering and System Safety, Elsevier, vol. 185(C), pages 511-517.
    2. Huang, Xianzhen & Jin, Sujun & He, Xuefeng & He, David, 2019. "Reliability analysis of coherent systems subject to internal failures and external shocks," Reliability Engineering and System Safety, Elsevier, vol. 181(C), pages 75-83.
    3. Hashemi, M. & Asadi, M. & Zarezadeh, S., 2020. "Optimal maintenance policies for coherent systems with multi-type components," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    4. Tavangar, Mahdi & Hashemi, Marzieh, 2022. "Reliability and maintenance analysis of coherent systems subject to aging and environmental shocks," Reliability Engineering and System Safety, Elsevier, vol. 218(PB).
    5. Li, Yao & Coolen, Frank P.A. & Zhu, Caichao & Tan, Jianjun, 2020. "Reliability assessment of the hydraulic system of wind turbines based on load-sharing using survival signature," Renewable Energy, Elsevier, vol. 153(C), pages 766-776.
    6. Hindolo George-Williams & Geng Feng & Frank PA Coolen & Michael Beer & Edoardo Patelli, 2019. "Extending the survival signature paradigm to complex systems with non-repairable dependent failures," Journal of Risk and Reliability, , vol. 233(4), pages 505-519, August.
    7. Qin, Jinlei & Coolen, Frank P.A., 2022. "Survival signature for reliability evaluation of a multi-state system with multi-state components," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    8. Reed, Sean & Löfstrand, Magnus & Andrews, John, 2019. "An efficient algorithm for computing exact system and survival signatures of K-terminal network reliability," Reliability Engineering and System Safety, Elsevier, vol. 185(C), pages 429-439.
    9. He Yi & Narayanaswamy Balakrishnan & Xiang Li, 2023. "Multi-State Joint Survival Signature for Multi-State Systems with Shared Multi-State Components," Methodology and Computing in Applied Probability, Springer, vol. 25(1), pages 1-18, March.
    10. M. Salehi & Z. Shishebor & M. Asadi, 2019. "On the reliability modeling of weighted k-out-of-n systems with randomly chosen components," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(5), pages 589-605, July.
    11. Coolen-Maturi, Tahani & Coolen, Frank P.A. & Balakrishnan, Narayanaswamy, 2021. "The joint survival signature of coherent systems with shared components," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    12. Huang, Xianzhen & Aslett, Louis J.M. & Coolen, Frank P.A., 2019. "Reliability analysis of general phased mission systems with a new survival signature," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 416-422.
    13. Yi, He & Cui, Lirong & Balakrishnan, Narayanaswamy, 2021. "Computation of survival signatures for multi-state consecutive-k systems," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
    14. Mi, Jinhua & Beer, Michael & Li, Yan-Feng & Broggi, Matteo & Cheng, Yuhua, 2020. "Reliability and importance analysis of uncertain system with common cause failures based on survival signature," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    15. Liu, Mingli & Wang, Dan & Si, Shubin, 2023. "Mixed reliability importance-based solving algorithm design for the cost-constrained reliability optimization model," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    16. Ma, Chengye & Du, Yongjun & Zhang, Yuchun & Cai, Zhiqiang, 2022. "Marginal and joint failure importance for K-terminal network edges under counting process," Reliability Engineering and System Safety, Elsevier, vol. 223(C).

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