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Component Importance-Driven Reliability Optimization for Linear Consecutive k out of n Systems

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Stochastic Models in Reliability, Network Security and System Safety (JHC80 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1102))

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Abstract

Importance measures in reliability systems are used to identify weak single component or multiple components in contributing to proper functioning of the system. They can be used to analyze the structure optimization with component reliabilities for reconfigurable systems, and solve the system optimization problem for a kind of component assignment problem for the consecutive k out of n systems. In reconfigurable systems, the system structure can be changed by reordering the components. The optimal structure can be determined for any specific combination of system components. For the change of the reliability of specific components, the importance of the corresponding components and the optimal system structure can be found. The relationships between reliability allocation and the importance are studied by building the reliability of the optimal system structure as a function of component reliability. At last, a numerical example is used to demonstrate the proposed method.

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References

  1. Cui, L., Li, H.: Analytical method for reliability and MTTF assessment of coherent systems with dependent components. Reliab. Eng. Syst. Saf. 92(3), 300–307 (2007)

    Article  MathSciNet  Google Scholar 

  2. Cui, L., Xu, Y., Zhao, X.: Developments and applications of the finite Markov chain imbedding approach in reliability. IEEE Trans. Reliab. 59(4), 685–690 (2010)

    Article  Google Scholar 

  3. Zhao, X., Cui, L.: On the accelerated scan finite Markov chain imbedding approach. IEEE Trans. Reliab. 58(2), 383–388 (2009)

    Article  Google Scholar 

  4. Levitin, G., Podofillini, L., Zio, E.: Generalized importance measures for multi-state elements based on performance level restrictions. Reliab. Eng. Syst. Saf. 82(3), 287–298 (2003)

    Article  Google Scholar 

  5. Dui, H., Li, S., Xing, L., Liu, H.: System performance-based joint importance analysis guided maintenance for repairable systems. Reliab. Eng. Syst. Saf. 186, 162–175 (2019)

    Article  Google Scholar 

  6. Dui, H., Si, S., Yam, R.C.M.: A cost-based integrated importance measure of system components for preventive maintenance. Reliab. Eng. Syst. Saf. 168, 98–104 (2017)

    Article  Google Scholar 

  7. Dui, H., Si, S., Wu, S., Yam, R.C.M.: An importance measure for multistate systems with external factors. Reliab. Eng. Syst. Saf. 167, 49–57 (2017)

    Article  Google Scholar 

  8. Dui, H., Chen, L., Wu, S.: Generalized integrated importance measure for system performance evaluation: application to a propeller plane system. Eksploatacja i Niezawodnosc-Maintenance and Reliability 19(2), 279–286 (2017)

    Article  Google Scholar 

  9. Dui, H., Si, S., Zuo, M., Sun, S.: Semi-Markov process-based integrated importance measure for multi-state systems. IEEE Trans. Reliab. 64(2), 754–765 (2015)

    Article  Google Scholar 

  10. Zio, E., Podofillini, L.: Monte-Carlo simulation analysis of the effects on different system performance levels on the importance on multi-state components. Reliab. Eng. Syst. Saf. 82(1), 63–73 (2003)

    Article  Google Scholar 

  11. Kuo, W., Zhu, X.: Importance Measures in Reliability, Risk, and Optimization: Principles and Applications. Wiley, UK (2012)

    Book  Google Scholar 

  12. Kuo, W., Zhu, X.: Some recent advances on importance measures in reliability. IEEE Trans. Reliab. 61(2), 344–360 (2012)

    Article  Google Scholar 

  13. Wu, S., Coolen, F.P.A.: A cost-based importance measure for system components: an extension of the Birnbaum importance. Eur. J. Oper. Res. 225(1), 189–195 (2013)

    Article  MathSciNet  Google Scholar 

  14. Papastavridis, S.: The most important component in a consecutive-k-out-of-n: F system. IEEE Trans. Reliab. 36(2), 266–268 (1987)

    Article  Google Scholar 

  15. Lin, F.H., Kuo, W., Hwang, F.K.: Structure importance of consecutive-k-out-of-n systems. Oper. Res. Lett. 25(2), 101–107 (1999)

    Article  MathSciNet  Google Scholar 

  16. Zuo, M.J.: Reliability and component importance of a consecutive-k-out-of-n system. Microelectron. Reliab. 33(2), 243–258 (1993)

    Article  Google Scholar 

  17. Kuo, W., Zhang, W.X., Zuo, M.: A consecutive-k-out-of-n: G system: the mirror image of a consecutive-k-out-of-n: F system. IEEE Trans. Reliab. 39(2), 244–253 (1990)

    Article  Google Scholar 

  18. Dui, H., Si, S., Yam, R.C.M.: Importance measures for optimal structure in linear consecutive-k-out-of-n systems. Reliab. Eng. Syst. Saf. 169, 339–350 (2018)

    Article  Google Scholar 

  19. Si, S., Levitin, G., Dui, H., Sun, S.: Importance analysis for reconfigurable systems. Reliab. Eng. Syst. Saf. 126, 72–80 (2014)

    Article  Google Scholar 

  20. Zuo, M.J., Kuo, W.: Design and performance analysis of consecutive-k-out-of-n structure. Naval Res. Logistics 37, 203–230 (1990)

    Article  MathSciNet  Google Scholar 

  21. Levitin, G.: Optimal allocation of multistate elements in a linear consecutively-connected system. IEEE Trans. Reliab. 52, 192–199 (2003)

    Article  Google Scholar 

  22. Cui, L.R., Hawkes, A.G.: A note on the proof for the optimal consecutive-k-out-of-n: G line for n ≦ 2k. J. Stat. Plan. Infer. 138, 1516–1520 (2008)

    Article  Google Scholar 

  23. Ramirez-Marquez, J.E., Coit, D.W.: Composite importance measures for multi-state systems with multi-state components. IEEE Trans. Reliab. 54(3), 517–529 (2005)

    Article  Google Scholar 

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Acknowledgments

The authors gratefully acknowledge the financial supports for this research from the National Natural Science Foundation of China (Nos. 71771186, 71501173).

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Correspondence to Shubin Si .

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Dui, H., Si, S. (2019). Component Importance-Driven Reliability Optimization for Linear Consecutive k out of n Systems. In: Li, QL., Wang, J., Yu, HB. (eds) Stochastic Models in Reliability, Network Security and System Safety. JHC80 2019. Communications in Computer and Information Science, vol 1102. Springer, Singapore. https://doi.org/10.1007/978-981-15-0864-6_13

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  • DOI: https://doi.org/10.1007/978-981-15-0864-6_13

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  • Online ISBN: 978-981-15-0864-6

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