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Mathematical Problems in Engineering
Volume 2018, Article ID 8534065, 10 pages
https://doi.org/10.1155/2018/8534065
Research Article

Dynamic Importance Analysis of Components with Known Failure Contribution of Complex Systems

School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an, China

Correspondence should be addressed to Yingjie Zhang; nc.ude.utjx@gnahzjy

Received 28 December 2017; Revised 1 March 2018; Accepted 20 March 2018; Published 24 April 2018

Academic Editor: Alessandro Lo Schiavo

Copyright © 2018 Yangfan Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. Si, H. Dui, X. Zhao, S. Zhang, and S. Sun, “Integrated importance measure of component states based on loss of system performance,” IEEE Transactions on Reliability, vol. 61, no. 1, pp. 192–202, 2012. View at Publisher · View at Google Scholar · View at Scopus
  2. Y. Watanabe, T. Oikawa, and K. Muramatsu, “Development of the DQFM method to consider the effect of correlation of component failures in seismic PSA of nuclear power plant,” Reliability Engineering & System Safety, vol. 79, no. 3, pp. 265–279, 2003. View at Publisher · View at Google Scholar · View at Scopus
  3. B. Nyström, L. Austrin, N. Ankarbäck, and E. Nilsson, “Fault tree analysis of an aircraft electric power supply system to electrical actuators,” in Proceedings of the 2006 9th International Conference on Probabilistic Methods Applied to Power Systems, PMAPS, Stockholm, Sweden, June 2006. View at Publisher · View at Google Scholar · View at Scopus
  4. R. E. Barlow and F. Proschan, “Importance of system components and fault tree events,” Stochastic Processes and Their Applications, vol. 3, pp. 153–173, 1975. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  5. E. Zio, “Reliability engineering: old problems and new challenges,” Reliability Engineering & System Safety, vol. 94, no. 2, pp. 125–141, 2009. View at Publisher · View at Google Scholar · View at Scopus
  6. R. E. Barlow and A. S. Wu, “Coherent systems with multistate components,” Mathematics of Operations Research, vol. 3, no. 4, pp. 275–281, 1978. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. A. Lisnianski, “Application of extended universal generating function technique to dynamic reliability analysis of a multi-state system,” in Proceedings of the 2nd IEEE International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO '16), pp. 1–10, Beer Sheva, Israel, February 2016. View at Publisher · View at Google Scholar
  8. A. Lisnianski and G. Levitin, Multi-State System Reliability: Assessment, Optimization and Applications, vol. 6 of Series on Quality, Reliability and Engineering Statistics, World Scientific Publishers, Singapore, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  9. M. Nourelfath and D. Ait-Kadi, “Optimization of series-parallel multi-state systems under maintenance policies,” Reliability Engineering & System Safety, vol. 92, no. 12, pp. 1620–1626, 2007. View at Publisher · View at Google Scholar · View at Scopus
  10. M. Nourelfath and Y. Dutuit, “A combined approach to solve the redundancy optimization problem for multi-state systems under repair policies,” Reliability Engineering & System Safety, vol. 86, no. 3, pp. 205–213, 2004. View at Publisher · View at Google Scholar · View at Scopus
  11. J. D. Murchland, “Fundamental concepts and relations for reliability analysis of multi-state systems,” Reliability and fault tree analysis (Conf., Univ. CALifornia, Berkeley, CALif., 1974), Soc. Indust. Appl. Math., Philadelphia, Pa., pp. 581–618, 1975. View at Google Scholar · View at MathSciNet
  12. J. C. Hudson and K. C. Kapur, “Modules in Coherent Multistate Systems,” IEEE Transactions on Reliability, vol. R-32, no. 2, pp. 183–185, 1983. View at Publisher · View at Google Scholar · View at Scopus
  13. Z. Birnbaum, On the Importance of Different Components in a Multi-Component System, Academic Press, New York, NY, USA, 1969. View at MathSciNet
  14. D. A. Butler, “A complete importance ranking for components of binary coherent systems, with extensions to multistate systems,” Naval Research Logistics Quarterly, vol. 26, no. 4, pp. 565–578, 1979. View at Publisher · View at Google Scholar · View at MathSciNet
  15. W. S. Griffith, “Multistate reliability models,” Journal of Applied Probability, vol. 17, no. 3, pp. 735–744, 1980. View at Publisher · View at Google Scholar · View at MathSciNet
  16. E. Zaitseva and V. Levashenko, “Multiple-valued logic mathematical approaches for multi-state system reliability analysis,” Journal of Applied Logic, vol. 11, no. 3, pp. 350–362, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. S. M. Wu, “Joint importance of multistate systems,” Computers and Industrial Engineering, vol. 49, no. 1, pp. 63–75, 2005. View at Publisher · View at Google Scholar · View at Scopus
  18. P. Wei, Z. Lu, and J. Song, “Variable importance analysis: A comprehensive review,” Reliability Engineering and System Safety, vol. 142, pp. 399–432, 2015. View at Google Scholar
  19. F. Cadini, F. Santos, and E. Zio, “An improved adaptive kriging-based importance technique for sampling multiple failure regions of low probability,” Reliability Engineering & System Safety, vol. 131, pp. 109–117, 2014. View at Publisher · View at Google Scholar · View at Scopus
  20. D. Zhang, Y. Zhang, M. Yu, and Y. Chen, “Reliability evaluation and component importance measure for manufacturing systems based on failure losses,” Journal of Intelligent Manufacturing, vol. 28, no. 8, pp. 1859–1869, 2017. View at Publisher · View at Google Scholar · View at Scopus
  21. D. Zhang, Y. Zhang, M. Yu, and Y. Chen, “Reliability Defects Identification of Serial Production Systems: Application to a Piston Production Line,” Arabian Journal for Science and Engineering, vol. 39, no. 12, pp. 9113–9125, 2014. View at Publisher · View at Google Scholar · View at Scopus
  22. H. Dui, S. Si, L. Cui, Z. Cai, and S. Sun, “Component importance for multi-state system lifetimes with renewal functions,” IEEE Transactions on Reliability, vol. 63, no. 1, pp. 105–117, 2014. View at Publisher · View at Google Scholar · View at Scopus
  23. G. Levitin, L. Podofillini, and E. Zio, “Generalised importance measures for multi-state elements based on performance level restrictions,” Reliability Engineering & System Safety, vol. 82, no. 3, pp. 287–298, 2003. View at Publisher · View at Google Scholar · View at Scopus
  24. M. Kvassay, E. Zaitseva, and V. Levashenko, “Importance analysis of multi-state systems based on tools of logical differential calculus,” Reliability Engineering & System Safety, vol. 165, pp. 302–316, 2017. View at Publisher · View at Google Scholar · View at Scopus
  25. X. Y. Zhu, M. Boushaba, D. W. Coit, and A. Benyahia, “Reliability and importance measures for m-consecutive-k, l-out-of-n system with non-homogeneous Markov-dependent components,” Reliability Engineering and System Safety, vol. 167, pp. 1–9, 2017. View at Publisher · View at Google Scholar · View at Scopus
  26. H. Dui, S. Si, and R. C. M. Yam, “Importance measures for optimal structure in linear consecutive-k-out-of-n systems,” Reliability Engineering and System Safety, vol. 169, 2018. View at Google Scholar
  27. J. Bi, “A review of statistical methods for determination of relative importance of correlated predictors and identification of drivers of consumer liking,” Journal of Sensory Studies, vol. 27, no. 2, pp. 87–101, 2012. View at Publisher · View at Google Scholar · View at Scopus
  28. W. Kuo and X. Zhu, “Importance Measures in Reliability, Risk, and Optimization: Principles and Applications,” Importance Measures in Reliability, Risk, and Optimization: Principles and Applications, 2012. View at Publisher · View at Google Scholar · View at Scopus
  29. B. Natvig, “On the reduction in remaining system lifetime due to the failure of a specific component,” Journal of Applied Probability, vol. 19, no. 3, pp. 642–652, 1982. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  30. B. Natvig and J. Gåsemyr, “New results on the Barlow-Proschan and Natvig measures of component importance in nonrepairable and repairable systems,” Methodology and Computing in Applied Probability, vol. 11, no. 4, pp. 603–620, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  31. Y. Z. Zhang, J. T. Liu, G. X. Shen, X. Y. Qi, and Z. Long, “Reliability modeling of CNC machine tools system based on failure correlation analysis,” Journal of Jilin University, vol. 47, no. 1, pp. 169–173, 2017. View at Google Scholar