Integrated importance measure of component states based on loss of system performance

IEEE Transactions on Reliability

Volumn 61, Issue 1, 2012, Pages 192-202

  Si, Shubin ^a   Dui, Hongyan ^a   Zhao, Xibin ^b   Zhang, Shenggui ^a   Sun, Shudong ^a  

^a NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

^b Tsinghua University   (China)

Author keywords

Component state; integrated importance measure; multi state system; system performance; transition intensity

Indexed keywords

COMPONENT STATE; IMPORTANCE MEASURE; MULTI-STATE SYSTEM; SYSTEM PERFORMANCE; TRANSITION INTENSITY;

PROBABILITY DISTRIBUTIONS; TRANSPLANTS;

INTEGRATION;

EID: 84862821583     PISSN: 00189529     EISSN: None     Source Type: Journal    
DOI: 10.1109/TR.2011.2182394     Document Type: Article

References (32)

1. Z. W. Birnbaum, "On the importance of different components in a multi-component system," in In: Multi-Variate Analysis 2. New York: Academic Press, 1969, pp. 581-592.
2. A. Lisnianski and G. Levitin, Multi-State System Reliability: Assessment, Optimization and Applications. New York: World Scientific, 2003.
3. G. Levitin, The Universal Generating Function in Reliability Analysis and Optimization. London: Springer-Verlag, 2005.
4. B. Natvig, Multistate Systems Reliability Theory With Applications. New York: John Wiley & Sons, 2011.
5. E. El-Neweihi, F. Proschan, and J. Sethuraman, "Multistate coherent systems," Journal of Applied Probability, vol. 15, no. 4, pp. 675-688, 1978.
6. R. E. Barlow and A. S. Wu, "Coherent systems with multi-state components," Mathematics of Operations Research, vol. 3, no. 4, pp. 275-281, 1978.
7. W. S. Griffith, "Multi-state reliability models," Journal of Applied Probability, vol. 17, no. 3, pp. 735-744, 1980.
8. C. Kim and L. A. Baxter, "Reliability importance for continuum structure functions," Journal of Applied Probability, vol. 24, no. 3, pp. 779-785, 1987.
9. M. J. Armstrong, "Reliability-importance and dual failure-mode elements," IEEE Trans. Rel., vol. 46, no. 2, pp. 212-221, 1997.
10. S. Wu and L. Chan, "Performance utility-analysis of multi-state systems," IEEE Trans. Rel., vol. 52, no. 1, pp. 14-21, 2003.
11. J. E. Ramirez-Marquez and D. W. Coit, "Composite importance measures for multi-State systems with multi-state components," IEEE Trans. Rel., vol. 54, no. 3, pp. 517-529, 2005.
12. J. E. Ramirez-Marquez and D. W. Coit, "Multi-state component criticality analysis for reliability improvement in multi-state systems," Reliab. Eng. Syst. Saf., vol. 92, no. 12, pp. 1608-1619, 2007.
13. 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.
14. B. Natvig, "New light on measures of importance of system components," Scandinavian Journal of Statistics, vol. 12, no. 1, pp. 43-54, 1985.
15. 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.
16. B. Natvig, K. A. Eide, J. Gåsemyr, A. B. Huseby, and S. L. Isaksen, "Simulation based analysis and an application to an offshore oil and gas production system of the Natvig measures of component importance in repairable systems," Reliab. Eng. Syst. Saf., vol. 94, no. 10, pp. 1629-1638, 2009.
17. M. C. Cheok, G. W. Parry, and R. R. Sherry, "Use of importance measures in risk-informed regulatory applications," Reliab. Eng. Syst. Saf., vol. 60, no. 3, pp. 213-226, 1998.
18. E. Borgonovo and G. E. Apostolakis, "A new importance measure for risk-informed decision making," Reliab. Eng. Syst. Saf., vol. 72, no. 2, pp. 193-212, 2001.
19. M. J. Armstrong, "Joint reliability-importance of components," IEEE Trans. Rel., vol. 44, no. 3, pp. 408-412, 1995.
20. S. Wu, "Joint importance of multistate systems," Computers & Industrial Engineering, vol. 49, no. 1, pp. 63-75, 2005.
21. G. Levitin and A. Lisnianski, "Importance and sensitivity analysis of multi-state systems using the universal generating function," Reliab. Eng. Syst. Saf., vol. 65, no. 3, pp. 271-282, 1999.
22. E. Zio and L. Podofillini, "Monte-Carlo simulation analysis of the effects on different system performance levels on the importance on multi-state components," Reliab. Eng. Syst. Saf., vol. 82, no. 1, pp. 63-73, 2003.
23. G. Levitin, L. Podofillini, and E. Zio, "Generalized importance measures for multi-state elements based on performance level restrictions," Reliab. Eng. Syst. Saf., vol. 82, no. 3, pp. 287-298, 2003.
24. E. Zio, L. Podofillini, and G. Levitin, "Estimation of the importance measures of multi-state elements by Monte Carlo simulation," Reliab. Eng. Syst. Saf., vol. 86, no. 3, pp. 191-204, 2004.
25. G. Levitin, "A universal generating function approach for the analysis of multi-state systems with dependent elements," Reliab. Eng. Syst. Saf., vol. 84, no. 3, pp. 285-292, 2004.
26. E. Zio, M. Marella, and L. Podofillini, "Importance measures-based prioritization for improving the performance of multi-state systems: Application to the railway industry," Reliab. Eng. Syst. Saf., vol. 92, no. 10, pp. 1303-1314, 2007.
27. A. Shrestha, L. Xing, and D. W. Coit, "An efficient multistate multivalued decision diagram-based approach for multistate system sensitivity analysis," IEEE Trans. Rel., vol. 59, no. 3, pp. 581-592, 2010.
28. C. Li, X. Chen, X. Yi, and J. Tao, "Interval-valued reliability analysis of multi-state systems," IEEE Trans. Rel., vol. 60, no. 1, pp. 323-330, 2011.
29. O. Chryssaphinou, N. Limnios, and S. Malefaki, "Multi-state reliability systems under discrete time semi-Markovian hypothesis," IEEE Trans. Rel., vol. 60, no. 1, pp. 80-87, 2011.
30. K. S. Trivedi, Probability and Statistics With Reliability, Queuing, and Computer Science Applications. New York: John Wiley & Sons, 2001.
31. A. Lisnianski, "Extended block diagram method for a multi-state system reliability assessment," Reliab. Eng. Syst. Saf., vol. 92, no. 12, pp. 1601-1607, 2007.
32. S. Si, Z. Cai, S. Sun, and S. Zhang, "Integrated importance measures of multi-state systems under uncertainty," Computers & Industrial Engineering, vol. 59, no. 4, pp. 921-928, 2010.