Abstract
Quantitative information about the role that the components of a system play with respect to its risk, safety, reliability and availability is of great practical aid to system designers and operators. Indeed, the identification of which components mostly contribute to the system failure behavior allows one to trace system design bottlenecks and provides guidelines for effective operation and maintenance actions for system performance improvement.
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References
Apostolakis GE (1990) The concept of probability in safety assessments of technological systems. Science 250:1359–1364
Armstrong MJ (1995) Joint reliability-importance of elements. IEEE Trans Reliab 44(3):408–412
Armstrong MJ (1997) Reliability-importance and dual failure-mode elements. IEEE Trans Reliab 46(2):212–221
Aven T (1993) On performance measures for multistate monotone systems. Reliab Eng Syst Saf 41:259–266
Aven T, Østebø R (1986) Two new importance measures for a flow network system. Reliab Eng 14:75–80
Baraldi P, Zio E, Compare M (2008) Importance measures in presence of uncertainties. In: Proceedings of SSARS 2008, Gdańsk/Sopot, Poland
Birnbaum LW (1969) On the importance of different elements in a multi-element system. Multivariate analysis, vol 2. Academic Press, New York
Borgonovo E (2006) Measuring uncertainty importance: investigation and comparison of alternative approaches. Risk Anal 26(5):1349–1361
Borgonovo E, Apostolakis GE (2001) A new importance measure for risk-informed decision making. Reliab Eng Syst Saf 72:193–212
Cheok MC, Parry GW, Sherry RR (1998) Use of importance measures in risk informed applications. Reliab Eng Syst Saf 60:213–226
Elsayed EA (1996) Reliability engineering. Addison Wesley Longman, England
Fussell JB (1975) How to calculate system reliability and safety characteristics. IEEE Trans Reliab R-24(3):169–174
Griffith WS (1980) Multistate reliability models. J Appl Prob 17:735–744
Hoare CA (1962) Quicksort. Comput J 5:10–15
Hong JS, Lie CH (1993) Joint reliability-importance of two edges in an undirected network. IEEE Trans Reliab 42(1):17–23
Høyland A, Rausand M (1994) System reliability theory: models and statistical methods. Wiley, NJ
Kim C, Baxter LA (1987) Reliability importance for continuum structure functions. J Appl Prob 24:779–785
Levitin G, Lisnianski A (1999) Importance and sensitivity analysis of multi-state systems using the universal generating function method. Reliab Eng Syst Saf 65:271–282
Marseguerra M, Zio E, Podofillini L (2005) First-order sensitivity analysis of a nuclear safety system by Monte Carlo simulation. Reliab Eng Syst Saf 90:162–168
Meng FC (1993) Element-relevancy and characterization results in multi-state systems. IEEE Trans Reliab 42(3):478–483
Meng FC (1995) Some further results on ranking the importance of system elements. Reliab Eng Syst Saf 47:97–101
Meng FC (1996) Comparing the importance of system elements by some structural characteristics. IEEE Trans Reliab 45(1):59–65
Modarres M (2006) Risk analysis in engineering: probabilistic techniques, tools and trends. CRC Press, USA
van der Borst M, Shoonakker H (2001) An overview of PSA importance measures. Reliab Eng Syst Saf 72(3):241–245
Vasseur D, Llory M (1999) International survey on PSA figures of merit. Reliab Eng Syst Saf 66:261–274
Vesely WE (1998) Supplemental viewpoints on the use of importance measures in risk-informed regulatory applications. Reliab Eng Syst Saf 60:257–259
Wash-1400 (NUREG 75/014) (1975) Reactor safety study: an assessment of accident risks in US. Commercial Nuclear Power Plants, Appendix 2, Fault Trees
Wu S, Chan L (2003) Performance utility-analysis of multi-state systems. IEEE Trans Reliab 52(1):14–20
Youngblood RW (2001) Risk significance and safety significance. Reliab Eng Syst Saf 73:121–136
Zio E (2007) An introduction to the basics of reliability and risk analysis, Series in quality, reliability and engineering statistics, vol. 13, World Scientific, Singapore
Zio E, Podofillini L (2003) Importance measures of multi-state components in multi-state systems. Int J Reliab Qual Safety Eng 10(3):289–310
Zio E, Podofillini L (2004) A second-order differential importance measure for reliability and risk applications, SAMO, Sensitivity Analysis of Model Output, March 8–11, 2004, Santa Fe. Available on CD-rom
Zio E, Marella M, Podofillini L (2004) A comparison of different importance measures for multistate systems, MMR, mathematical methods in reliability, June 21–25, Santa Fe, New Mexico, USA
Acknowledgments
The Author would like to thank Dr. Luca Podofillini of the Paul Scherrer Institute, Switzerland, for the preparation of the material and in particular for contributing to the development of the work related to Examples 6 and 7 and Mr. Michele Compare for contributing to the development of Chap. 14. Finally, many thanks go to Mrs. Lucia Golea for assisting in the preparation of the manuscript.
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Zio, E. (2011). Risk Importance Measures. In: Pham, H. (eds) Safety and Risk Modeling and Its Applications. Springer Series in Reliability Engineering. Springer, London. https://doi.org/10.1007/978-0-85729-470-8_6
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DOI: https://doi.org/10.1007/978-0-85729-470-8_6
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