Reliability and Safety Engineering pp 457-491 | Cite as
Uncertainty Analysis in Reliability/Safety Assessment
Chapter
First Online:
Abstract
This chapter presents the basics of uncertainty analysis in reliability or risk assessment. Although probabilistic representation of uncertainty is very popular, alternate methods of representing uncertainties are also presented, which are useful when limited information is available. Different methods of uncertainty propagation are discussed, which include analytical methods, Monte Carlo simulation, interval and fuzzy arithmetic based approaches. Two methods to build input parameter distributions are also explained in detail viz., Bayesian and expert elicitation techniques.
Keywords
Membership Function Probability Distribution Function Fuzzy Number Uncertainty Propagation Joint Moment
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
- 1.NASA (2002) Probabilistic risk assessment procedures guide for NASA managers and practitioners. Version 1.1, NASA ReportGoogle Scholar
- 2.Scott F, Lev RG (1996) Different methods are needed to propagate ignorance and variability. Reliab Eng Syst Saf 54:133–144CrossRefGoogle Scholar
- 3.IAEA (1992) Procedure for conducting probabilistic safety assessment of nuclear power plants (level 1). Safety Series No. 50-P-4, International Atomic Energy Agency, ViennaGoogle Scholar
- 4.Abrahamsson M (2002) Uncertainty in quantitative risk analysis. Report 1024, Lund UniversityGoogle Scholar
- 5.Bae H, Grandhi RV, Canfield RA (2004) Epistemic uncertainty quantification techniques including evidence theory for large scale structures. Comput Struct 82:1101–1112CrossRefGoogle Scholar
- 6.Bae H, Grandhi RV, Canfield RA (2003) Uncertainty quantification of structural response using evidence theory. AIAA J 41(10):2062–2068CrossRefGoogle Scholar
- 7.Bae H, Grandhi RV, Canfield RA (2004) An approximation approach for uncertainty quantification using evidence theory. Reliab Eng Syst Saf 86:215–225CrossRefGoogle Scholar
- 8.Siu NO, Kelly DL (1998) Bayesian parameter estimation in probabilistic risk assessment. Reliab Eng Syst Saf 62:89–116CrossRefGoogle Scholar
- 9.USNRC (2003) Handbook of parameter estimation for probabilistic risk assessment. NUREG/CR-6823, U.S. Nuclear Regulatory Commission, Washington, DCGoogle Scholar
- 10.Swain AD, Guttman.HE (1983) Handbook of human reliability analysis with emphasis on nuclear power applications. NUREG/CR-1278, U.S. Nuclear Regulatory Commission, Washington, DCGoogle Scholar
- 11.Clemen RT, Winkler RL (1999) Combining probability distributions from experts in risk analysis. Risk Anal 19(2):187–203Google Scholar
- 12.Ayyub BM (2001) Elicitation of expert opinions for uncertainty and risks. CRC Press, New YorkCrossRefGoogle Scholar
- 13.Morgan MG, Henrion M (1992) Uncertainty—a guide to dealing uncertainty in auantitative risk and policy analysis. Cambridge University Press, LondonGoogle Scholar
- 14.Rushdi AM, Kafrawy KF (1988) Uncertainty propagation in fault tree analyses using an exact method of moments. Microelectron Reliab 28:945–965CrossRefGoogle Scholar
- 15.Kafrawy KF, Rushdi AM (1990) Uncertainty analysis of fault tree with statistically correlated failure data. Microelectron Reliab 30:157–175CrossRefGoogle Scholar
- 16.Iman RL, Davenport JM, Ziegler DK (1980) Latin hypercube sampling, Sandia National Laboratories, Albuquerque, Technical Report, SAND79–1473Google Scholar
- 17.Ganesh K, Veeramani P (2005) On arithmetic operations of interval numbers. Int J Uncertainty Fuzziness Knowl-Based Syst 13(6):619–631CrossRefGoogle Scholar
- 18.Ferson S, Kuhn R (1992) Propagating uncertainty in ecological risk analysis using interval and fuzzy arithmetic. In: Zannetti P (ed) Computer techniques in environmental studies IV. Elsevier Applied Science, London, pp 387–401CrossRefGoogle Scholar
- 19.George JK, Yuan B (1995) Fuzzy sets and fuzzy logic. Prentice-Hall of India Pvt. Ltd., New DelhiMATHGoogle Scholar
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