Prioritizing failure events in fault tree analysis using interval-valued probability estimates

11th International Probabilistic Safety Assessment and Management Conference and the Annual European Safety and Reliability Conference 2012, PSAM11 ESREL 2012

Volumn 3, Issue , 2012, Pages 2538-2547

  Toppila, Antti ^a   Salo, Ahti ^a  

^a AALTO UNIVERSITY   (Finland)

Author keywords

Fault tree analysis; Imprecise probability; Probabilistic risk analysis

Indexed keywords

BIRNBAUM; CONFIDENCE INTERVAL; DOMINANCE RELATION; FAILURE EVENTS; FAULT-TREES; IMPORTANCE MEASURE; IMPRECISE PROBABILITIES; INTERVAL PROBABILITY; INTERVAL VALUED PROBABILITY; MINIMAL CUT SETS; NUMERICAL RESULTS; PROBABILISTIC RISK ANALYSIS; PROBABILISTIC SAFETY ASSESSMENT; PROBABILITY ESTIMATE; RARE EVENT APPROXIMATION;

ESTIMATION; LINEAR PROGRAMMING; NUCLEAR POWER PLANTS; PROBABILISTIC LOGICS; PROBABILITY; SAFETY ENGINEERING;

FAULT TREE ANALYSIS;

EID: 84873152046     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (21)

1. M van der Borst and H Schoonakker. An overview of PSA importance measures. Reliability Engineering & System Safety, 72(3):241 - 245, 2001.
2. T Le Duy, D Vasseur, M Couplet, and L Dieulle. Parameter and model uncertainty analysis using Dempster-Shafer theory in nuclear probabilistic risk assessment. In ANS PSA 2011 International Topical Meeting on Probabilistic Safety Assessment and Analysis, March 13-17 2011.
3. T Le Duy, D Vasseur, L Dieulle, C B́erenguer, and M Couplet. Representation of parameter uncertainty with evidence theory in probabilistic risk assessment. In Workshop of The Theory of Belief Functions, Brest, France, April 1-2 2010.
4. T Le Duy, D Vasseur, L Dieulle, C B́erenguer, and M Couplet. Treatment of epistemic uncertainties with non-probabilistic approaches in applications of probabilistic risk assessment. In Proceedings of PSAM 10 Topical Meeting, Seattle US., 2010.
5. P Walley. Statistical Reasoning with Imprecise Probabilities. Monographs in Statistics and Applied Probability 42. Chapman and Hall, London, 1991.
6. L Utkin and F Coolen. Imprecise reliability: An introductory overview. In G Levitin, editor, Intelligence in Reliability Engineering, volume 40 of Studies in Computational Intelligence, pages 261-306. Springer Berlin/Heidelberg, 2007.
7. A Cano and S Moral. Using probability trees to compute marginals with imprecise probability. International Journal of Approximate Reasoning, 29:1-46, 2002.
8. C de Campos. Inference in creadal networks using multilinear programming. In E Onaindia and S Staab, editors, STAIRS 2004: Proceedings of the Second Starting AI Researchers' Symposium, Frontiers in artificial intelligence and applications. IOS Press, 2004.
9. D Kikuti, F G Cozman, and C P de Campos. Partially ordered preferences in decision trees: computing strategies with imprecision in probabilities. In IJCAI Workshop on Advances in Preference Handling, Edinburgh, United Kingdom, 2005.
10. P Guo and H Tanaka. Decision making with interval probabilities. European Journal of Operational Research, 203(2):444-454, June 2010.
11. J Liesiö and A Salo. Scenario-based portfolio selection of investment projects with incomplete probability and utility information. European Journal of Operational Research, 217(1):162-172, 2012.
12. A Salo. Tighter estimates for the posteriors of imprecise prior and conditional probabilities. IEEE Transactions on Systems, Man and Cybernetics, Part A: Systems and Humans, 26(6):820 - 825, November 1996.
13. R R Yager and V Kreinovich. Decision making under interval probabilities. International Journal of Approximate Reasoning, 22(3):195 - 215, 1999.
14. P Limbourg, R Savíc, J Petersen, and H-D Kochs. Fault tree analysis in an early design stage using the Dempster-Shafer theory of evidence. In T Aven and J Vinnem, editors, Risk, Reliability and Societal Safety: Proceedings of the European Safety and Reliability Conference 2007 (ESREL 2007), Stavanger, Norway, 25-27 June 2007, Bristol, PA, USA, 2007. Taylor & Francis, Inc.
15. I O Kozine and Y V Filimonov. Imprecise reliabilities: experiences and advances. Reliability Engineering & System Safety, 67(1):75 - 83, 2000.
16. E Borgonovo. The reliability importance of components and prime implicants in coherent and noncoherent systems including total-order interactions. European Journal of Operational Research, 204:485-495, 2010.
17. B R Barmish, P S Shcherbakov, S R Ross, and F Dabbene. On positivity of polynomials: The dilation integral method. IEEE Transactions on Automatic Control, 54(5):965 - 978, May 2009.
18. S R Ross and B R Barmish. New estimates for practical robust negativity of multilinear functions. In Proceedings of the American Control Conference 2007, 2007.
19. C Laneve, T Lascu, and V Sordoni. The interval analysis of multilinear expressions. Electronic Notes in Theoretical Computer Science, 267(2):43 - 53, 2010.
20. K Deb. Multi-Objective Optimization Using Evolutionary Algorithms. Wiley, 2001.
21. A Salo and A Punkka. Ranking intervals and dominance relations for ratio-based efficiency analysis. Management Science, 57(1):200-214, 2011.