Competing failure risk analysis using evidence theory

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn 6, Issue , 2003, Pages 4648-4670

  Helton, Jon C ^a   Oberkampf, William L ^a   Johnson, Jay D ^a  

^a SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCIDENT PREVENTION; FAILURE ANALYSIS; FIRE PROTECTION; MAINTENANCE; MATHEMATICAL MODELS; PROBABILITY; RISK ASSESSMENT; SECURITY SYSTEMS;

DIFFUSE UNCERTAINTY INFORMATION; EVIDENCE THEORY; FIRE ACCIDENT;

AEROSPACE ENGINEERING;

EID: 0041476047     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (50)

1. Bandeen-Roche, K. and K.Y. Liang. 2002. "Modelling multivariate failure time association in the presence of a competing risk." Biometrika. Vol. 89. no. 2, pp. 299-314.
2. Cooke, R. and J. Paulsen. 1997. "Concepts for measuring maintenance performance and methods for analysing competing failure modes," Reliability Engineering and System Safety. Vol. 55, no. 2, pp. 135-141.
3. Mijailovic, V. 2003. "Probabilistic method for planning of maintenance activities of substation components," Electric Power Systems Research. Vol. 64, no. 1, pp. 53-58.
4. Moosa, M.S., K.F. Poole, and M.L. Grams. 1996. "EFSIM: an integrated circuit early failure simulator," Quality and Reliability Engineering International. Vol. 12, no. 4, pp. 229-234.
5. Pham, H. and D.M. Malon. 1994. "Optimal Design of Systems With Competing Failure Modes." IEEE Transactions on Reliability. Vol. 43, no. 2. pp. 251-254.
6. Bedford, T. and R. Cooke. 2001. Probabilistic Risk Analysis: Foundations and Methods. Cambridge, UK: Cambridge University Press.
7. Hoffman, F.O. and J.S. Hammonds. 1994. "Propagation of Uncertainty in Risk Assessments: The Need to Distinguish Between Uncertainty Due to Lack of Knowledge and Uncertainty Due to Variability," Risk Analysis, Vol. 14, no. 5, pp. 707-712.
8. Rowe, W.D. 1994. "Understanding Uncertainty," Risk Analysis, Vol. 14, no. 5, pp. 743-750.
9. Helton, J.C. 1994. "Treatment of Uncertainty in Performance Assessments for Complex Systems," Risk Analysis, Vol. 14, no. 4, pp. 483-511.
10. Hora, S.C. 1996. "Aleatory and epistemic uncertainty in probability elicitation with an example from hazardous waste management," Reliability Engineering and System Safety, Vol. 54, pp. 217-223.
11. Frey, H.C. and D.S. Rhodes. 1996. "Characterizing, Simulating, and Analyzing Variability and Uncertainty: An Illustration of Methods Using an Air Toxics Emissions Example," Human and Ecological Risk Assessment. Vol. 2, no. 4, pp. 762-797.
12. Ferson, S. and L.R. Ginzburg. 1996. "Different Methods are Needed to Propagate Ignorance and Variability," Reliability Engineering and System Safety, Vol. 54, pp. 133-144.
13. Rai, S.N., D. Krewski, and S. Bartlett. 1996. "A General Framework for the Analysis of Uncertainty and Variability in Risk Assessment," Human and Ecological Risk Assessment, Vol. 2, no. 4, pp. 972-989.
14. Parry, G.W. 1996. "The characterization of uncertainty in Probabilistic Risk Assessments of complex systems," Reliability Engineering and System Safety. Vol. 54, pp. 119-126.
15. Helton, J.C. 1997. "Uncertainty and Sensitivity Analysis in the Presence of Stochastic and Subjective Uncertainty," Journal of Statistical Computation and Simulation. Vol. 57, pp. 3-76.
16. Paté-Cornell, M.E. 1996. "Uncertainties in Risk Analysis: Six Levels of Treatment," Reliability Engineering and System Safety, Vol. 54, pp. 95-111.
17. Cullen, A.C. and H.C. Frey. 1999. Probabilistic Techniques in Exposure Assessment: A Handbook for Dealing with Variability and Uncertainty in Models and Inputs. New York: Plenum Press.
18. Oberkampt, W.L., S.M. DeLand, B.M. Rutherford, K.V. Diegert, and K.F. Alvin. 2002, "Error and Uncertainty in Modeling and Simulation," Reliability Engineering and System Safety, Vol. 75, no. 3. pp. 333-357.
19. Oberkampf, W.L., J.C. Helton, and K. Sentz, 2001. "Mathematical Representation of Uncertainty," 3rd Non-Deterministic Approaches Forum, Seattle, WA: American Institute of Aaeronautics and Astronautics.
20. Manton, K.G., M.A. Woodbury, and H.D. Tolley, 1994. Statistical Applications Using Fuzzy Sets, New York: John Wiley.
21. Onisawa, T. and J. Kacprzyk, eds. "Reliability and Safety Analyses Under Fuzziness," 1995, Heidelberg: Physica-Verlag.
22. Ross, T.J. 1995. Fuzzy Logic with Engineering Applications, New York: McGraw-Hill
23. Klir, G.J., U. St. Clair, and B. Yuan. 1997. Fuzzy Set Theory: Foundations and Applications, Upper Saddle River, NJ: Prentice Hall PTR.
24. Dubois, D. and H. Prade, eds. "Fundamentals of Fuzzy Sets," 2000, Boston, MA: Kluwer Academic Publishers.
25. Moore, R.E. 1979. Methods and Applications of Interval Analysis. Philadelphia, PA: SAIM.
26. Kearfott, R.B. and V. Kreinovich, eds. "Applications of Interval Computations," 1996, Boston. MA: Kluwer Academic Pub.
27. Shafer, G. 1976. A Mathematical Theory of Evidence. Princeton, NJ: Princeton University Press.
28. Guan, J. and D.A. Bell. 1991. Evidence Theory and Its Applications. Amsterdam: North Holland.
29. Krause, P. and D. Clark. 1993. Representing Uncertain Knowledge: An Artificial Intelligence Approach. Dordrecht, The Netherlands: Kluwer Academic Publishers.
30. Kohlas, J. and P.-A. Monney. 1995. A Mathematical Theory of Hints - An Approach to the Dempster-Shafer Theory of Evidence. Berlin: Springer.
31. Klir, G.J. and M.J. Wierman. 1998. Uncertainty-Based Information: Elements of Generalized Information Theory. Heidelberg: Physica-Verlag.
32. Kramosil, I. 2001. Probabilistic Analysis of Belief Functions. New York: Kluwer.
33. Dubois, D. and H. Prade. 1988. Possibility Theory: An Approach to Computerized Processing of Uncertainty. New York: Plenum Press.
34. de Cooman, G., D. Ruan, and E.E. Kerre, eds. "Foundations and Applications of Possibility Theory," ed. K. Hirota, et al. 1995, Singapore: World Scientific Publishing Co.
35. Walley, P. 1991. Statistical Reasoning with Imprecise Probabilities. London: Chapman and Hall.
36. Klir, G.J. and R.M. Smith. 2001. "On Measuring Uncertainty and Uncertainty-Based Information: Recent Developments," Annals of Mathematics and Artificial Intelligence. Vol. 32, no. 1-4, pp. 5-33.
37. Dong, W.-M. and F.S. Wong. 1986. "From Uncertainty to Approximate Reasoning: Part 1: Conceptual Models and Engineering Interpretations," Civil Engineering Systems. Vol. 3, pp. 143-154.
38. Dong, W.-M. and F.S. Wong. 1987. "From Uncertainty to Approximate Reasoning: Part 3: Reasoning with Conditional Rules," Civil Engineering Systems. Vol. 4, no. 1, pp. 45-53.
39. Lai, K.-L. and B.M. Ayyub. 1994. "Generalized Uncertainty in Structural Reliability Assessment," Civil Engineering Systems. Vol. 11, pp. 81-110.
40. Tonon, F. and A. Bernardini. 1998. "A Random Set Approach to the Optimization of Uncertain Structures," Computers & Structures. Vol. 68, no. 6, pp. 583-600.
41. Tanaka, K. and G.J. Klir. 1999. "A design condition for incorporating human judgement into monitoring systems," Reliability Engineering and System Safety. Vol. 65, no. 3, pp. 251-258.
42. Tonon, F., A. Bernardini, and I. Elishakoff. 1999. "Concept of Random Sets as Applied to the Design of Structures and Analysis of Expert Opinions for Aircraft Crash," Chaos, Solitons, & Fractals. Vol. 10, bo. 11, pp. 1855-1868.
43. Rakar, A., D. Juricic, and P. Ballé. 1999. "Transferable belief model in fault diagnosis," Engineering Applications of Artificial Intelligence. Vol. 12, no. 5, pp. 555-567.
44. Fetz, T., M. Oberguggenberger, and S. Pittschmann. 2000. "Applications of Possibility and Evidence Theory in Civil Engineering," International Journal of Uncertainty. Vol. 8, no. 3, pp. 295-309.
45. Oberkampf, W.L. and J.C. Helton. 2002. "Investigation of Evidence Theory for Engineering Applications," 4th Non-Deterministic Approaches Forum. Denver, CO: American Institute of Aeronautics and Astronautics.
46. Dempster, A.P. 1967. "Upper and Lower Probabilities Induced by a Multivalued Mapping," The Annals of Statistics. Vol. 38, pp. 325-339.
47. Dempster, A.P. 1967. "Upper and Lower Probability Inferences Based on a Sample from a Finite Univariate Population," Biometrics. Vol. 5. no. 23. pp. 515-528.
48. Helton, J.C. 1993. "Uncertainty and Sensitivity Analysis Techniques for use in Performance Assessment for Radioactive Waste Disposal," Reliability Engineering and System Safety. Vol. 42, bo. 2-3, pp. 327-367.
49. Saltelli, A., K. Chan, and E.M. Scott, eds. "Sensitivity Analysis," 2000, New York: Wiley.
50. Helton, J.C. and F.J. Davis. 2002. Latin Hypercube Sampling and the Propagation of Uncertainty in Analyses of Complex Systems, SAND2001-0417. Albuquerque, NM: Sandia National Labs.