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Volumn 58, Issue 1, 2009, Pages 69-87

Evidential networks for reliability analysis and performance evaluation of systems with imprecise knowledge

Author keywords

Dempster Shafer theory; Imprecise probability; Performance evaluation; Utility functions

Indexed keywords

RELIABILITY ANALYSIS; TURBOFAN ENGINES; UNCERTAINTY ANALYSIS;

EID: 63149179676     PISSN: 00189529     EISSN: None     Source Type: Journal    
DOI: 10.1109/TR.2008.2011868     Document Type: Article
Times cited : (104)

References (80)
  • 1
    • 63149158818 scopus 로고    scopus 로고
    • ISA, ANSI/ISA-S84.01-1996: Application of Safety Instrumented Systems for the Process Control Industry, Instrumentation Society of America (ISA), 1996.
    • ISA, ANSI/ISA-S84.01-1996: Application of Safety Instrumented Systems for the Process Control Industry, Instrumentation Society of America (ISA), 1996.
  • 2
    • 63149177672 scopus 로고    scopus 로고
    • IEC, IEC61508: Functional Safety of Electrical/Electronic/Programmable Electronic (E/E/PE) Safety Related Systems, International Electrotechnical Commission (IEC), 1998.
    • IEC, IEC61508: Functional Safety of Electrical/Electronic/Programmable Electronic (E/E/PE) Safety Related Systems, International Electrotechnical Commission (IEC), 1998.
  • 3
    • 63149119917 scopus 로고    scopus 로고
    • IEC, IEC61511: Functional Safety: Safety Instrumented Systems for the Process Industry Sector, International Electrotechnical Commission (IEC), 2000.
    • IEC, IEC61511: Functional Safety: Safety Instrumented Systems for the Process Industry Sector, International Electrotechnical Commission (IEC), 2000.
  • 4
    • 0003702671 scopus 로고
    • Fault Tree Analysis, Electrotechnical
    • IEC, IEC 61025: Commission IEC
    • IEC, IEC 61025: Fault Tree Analysis, Electrotechnical Commission (IEC), 1990.
    • (1990)
  • 5
    • 0031078884 scopus 로고    scopus 로고
    • Survey of reliability and availability evaluation of complex networks using Monte Carlo techniques
    • H. Wang and H. Pham, "Survey of reliability and availability evaluation of complex networks using Monte Carlo techniques," Microelectronic Reliability, vol. 37, no. 2, pp. 187-209, 1997.
    • (1997) Microelectronic Reliability , vol.37 , Issue.2 , pp. 187-209
    • Wang, H.1    Pham, H.2
  • 6
    • 33847395057 scopus 로고    scopus 로고
    • Quantification of epistemic and aleatory uncertainties in level-1 probabilistic safety assessment studies
    • K. D. Rao, H. Kushwaha, A. Verma, and A. Srividya, "Quantification of epistemic and aleatory uncertainties in level-1 probabilistic safety assessment studies," Reliability Engineering and System Safety, vol. 92, no. 7, pp. 947-956, 2007.
    • (2007) Reliability Engineering and System Safety , vol.92 , Issue.7 , pp. 947-956
    • Rao, K.D.1    Kushwaha, H.2    Verma, A.3    Srividya, A.4
  • 7
    • 25844511404 scopus 로고    scopus 로고
    • Complex system reliability modelling with dynamic object oriented Bayesian networks (doobn)
    • P. Weber and L. Jouffe, "Complex system reliability modelling with dynamic object oriented Bayesian networks (doobn)," Reliability Engineering and System Safety, vol. 91, no. 2, pp. 149-162, 2006.
    • (2006) Reliability Engineering and System Safety , vol.91 , Issue.2 , pp. 149-162
    • Weber, P.1    Jouffe, L.2
  • 11
    • 0036533632 scopus 로고    scopus 로고
    • Interval valued finite Markov chains
    • I. Kozine and L. Utkin, "Interval valued finite Markov chains," Reliable Computing, vol. 8, pp. 97-113, 2002.
    • (2002) Reliable Computing , vol.8 , pp. 97-113
    • Kozine, I.1    Utkin, L.2
  • 12
    • 4544229131 scopus 로고    scopus 로고
    • System optimization with component reliability estimation uncertainty: A multicriteria approach
    • D. Coit, T. Jin, and N. Wattanapongsakorn, "System optimization with component reliability estimation uncertainty: A multicriteria approach," IEEE Trans. Reliability, vol. 53, no. 3, pp. 369-380, 2004.
    • (2004) IEEE Trans. Reliability , vol.53 , Issue.3 , pp. 369-380
    • Coit, D.1    Jin, T.2    Wattanapongsakorn, N.3
  • 13
    • 10244246566 scopus 로고    scopus 로고
    • Bounding the times to failure of 2-component systems
    • D. Berleant and J. Zhang, "Bounding the times to failure of 2-component systems," IEEE Trans. Reliability, vol. 53, no. 4, pp. 542-550, 2004.
    • (2004) IEEE Trans. Reliability , vol.53 , Issue.4 , pp. 542-550
    • Berleant, D.1    Zhang, J.2
  • 14
    • 56149118865 scopus 로고    scopus 로고
    • Imprecise reliability: A concise overview
    • Stavanger, Norway, June
    • F. Coolen and L. Utkin, "Imprecise reliability: A concise overview," in Proc. of ESREL'07, Stavanger, Norway, June 2007, pp. 1959-1966.
    • (2007) Proc. of ESREL'07 , pp. 1959-1966
    • Coolen, F.1    Utkin, L.2
  • 15
    • 0000042191 scopus 로고    scopus 로고
    • System failure engineering and fuzzy methodology: An introductory overview
    • K.-Y. Cai, "System failure engineering and fuzzy methodology: An introductory overview," Fuzzy Sets and Systems, vol. 83, no. 2, pp. 113-133, 1996.
    • (1996) Fuzzy Sets and Systems , vol.83 , Issue.2 , pp. 113-133
    • Cai, K.-Y.1
  • 17
    • 0025242877 scopus 로고
    • A fuzzy set approach to fault tree and reliability analysis
    • D. Singer, "A fuzzy set approach to fault tree and reliability analysis," Fuzzy Sets and Systems, vol. 34, pp. 145-155, 1990.
    • (1990) Fuzzy Sets and Systems , vol.34 , pp. 145-155
    • Singer, D.1
  • 18
    • 40549083396 scopus 로고    scopus 로고
    • A fuzzy probabilistic approach for determining safety integrity level
    • M. Sallak, C. Simon, and J.-F. Aubry, "A fuzzy probabilistic approach for determining safety integrity level," IEEE Trans. Fuzzy Systems vol. 16, no. 1, 2007.
    • (2007) IEEE Trans. Fuzzy Systems , vol.16 , Issue.1
    • Sallak, M.1    Simon, C.2    Aubry, J.-F.3
  • 19
    • 63149108130 scopus 로고    scopus 로고
    • L. Guo, Software Quality and Reliability Prediction Using Dempster-Shafer Theory, Ph.D in computer and information science, College of Engineering and Mineral Resources, Morgantown, West Virginia, 2004.
    • L. Guo, "Software Quality and Reliability Prediction Using Dempster-Shafer Theory," Ph.D in computer and information science, College of Engineering and Mineral Resources, Morgantown, West Virginia, 2004.
  • 21
    • 63149105588 scopus 로고    scopus 로고
    • Bayesian networks and evidence theory to model complex systems reliability
    • C. Simon, P. Weber, and E. Levrat, "Bayesian networks and evidence theory to model complex systems reliability," Journal of Computers vol. 2, no. 1, pp. 33-43, 2007.
    • (2007) Journal of Computers , vol.2 , Issue.1 , pp. 33-43
    • Simon, C.1    Weber, P.2    Levrat, E.3
  • 22
    • 39749097318 scopus 로고    scopus 로고
    • Bayesian networks inference algorithm to implement Dempster Shafer theory in reliability analysis
    • C. Simon, P. Weber, and A. Evsukoff, "Bayesian networks inference algorithm to implement Dempster Shafer theory in reliability analysis," Reliability Engineering and System Safety, vol. 93, no. 7, pp. 950-963, 2008.
    • (2008) Reliability Engineering and System Safety , vol.93 , Issue.7 , pp. 950-963
    • Simon, C.1    Weber, P.2    Evsukoff, A.3
  • 25
    • 63149106491 scopus 로고    scopus 로고
    • A Comparison of Bayesian and Belief Function Reasoning, University of Kansas, School of Business
    • Tech. Rep. 292, September
    • B. R. Cobb and P. P. Shenoy, A Comparison of Bayesian and Belief Function Reasoning, University of Kansas, School of Business, Tech. Rep. 292, September 2002.
    • (2002)
    • Cobb, B.R.1    Shenoy, P.P.2
  • 26
    • 63149102824 scopus 로고    scopus 로고
    • P. Smets, TBMLAB, IRIDIA, Brussels, Belgium, March 2004.
    • P. Smets, TBMLAB, IRIDIA, Brussels, Belgium, March 2004.
  • 28
    • 16344370580 scopus 로고    scopus 로고
    • Graphical models for imprecise probabilities
    • F. Cozman, "Graphical models for imprecise probabilities," International Journal of Approximate Reasoning, vol. 39, no. 2-3, pp. 167-184, 2005.
    • (2005) International Journal of Approximate Reasoning , vol.39 , Issue.2-3 , pp. 167-184
    • Cozman, F.1
  • 29
    • 42649131716 scopus 로고    scopus 로고
    • Inference in directed evidential networks based on the transferable belief model
    • B. B. Yaghlane and K. Mellouli, "Inference in directed evidential networks based on the transferable belief model," International Journal of Approximate Reasoning, vol. 48, no. 2, pp. 399-418, 2008.
    • (2008) International Journal of Approximate Reasoning , vol.48 , Issue.2 , pp. 399-418
    • Yaghlane, B.B.1    Mellouli, K.2
  • 30
    • 0000516376 scopus 로고
    • Upper and lower probabilities induced by a multivalued mapping
    • A. P. Dempster, "Upper and lower probabilities induced by a multivalued mapping," Annals of Mathematical Statistics, vol. 38, pp. 325-339, 1967.
    • (1967) Annals of Mathematical Statistics , vol.38 , pp. 325-339
    • Dempster, A.P.1
  • 34
    • 0040023856 scopus 로고
    • Belief induced by the knowledge of some probabilities
    • San Mateo, California
    • P. Smets, "Belief induced by the knowledge of some probabilities," in Uncertainty in AI'94, San Mateo, California, 1994, pp. 523-530.
    • (1994) Uncertainty in AI'94 , pp. 523-530
    • Smets, P.1
  • 35
    • 0041675012 scopus 로고    scopus 로고
    • Combination of Evidence in Dempster-Shafer Theory, Sandia National Laboratory
    • Tech. Rep
    • K. Sentz and S. Ferson, Combination of Evidence in Dempster-Shafer Theory, Sandia National Laboratory, 2002, Tech. Rep..
    • (2002)
    • Sentz, K.1    Ferson, S.2
  • 36
    • 63149181130 scopus 로고    scopus 로고
    • Incertitude et mesure de performance: Une nouvelle approche à travers la théorie mathématique des indications,
    • Ph.D. dissertation, Faculté des sciences économiques et sociales, Université de Fribourg, Switzerland
    • E. Ouzounova, "Incertitude et mesure de performance: Une nouvelle approche à travers la théorie mathématique des indications," Ph.D. dissertation, Faculté des sciences économiques et sociales, Université de Fribourg, Switzerland, 2005.
    • (2005)
    • Ouzounova, E.1
  • 37
    • 63149199613 scopus 로고    scopus 로고
    • Modèle de Précaution en Économie: Introduction Aux Probabilités Imprécises,
    • Ph.D. dissertation, Université de Paris I, Panthéon Sorbonne, France
    • M. H. Duong, "Modèle de Précaution en Économie: Introduction Aux Probabilités Imprécises," Ph.D. dissertation, Université de Paris I - Panthéon Sorbonne, France, 2005.
    • (2005)
    • Duong, M.H.1
  • 39
    • 27144484205 scopus 로고
    • How far are we from the complete knowledge? Complexity of knowledge acquisition in the Dempster-Shafer approach
    • John Wiley & Sons
    • B. A. Chokr and V. Y. Kreinovich, "How far are we from the complete knowledge? Complexity of knowledge acquisition in the Dempster-Shafer approach," in Advances in the Dempster-Shafer theory of evidence. : John Wiley & Sons, 1994.
    • (1994) Advances in the Dempster-Shafer theory of evidence
    • Chokr, B.A.1    Kreinovich, V.Y.2
  • 41
  • 42
    • 2642577870 scopus 로고    scopus 로고
    • Uncertainty-based information. elements of generalized information theory
    • Physica-Verlag
    • G. Klir and M. Wierman, "Uncertainty-based information. elements of generalized information theory," in Studies in Fuzziness and Soft-Computing. : Physica-Verlag, 1998.
    • (1998) Studies in Fuzziness and Soft-Computing
    • Klir, G.1    Wierman, M.2
  • 43
    • 0028406490 scopus 로고
    • The transferable belief model
    • P. Smets and R. Kennes, "The transferable belief model," Artificial Intelligence, vol. 66, pp. 191-243, 1994.
    • (1994) Artificial Intelligence , vol.66 , pp. 191-243
    • Smets, P.1    Kennes, R.2
  • 44
    • 0003216106 scopus 로고
    • Fuzzy sets and fuzzy logic
    • Prentice Hall
    • G. Klir and B. Yuan, "Fuzzy sets and fuzzy logic," in Theory and Applications. : Prentice Hall, 1995.
    • (1995) Theory and Applications
    • Klir, G.1    Yuan, B.2
  • 45
    • 0026370874 scopus 로고
    • A probability foundation for vagueness and imprecision in fault tree analysis
    • M. Guth, "A probability foundation for vagueness and imprecision in fault tree analysis," IEEE Trans. Reliability, vol. 40, no. 5, pp. 563-570, 1991.
    • (1991) IEEE Trans. Reliability , vol.40 , Issue.5 , pp. 563-570
    • Guth, M.1
  • 46
  • 47
    • 0041306631 scopus 로고    scopus 로고
    • Imprecise probabilities of engineering system failure from random and fuzzy set reliability analysis
    • Jun. 26-29
    • J. Hall and J. Lawry, "Imprecise probabilities of engineering system failure from random and fuzzy set reliability analysis," in ISIPTA'01, Jun. 26-29, 2001.
    • (2001) ISIPTA'01
    • Hall, J.1    Lawry, J.2
  • 48
    • 70349677553 scopus 로고    scopus 로고
    • Fundamentals of the Dempster-Shafer theory and its applications to system safety and reliability modelling
    • Sopot, Poland, July
    • U. K. Rakowsky, "Fundamentals of the Dempster-Shafer theory and its applications to system safety and reliability modelling," in Proc. of the ESRA Summer Safety and Reliability Seminars - SSARS 2007, Sopot, Poland, July 2007.
    • (2007) Proc. of the ESRA Summer Safety and Reliability Seminars - SSARS 2007
    • Rakowsky, U.K.1
  • 49
    • 0036787913 scopus 로고    scopus 로고
    • The application of the matrix calculus to belief functions
    • P. Smets, "The application of the matrix calculus to belief functions," Int. J. Approximate Reasoning, vol. 31, pp. 1-30, 2002.
    • (2002) Int. J. Approximate Reasoning , vol.31 , pp. 1-30
    • Smets, P.1
  • 50
    • 18744415283 scopus 로고    scopus 로고
    • Dependence in Probabilistic Modeling, Dempster-Shafer Theory, and Probability Bounds Analysis, Sandia National Laboratory
    • Tech. Rep. 3072
    • S. Ferson, R. B. Nelsen, J. Hajagos, D. J. Berleant, J. Zhang, W. T. Tucker, L. R. Ginzburg, and W. L. Oberkampf, Dependence in Probabilistic Modeling, Dempster-Shafer Theory, and Probability Bounds Analysis, Sandia National Laboratory, Tech. Rep. 3072, 2004.
    • (2004)
    • Ferson, S.1    Nelsen, R.B.2    Hajagos, J.3    Berleant, D.J.4    Zhang, J.5    Tucker, W.T.6    Ginzburg, L.R.7    Oberkampf, W.L.8
  • 53
    • 1542559499 scopus 로고    scopus 로고
    • Constructing Probability Boxes and Dempster-Shafer Structures, Sandia National Laboratory
    • Tech. Rep
    • S. Ferson, V. Kreinovich, L. Ginzburg, D. Myers, and K. Sentz, Constructing Probability Boxes and Dempster-Shafer Structures, Sandia National Laboratory, 2002, Tech. Rep..
    • (2002)
    • Ferson, S.1    Kreinovich, V.2    Ginzburg, L.3    Myers, D.4    Sentz, K.5
  • 59
    • 0024641782 scopus 로고
    • Linear utility theory for belief functions
    • J.-Y. Jaffray, "Linear utility theory for belief functions," Operations Research Letters, vol. 8, pp. 107-112, 1989.
    • (1989) Operations Research Letters , vol.8 , pp. 107-112
    • Jaffray, J.-Y.1
  • 60
    • 0025401005 scopus 로고
    • The computational complexity of probabilistic inference using Bayesian belief networks (research note)
    • G. Cooper, "The computational complexity of probabilistic inference using Bayesian belief networks (research note)," Artif. Intell., vol. 42, no. 2-3, pp. 393-405, 1990.
    • (1990) Artif. Intell , vol.42 , Issue.2-3 , pp. 393-405
    • Cooper, G.1
  • 61
    • 0035283768 scopus 로고    scopus 로고
    • Improving the analysis of dependable systems by mapping fault trees into Bayesian networks
    • A. Bobbio, L. Portinale, M. Minichino, and E. Ciancamerla, "Improving the analysis of dependable systems by mapping fault trees into Bayesian networks," Reliability Engineering and System Safety, vol. 71, no. 3, pp. 249-260, 2001.
    • (2001) Reliability Engineering and System Safety , vol.71 , Issue.3 , pp. 249-260
    • Bobbio, A.1    Portinale, L.2    Minichino, M.3    Ciancamerla, E.4
  • 62
    • 9444266483 scopus 로고    scopus 로고
    • A discrete-time Bayesian network reliability modeling and analysis framework
    • H. Boudali and J. Dugan, "A discrete-time Bayesian network reliability modeling and analysis framework," Reliability Engineering and System Safety, vol. 87, pp. 337-349, 2005.
    • (2005) Reliability Engineering and System Safety , vol.87 , pp. 337-349
    • Boudali, H.1    Dugan, J.2
  • 69
    • 63149167588 scopus 로고    scopus 로고
    • MIL217B, in Reliability Prediction of Electronic Equipment. USA: Dept. of Defence, 1974.
    • "MIL217B," in Reliability Prediction of Electronic Equipment. USA: Dept. of Defence, 1974.
  • 70
    • 63149088454 scopus 로고    scopus 로고
    • IEEE Guide to the Collection and Presentation of Electrical, Electronic, Sensing Component, and Mechanical Equipment Reliability Data for Nuclear-Power Generating Station, IEEE-std-500, IEEE, 1984.
    • IEEE Guide to the Collection and Presentation of Electrical, Electronic, Sensing Component, and Mechanical Equipment Reliability Data for Nuclear-Power Generating Station, IEEE-std-500, IEEE, 1984.
  • 71
    • 63149142861 scopus 로고    scopus 로고
    • CCPS, in Guidelines for Process Equipment Reliability Data With Data Tables. : Center for Chemical Process Safety/AIChE, 1991.
    • "CCPS," in Guidelines for Process Equipment Reliability Data With Data Tables. : Center for Chemical Process Safety/AIChE, 1991.
  • 73
    • 33846390943 scopus 로고    scopus 로고
    • Block diagram method for analyzing multi-state systems with uncovered failures
    • G. Levitin, "Block diagram method for analyzing multi-state systems with uncovered failures," Reliability Engineering and System Safety vol. 92, pp. 727-734, 2007.
    • (2007) Reliability Engineering and System Safety , vol.92 , pp. 727-734
    • Levitin, G.1
  • 74
    • 0029325320 scopus 로고
    • Mixture models in profust reliability theory
    • June
    • K.-Y. Cai, C.-Y. Wen, and M.-L. Zhang, "Mixture models in profust reliability theory," Microelectronics and Reliability, vol. 35, no. 6, pp. 985-993, June 1995.
    • (1995) Microelectronics and Reliability , vol.35 , Issue.6 , pp. 985-993
    • Cai, K.-Y.1    Wen, C.-Y.2    Zhang, M.-L.3
  • 75
    • 2142808778 scopus 로고    scopus 로고
    • Posbist fault tree analysis of coherent systems
    • May
    • X. T. H.-Z. Huang and M. J. Zuo, "Posbist fault tree analysis of coherent systems," Reliability Engineering and System Safety, vol. 84, no. 2, pp. 141-148, May 2004.
    • (2004) Reliability Engineering and System Safety , vol.84 , Issue.2 , pp. 141-148
    • Huang, X.T.H.-Z.1    Zuo, M.J.2
  • 76
    • 2342624094 scopus 로고    scopus 로고
    • Fuzzy reliability estimation using Bayesian approach
    • H.-C. Wu, "Fuzzy reliability estimation using Bayesian approach," Computers and Industrial Engineering, vol. 46, pp. 467-493, 2004.
    • (2004) Computers and Industrial Engineering , vol.46 , pp. 467-493
    • Wu, H.-C.1
  • 77
    • 33846804165 scopus 로고    scopus 로고
    • Profust reliability of a gracefully degradable system
    • D. Pandey and S. Tyagi, "Profust reliability of a gracefully degradable system," Fuzzy Sets and Systems, vol. 158, pp. 794-803, 2007.
    • (2007) Fuzzy Sets and Systems , vol.158 , pp. 794-803
    • Pandey, D.1    Tyagi, S.2
  • 78
    • 0033117097 scopus 로고    scopus 로고
    • Evaluation of the unavailability of a multistate-component system using a binary model
    • O. Pourret, J. Collet, and J.-L. Bonouzounaova, "Evaluation of the unavailability of a multistate-component system using a binary model," Reliability Engineering and System Safety, vol. 64, pp. 13-17, 1999.
    • (1999) Reliability Engineering and System Safety , vol.64 , pp. 13-17
    • Pourret, O.1    Collet, J.2    Bonouzounaova, J.-L.3


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