Bayesian network enhanced with structural reliability methods: Methodology

Journal of Engineering Mechanics

Volumn 136, Issue 10, 2010, Pages 1248-1258

  Straub, Daniel ^a   Der Kiureghian, Armen ^b  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b Berkeley   (United States)

Author keywords

Bayesian analysis; Probabilistic modeling; Structural reliability

Indexed keywords

BAYESIAN ANALYSIS; BAYESIAN NETWORKS (BNS); BAYESIAN UPDATING; COMPUTATIONAL FRAMEWORK; ENGINEERING STRUCTURES; INFRASTRUCTURE SYSTEMS; PHYSICALLY BASED MODELS; PROBABILISTIC DEPENDENCE; PROBABILISTIC MODELING; RARE EVENT; STRUCTURAL RELIABILITY; STRUCTURAL SYSTEMS;

DISTRIBUTED PARAMETER NETWORKS; INFERENCE ENGINES; INTELLIGENT NETWORKS; QUALITY ASSURANCE; RELIABILITY ANALYSIS; RISK ANALYSIS; RISK ASSESSMENT; SPEECH RECOGNITION; STRUCTURAL ANALYSIS;

BAYESIAN NETWORKS;

BAYESIAN ANALYSIS; INFRASTRUCTURE; MODELING; PROBABILITY; RELIABILITY ANALYSIS; RISK ASSESSMENT; STRUCTURAL ANALYSIS;

EID: 77956850907     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)EM.1943-7889.0000173     Document Type: Article

References (35)

1. Beck JL, Au S-K. Bayesian updating of structural models and reliability using Markov chain Monte Carlo simulation. J. Eng. Mech. 2002, 128(4):380-391. JENMDT, 0733-9399, 10.1061/(ASCE)0733-9399(2002)128:4(380)
2. Bensi MT, Straub D, Friis-Hansen P, Der Kiureghian A. Modeling infrastructure system performance using BN. Proc. ICOSSAR'09 2009, CRC Press, Boca Raton, Fla.
3. Bobbio A, Portinale L, Minichino M, Ciancamerla E. Improving the analysis of dependable systems by mapping fault trees into Bayesian networks. Reliab. Eng. Syst. Saf. 2001, 71(3):249-260. RESSEP, 0951-8320, 10.1016/S0951-8320(00)00077-6
4. Cooper GF. The computational complexity of probabilistic inference using Bayesian belief networks. Artif. Intell. 1990, 42(2-3):393-405. AINTBB, 0004-3702, 10.1016/0004-3702(90)90060-D, ., .
5. Dechter R. Bucket elimination: A unifying framework for probabilistic inference. Proc., 12th Conf. on Uncertainty in Artificial Intelligence 1996
6. Der Kiureghian A. First- and second-order reliability methods. Engineering design reliability handbook 2005, E. Nikolaidis, ., Chap. 14, eds., CRC, Boca Raton, Fla..
7. Ditlevsen O, Madsen HO. Structural reliability methods 1996, Wiley, New York.
8. Ellingwood BR. Structural safety special issue: General-purpose software for structural reliability analysis. Struct. Safety 2006, 28(1-2):1-2. 0167-4730, 10.1016/j.strusafe.2005.03.001
9. Faber MH, Kroon IB, Kragh E, Bayly D, Decosemaeker P. Risk assessment of decommissioning options using Bayesian networks. J. Offshore Mech. Arct. Eng. 2002, 124(4):231-238. JMOEEX, 0892-7219, 10.1115/1.1491974
10. Friis-Hansen A. Bayesian networks as a decision support tool in marine applications. 2000, Ph.D. thesis, DTU, Lyngby, Denmark.
11. Friis-Hansen P. Structuring of complex systems using Bayesian network. Proc., Workshop on Reliability Analysis of Complex Systems 2004, ., Technical Univ. of Denmark, Lyngby, Denmark.
12. Gilks WR, Richardson S, Spiegelhalter DJ. Markov chain Monte Carlo in practice 1996, Chapman Hall, London.
13. Grêt-Regamey A, Straub D. Spatially explicit avalanche risk assessment linking Bayesian networks to a GIS. Nat. Hazards Earth Syst. Sci. 2006, 6(6):911-926. 1561-8633, 10.5194/nhess-6-911-2006
14. Jensen FV, Nielsen TD. Bayesian networks and decision graphs. Information science and statistics 2007, Springer, New York.
15. Langseth H, Nielsen TD, Rumí R, Salmerón A. Inference in hybrid Bayesian networks. Reliab. Eng. Syst. Saf. 2009, 94(10):1499-1509. RESSEP, 0951-8320, 10.1016/j.ress.2009.02.027
16. Langseth H, Portinale L. Bayesian networks in reliability. Reliab. Eng. Syst. Saf. 2007, 92(1):92-108. RESSEP, 0951-8320, 10.1016/j.ress.2005.11.037
17. Lauritzen SL, Spiegelhalter DJ. Local computations with probabilities on graphical structures and their application to expert systems. J. R. Stat. Soc. Ser. B 1988, 50(2):157-224. 0035-9246
18. Madsen HO. Model updating in reliability theory. Proc., ICASP 5 1987, pp. 565577.
19. Mahadevan S, Rebba R. Validation of reliability computational models using Bayes networks. Reliab. Eng. Syst. Saf. 2005, 87(2):223-232. RESSEP, 0951-8320, 10.1016/j.ress.2004.05.001
20. Murphy KP. The Bayes net toolbox for Matlab. Computing Science and Statistics 2001, 33. 0002-7820
21. Murphy KP. Dynamic Bayesian networks: Representation, inference and learning. 2002, Ph.D. thesis, Univ. of California, Berkeley, Berkeley, Calif.
22. Neil M, Tailor M, Marquez D, Fenton N, Hearty P. Modelling dependable systems using hybrid Bayesian networks. Reliab. Eng. Syst. Saf. 2008, 93(7):933-939. RESSEP, 0951-8320, 10.1016/j.ress.2007.03.009
23. Nishijima K, Maes MA, Goyet J, Faber MH. Constrained optimization of component reliabilities in complex systems. Struct. Safety 2009, 31(2):168-178. 0167-4730, 10.1016/j.strusafe.2008.06.016
24. Pearl J. Probabilistic reasoning in intelligent systems: Networks of plausible inference. The Morgan Kaufmann series in representation and reasoning 1988, Morgan Kaufmann, San Mateo, Calif.
25. Rackwitz R. Reliability analysis-A review and some perspectives. Struct. Safety 2001, 23(4):365-395. 0167-4730, 10.1016/S0167-4730(02)00009-7
26. Russell SJ, Norvig P. Artificial intelligence: A modern approach 2003, 2nd Ed., Prentice-Hall, Upper Saddle River, N.J.
27. Schall G, Gollwitzer S, Rackwitz R. Integration of multinormal densities on surfaces. Proc., 2nd IFIP WG 7.5 Working Conf. 1988, 235-249. Springer, Berlin
28. Shachter RD. Evaluating influence diagrams. Oper. Res. 1986, 34(6):871-882. OPREAI, 0030-364X, 10.1287/opre.34.6.871
29. Shachter RD. Probabilistic inference and influence diagrams. Oper. Res. 1988, 36(4):589-604. OPREAI, 0030-364X, 10.1287/opre.36.4.589
30. Shenoy PP, Shafer G. Axioms for probability and belief-function propagation. Proc., 4th Annual Conf. on Uncertainty in Artificial Intelligence 1990, North-Holland, Amsterdam, The Netherlands.
31. Straub D. Stochastic modeling of deterioration processes through dynamic Bayesian networks. J. Eng. Mech. 2009, 135(10):1089-1099. JENMDT, 0733-9399, 10.1061/(ASCE)EM.1943-7889.0000024
32. Straub D, Bensi MT, Der Kiureghian A. Spatial modeling of earthquake hazard and infrastructure performance through Bayesian networks. Proc., EM'08 Conf. 2008, Univ. of Minnesota, Minneapolis.
33. Straub D, Der Kiureghian A. Combining Bayesian networks with structural reliability methods: Application. J. Eng. Mech. 2010, 136(10):1259-1270. JENMDT, 0733-9399
34. Wen YK, Chen HC. On fast integration for time variant structural reliability. Probab. Eng. Mech. 1987, 2(3):156-162. PEMEEX, 0266-8920, 10.1016/0266-8920(87)90006-3
35. Zhang NL, Poole D. Exploiting causal independence in Bayesian network inference. J. Artif. Intell. Res. 1996, 5:301-328. 1076-9757