Bayesian Network Enhanced with Structural Reliability Methods: Methodology
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VIEW THE REPLYPublication: Journal of Engineering Mechanics
Volume 136, Issue 10
Abstract
We combine Bayesian networks (BNs) and structural reliability methods (SRMs) to create a new computational framework, termed enhanced BN (eBN), for reliability and risk analysis of engineering structures and infrastructure. BNs are efficient in representing and evaluating complex probabilistic dependence structures, as present in infrastructure and structural systems, and they facilitate Bayesian updating of the model when new information becomes available. On the other hand, SRMs enable accurate assessment of probabilities of rare events represented by computationally demanding physically based models. By combining the two methods, the eBN framework provides a unified and powerful tool for efficiently computing probabilities of rare events in complex structural and infrastructure systems in which information evolves in time. Strategies for modeling and efficiently analyzing the eBN are described by way of several conceptual examples. The companion paper applies the eBN methodology to example structural and infrastructure systems.
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References
Beck, J. L., and Au, S. -K. (2002). “Bayesian updating of structural models and reliability using Markov chain Monte Carlo simulation.” J. Eng. Mech., 128(4), 380–391.
Bensi, M. T., Straub, D., Friis-Hansen, P., and Der Kiureghian, A. (2009). “Modeling infrastructure system performance using BN.” Proc. ICOSSAR’09, CRC Press, Boca Raton, Fla.
Bobbio, A., Portinale, L., Minichino, M., and Ciancamerla, E. (2001). “Improving the analysis of dependable systems by mapping fault trees into Bayesian networks.” Reliab. Eng. Syst. Saf., 71(3), 249–260.
Cooper, G. F. (1990). “The computational complexity of probabilistic inference using Bayesian belief networks.” Artif. Intell., 42(2–3), 393–405.
Dechter, R. (1996). “Bucket elimination: A unifying framework for probabilistic inference.” Proc., 12th Conf. on Uncertainty in Artificial Intelligence.
Der Kiureghian, A. (2005). “First- and second-order reliability methods.” Engineering design reliability handbook, Chap. 14, E. Nikolaidis et al., eds., CRC, Boca Raton, Fla.
Ditlevsen, O., and Madsen, H. O. (1996). Structural reliability methods, Wiley, New York.
Ellingwood, B. R. (2006). “Structural safety special issue: General-purpose software for structural reliability analysis.” Struct. Safety, 28(1–2), 1–2.
Faber, M. H., Kroon, I. B., Kragh, E., Bayly, D., and Decosemaeker, P. (2002). “Risk assessment of decommissioning options using Bayesian networks.” J. Offshore Mech. Arct. Eng., 124(4), 231–238.
Friis-Hansen, A. (2000). “Bayesian networks as a decision support tool in marine applications.” Ph.D. thesis, DTU, Lyngby, Denmark.
Friis-Hansen, P. (2004). “Structuring of complex systems using Bayesian network.” Proc., Workshop on Reliability Analysis of Complex Systems, Technical Univ. of Denmark, Lyngby, Denmark.
Gilks, W. R., Richardson, S., and Spiegelhalter, D. J. (1996). Markov chain Monte Carlo in practice, Chapman & Hall, London.
Grêt-Regamey, A., and Straub, D. (2006). “Spatially explicit avalanche risk assessment linking Bayesian networks to a GIS.” Nat. Hazards Earth Syst. Sci., 6(6), 911–926.
Jensen, F. V., and Nielsen, T. D. (2007). Bayesian networks and decision graphs. Information science and statistics, Springer, New York.
Langseth, H., Nielsen, T. D., Rumí, R., and Salmerón, A. (2009). “Inference in hybrid Bayesian networks.” Reliab. Eng. Syst. Saf., 94(10), 1499–1509.
Langseth, H., and Portinale, L. (2007). “Bayesian networks in reliability.” Reliab. Eng. Syst. Saf., 92(1), 92–108.
Lauritzen, S. L., and Spiegelhalter, D. J. (1988). “Local computations with probabilities on graphical structures and their application to expert systems.” J. R. Stat. Soc. Ser. B, 50(2), 157–224.
Madsen, H. O. (1987). “Model updating in reliability theory.” Proc., ICASP 5, pp. 565–577.
Mahadevan, S., and Rebba, R. (2005). “Validation of reliability computational models using Bayes networks.” Reliab. Eng. Syst. Saf., 87(2), 223–232.
Murphy, K. P. (2001). “The Bayes net toolbox for Matlab.” Computing Science and Statistics, 33.
Murphy, K. P. (2002). “Dynamic Bayesian networks: Representation, inference and learning.” Ph.D. thesis, Univ. of California, Berkeley, Berkeley, Calif.
Neil, M., Tailor, M., Marquez, D., Fenton, N., and Hearty, P. (2008). “Modelling dependable systems using hybrid Bayesian networks.” Reliab. Eng. Syst. Saf., 93(7), 933–939.
Nishijima, K., Maes, M. A., Goyet, J., and Faber, M. H. (2009). “Constrained optimization of component reliabilities in complex systems.” Struct. Safety, 31(2), 168–178.
Pearl, J. (1988). Probabilistic reasoning in intelligent systems: Networks of plausible inference. The Morgan Kaufmann series in representation and reasoning, Morgan Kaufmann, San Mateo, Calif.
Rackwitz, R. (2001). “Reliability analysis—A review and some perspectives.” Struct. Safety, 23(4), 365–395.
Russell, S. J., and Norvig, P. (2003). Artificial intelligence: A modern approach, 2nd Ed., Prentice-Hall, Upper Saddle River, N.J.
Schall, G., Gollwitzer, S., and Rackwitz, R. (1988). “Integration of multinormal densities on surfaces.” Proc., 2nd IFIP WG 7.5 Working Conf., Springer, Berlin, 235–249.
Shachter, R. D. (1986). “Evaluating influence diagrams.” Oper. Res., 34(6), 871–882.
Shachter, R. D. (1988). “Probabilistic inference and influence diagrams.” Oper. Res., 36(4), 589–604.
Shenoy, P. P., and Shafer, G. (1990). “Axioms for probability and belief-function propagation.” Proc., 4th Annual Conf. on Uncertainty in Artificial Intelligence, North-Holland, Amsterdam, The Netherlands.
Straub, D. (2009). “Stochastic modeling of deterioration processes through dynamic Bayesian networks.” J. Eng. Mech., 135(10), 1089–1099.
Straub, D., Bensi, M. T., and Der Kiureghian, A. (2008). “Spatial modeling of earthquake hazard and infrastructure performance through Bayesian networks.” Proc., EM’08 Conf., Univ. of Minnesota, Minneapolis.
Straub, D., and Der Kiureghian, A. (2010). “Combining Bayesian networks with structural reliability methods: Application.” J. Eng. Mech., 136(10), 1259–1270.
Wen, Y. K., and Chen, H. C. (1987). “On fast integration for time variant structural reliability.” Probab. Eng. Mech., 2(3), 156–162.
Zhang, N. L., and Poole, D. (1996). “Exploiting causal independence in Bayesian network inference.” J. Artif. Intell. Res., 5, 301–328.
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© 2010 ASCE.
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Received: Jul 27, 2009
Accepted: Mar 23, 2010
Published online: Mar 25, 2010
Published in print: Oct 2010
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