Risk-based optimal inspection strategies for structural systems using dynamic Bayesian networks

Abstract In most structural systems, it is neither possible nor optimal to inspect all system components regularly. An optimal inspection-repair strategy controls deterioration in structural systems efficiently with limited cost and acceptable reliability. At present, an integral risk-based optimization procedure for entire structural systems is not available; existing risk-based inspection methods are limited to optimizing inspections component by component. The challenges to an integral approach lie in the large number of optimization parameters in the inspection-repair process of a structural system, and the need to perform probabilistic inference for the entire system at once to address interdependencies among all components. In this paper, we outline a methodology for an integral risk-based optimization of inspections in structural systems, which utilizes a heuristic approach to formulating the optimization problem. It takes basis in a recently developed dynamic Bayesian network (DBN) framework for rapid computation of the system reliability conditional on inspection results. The optimization problem is solved by nesting the DBN inside a Monte-Carlo simulation for computing the expected cost associated with a system-wide inspection strategy. The proposed methodology is applied to a structural system subject to fatigue deterioration and it is demonstrated that it enables an integral risk-based inspection planning for structural systems.

[1]  Daniel Straub,et al.  Risk based inspection planning for structural systems , 2005 .

[2]  Daniel Straub,et al.  Reliability analysis and updating of deteriorating systems with subset simulation , 2017 .

[3]  Ross B. Corotis,et al.  Reliability-Based Structural Design with Markov Decision Processes , 1995 .

[4]  Y. K. Lin,et al.  A stochastic theory of fatigue crack propagation , 1985 .

[5]  Bruce R. Ellingwood,et al.  Probabilistic methods for condition assessment and life prediction of concrete structures in nuclear power plants , 1993 .

[6]  Robert E. Melchers,et al.  Probabilistic models for steel corrosion loss and pitting of marine infrastructure , 2008, Reliab. Eng. Syst. Saf..

[7]  Michael Havbro Faber,et al.  Risk Assessment of Decommissioning Options Using Bayesian Networks , 2002 .

[8]  H. Daniels.  The statistical theory of the strength of bundles of threads. I , 1945, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[9]  M. A. Girshick,et al.  Bayes and minimax solutions of sequential decision problems , 1949 .

[10]  Daniel Straub,et al.  Spatial Probabilistic Modeling of Corrosion in Ship Structures , 2017 .

[11]  Daniel Straub,et al.  Optimal prioritization of inspections in structural systems considering component interactions and interdependence , 2017 .

[12]  Daniel Straub,et al.  Updating of Service Life Prediction of Reinforced Concrete Structures with Potential Mapping , 2014 .

[13]  J.-N. Yang,et al.  Inspection frequency optimization for aircraft structures based on reliability analysis , 1975 .

[14]  Milad Memarzadeh,et al.  Integrated Inspection Scheduling and Maintenance Planning for Infrastructure Systems , 2016, Comput. Aided Civ. Infrastructure Eng..

[15]  Michael Havbro Faber,et al.  MODELLING IN OPTIMAL INSPECTION AND REPAIR , 1991 .

[16]  Preben Terndrup Pedersen,et al.  Bayesian Networks as a Decision Support Tool in Marine Applications , 2001 .

[17]  Luis Enrique Sucar,et al.  Bayesian Networks for Reliability Analysis of Complex Systems , 1998, IBERAMIA.

[18]  Markus R. Dann,et al.  Hierarchical Bayes methods for systems with spatially varying condition states , 2007 .

[19]  Daniel Straub,et al.  Efficient Bayesian network modeling of systems , 2013, Reliab. Eng. Syst. Saf..

[20]  Adrienne Grêt-Regamey,et al.  Spatially explicit avalanche risk assessment linking Bayesian networks to a GIS , 2006 .

[21]  Sw. Banerjee,et al.  Hierarchical Modeling and Analysis for Spatial Data , 2003 .

[22]  Daniel Straub,et al.  Field Implementation of RBI for Jacket Structures , 2005 .

[23]  Natasha Smith,et al.  Bayesian networks for system reliability reassessment , 2001 .

[24]  Samer Madanat,et al.  History-Dependent Bridge Deck Maintenance and Replacement Optimization with Markov Decision Processes , 2007 .

[25]  S. Gollwitzer,et al.  On the reliability of Daniels systems , 1990 .

[26]  Stuart J. Russell,et al.  Dynamic bayesian networks: representation, inference and learning , 2002 .

[27]  Iason Papaioannou,et al.  Bayesian analysis of rare events , 2016, J. Comput. Phys..

[28]  Palle Thoft-Christensen,et al.  Optimal strategy for inspection and repair of structural systems , 1987 .

[29]  Eleni Chatzi,et al.  Maintenance planning using continuous-state partially observable Markov decision processes and non-linear action models , 2016 .

[30]  C. Guedes Soares,et al.  Reliability assessment of maintained ship hulls with correlated corroded elements , 1997 .

[31]  Li Ying,et al.  Service life prediction and repair of concrete structures with spatial variability , 2007 .

[32]  Robert E. Melchers,et al.  Life‐Cycle Performance of RC Bridges: Probabilistic Approach , 2000 .

[33]  G. I. Schuëller,et al.  A probabilistic criterion for evaluating the goodness of fatigue crack growth models , 1996 .

[34]  Matthew Collette,et al.  A dynamic discretization method for reliability inference in Dynamic Bayesian Networks , 2015, Reliab. Eng. Syst. Saf..

[35]  Steffen L. Lauritzen,et al.  Representing and Solving Decision Problems with Limited Information , 2001, Manag. Sci..

[36]  Finn V. Jensen,et al.  Bayesian Networks and Decision Graphs , 2001, Statistics for Engineering and Information Science.

[37]  Dan M. Frangopol,et al.  Risk-informed life-cycle optimum inspection and maintenance of ship structures considering corrosion and fatigue , 2015 .

[38]  Mark G. Stewart,et al.  Spatial time-dependent reliability analysis of corrosion damage and the timing of first repair for RC structures , 2007 .

[39]  Rolf Skjong,et al.  Rational methods for fatigue design and inspection planning of offshore structures , 1991 .

[40]  Benoît Iung,et al.  Overview on Bayesian networks applications for dependability, risk analysis and maintenance areas , 2012, Eng. Appl. Artif. Intell..

[41]  Daniel Straub,et al.  Reliability Acceptance Criteria for Deteriorating Elements of Structural Systems , 2011 .

[42]  Daniel Straub,et al.  Stochastic Modeling of Deterioration Processes through Dynamic Bayesian Networks , 2009 .

[43]  Daniel Straub,et al.  System Effects in Generic Risk-Based Inspection Planning , 2004 .

[44]  Norman Fenton,et al.  Risk Assessment and Decision Analysis with Bayesian Networks , 2012 .

[45]  Michael Havbro Faber,et al.  Risk-Based Inspection: The Framework , 2002 .

[46]  Daniel Straub,et al.  Computational Aspects of Risk-Based Inspection Planning , 2006, Comput. Aided Civ. Infrastructure Eng..

[47]  Daniel Straub,et al.  Reliability updating with equality information , 2011, 1203.5405.

[48]  Weicheng Cui,et al.  Effect of corrosion models on the time-dependent reliability of steel plated elements , 2003 .

[49]  Paolo Gardoni,et al.  A stochastic framework to model deterioration in engineering systems , 2015 .

[50]  Torgeir Moan,et al.  Initial Crack Depth and POD Values Inferred From In-Service Observations of Cracks in North Sea Jackets , 2000 .

[51]  J. N. Yang,et al.  Reliability Analysis of Aircraft Structures under Random Loading and Periodic Inspection , 1974 .

[52]  Daniel Straub,et al.  Reliability analysis and updating of deteriorating systems with dynamic Bayesian networks , 2016 .

[53]  Samer Madanat,et al.  Computation of Infrastructure Transition Probabilities using Stochastic Duration Models , 2002 .

[54]  Jianjun Qin,et al.  Risk Management of Large RC Structures within Spatial Information System , 2012, Comput. Aided Civ. Infrastructure Eng..

[55]  H. Raiffa,et al.  Applied Statistical Decision Theory. , 1961 .

[56]  Daniel Straub,et al.  Algorithms for optimal risk-based planning of inspections using influence diagrams , 2013 .

[57]  Ic Moore,et al.  Probabilistic Updating of Flaw Information , 1973 .

[58]  Torgeir Moan.  Reliability-based management of inspection, maintenance and repair of offshore structures , 2005 .

[59]  Gudfinnur Sigurdsson,et al.  Probabilistic Inspection Planning of the Åsgard A FPSO Hull Structure With Respect to Fatigue , 2000 .

[60]  John Dalsgaard Sørensen,et al.  Methods for Risk-Based Planning of O&M of Wind Turbines , 2014 .

[61]  Daniel Straub,et al.  Reliability analysis and updating of structural systems with subset simulation , 2017 .