An inverse-measure-based unilevel architecture for reliability-based design optimization, Struct. Multidisc. Optim, vol.33, issue.3, pp.217-227, 2007. ,
Reliability-based design optimization using response surfaces in application to multidisciplinary systems, Eng. Opt, vol.36, issue.3, pp.291-311, 2004. ,
Benchmark study of numerical methods for reliabilitybased design optimization, Struct. Multidisc. Optim, vol.41, issue.2, pp.277-294, 2010. ,
A (1+1)-CMA-ES for constrained optimisation, Genetic and evolutionary computation conference, pp.297-304, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00696268
Reliability-based design sensitivity by efficient simulation, Comput. Struct, vol.83, issue.14, pp.1048-1061, 2005. ,
Estimation of small failure probabilities in high dimensions by subset simulation, Prob. Eng. Mech, vol.16, issue.4, pp.263-277, 2001. ,
Cross validation and maximum likelihood estimations of hyper-parameters of Gaussian processes with model misspecifications, Comput. Stat. Data Anal, vol.66, pp.55-69, 2013. ,
An improved adaptive sampling scheme for the construction of explicit boundaries, Struct. Multidisc. Optim, vol.42, issue.4, pp.517-529, 2008. ,
Reliability-based optimization using bridge importance sampling, Prob. Eng. Mech, vol.34, pp.48-57, 2013. ,
A comparison of deterministic, reliability-based and risk-based structural optimization under uncertainty, Prob. Eng. Mech, vol.28, pp.18-29, 2012. ,
Efficient global reliability analysis for nonlinear implicit performance functions, AIAA Journal, vol.46, issue.10, pp.2459-2468, 2008. ,
Reliability analysis and optimal design under uncertainty -Focus on adaptive surrogate-based approaches, Habilitationà diriger des recherches, 2018. ,
URL : https://hal.archives-ouvertes.fr/tel-01737299
Model selection for small sample regression, Machine Learning, vol.48, issue.1, pp.9-23, 2002. ,
Structural design optimization considering uncertainties, pp.3-30, 2008. ,
Reliability-based structural design optimization for practical applications, 38th Structures, Structural Dynamics, and Materials Conference, pp.2724-2732, 1997. ,
An important boundary sampling method for reliability-based design optimization using Kriging model, Struct. Multidisc. Optim, vol.52, issue.1, pp.55-70, 2015. ,
A sequential approximate programming strategy for reliability-based structural optimization, Comput. Struct, vol.84, issue.21, pp.1353-1367, 2006. ,
Reliability-based design optimization using convex linearization and sequential optimization and reliability assessment method, Structural Safety, vol.33, issue.1, pp.42-50, 2011. ,
Advanced line sampling for efficient robust reliability analysis, Structural Safety, vol.52, pp.170-182, 2015. ,
Structural reliability methods, 1996. ,
Sequential optimization and reliability assessment method for efficient probabilistic design, J. Mech. Design, vol.126, issue.2, pp.225-233, 2004. ,
Adaptive surrogate models for reliability analysis and reliability-based design optimization, 2011. ,
URL : https://hal.archives-ouvertes.fr/tel-00697026
Reliability-based design optimization using Kriging and subset simulation, Struct. Multidisc. Optim, vol.44, issue.5, pp.673-690, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00587311
Reliability-based optimization in structural engineering, Structural Safety, vol.15, issue.3, pp.169-196, 1994. ,
Reliability and performance-based design: a computational approach and applications, Structural Safety, vol.24, issue.2-4, pp.205-218, 2002. ,
Structural optimization using reliability concepts, J. Struct. Eng, vol.111, issue.11, pp.2288-2301, 1985. ,
Life-cycle reliability-based optimization of civil and aerospace structures, Comput. Struct, vol.81, pp.397-410, 2003. ,
A derivative-free trust-region algorithm for reliability-based optimization, Struct. Multidisc. Optim, vol.55, issue.4, pp.1535-1539, 2017. ,
Adaptive surrogate model with active refinement combining Kriging and a trust region method, Reliab. Eng. Syst. Saf, vol.165, pp.277-291, 2017. ,
Cross-entropy-based importance sampling using gaussian densities revisited, Structural Safety, vol.76, pp.15-27, 2019. ,
Completely derandomized self-adaptation in evolution strategies, Evol. Comput, vol.9, issue.2, pp.159-195, 2001. ,
Minimum weight analysis based on structural reliability, J. aerospace sci, vol.27, issue.9, pp.641-652, 1960. ,
Non-parametric stochastic subset optimization for optimalreliability design problems, Comput. Struct, vol.126, pp.86-99, 2013. ,
An adaptive hybrid single-loop method for reliability-based design optimization using iterative control strategy, Struct. Multidisc. Optim, pp.1-16, 2017. ,
Particle swarm optimizer, and colony strategy and harmony search scheme hybridized for optimization of truss structures, Comput. Struct, vol.87, pp.1267-283, 2009. ,
Approximation methods for reliability-based design optimization problems. GAMM-Mitt, vol.30, pp.225-268, 2007. ,
Efficient reliability-based design optimization using a hybrid space with application to finite element analysis, Struct. Multidisc. Optim, vol.24, issue.3, 2002. ,
Cross-entropy-based adaptive importance sampling using gaussian mixture, Structural Safety, vol.42, pp.35-44, 2013. ,
Two basic problems in reliability-based structural optimization, Math. Method. Oper. Res, vol.46, issue.3, pp.309-333, 1997. ,
The gaussian process modeling module in UQLab, Soft Computing in Civil Engineering, vol.2, issue.3, pp.91-116, 2018. ,
Inverse analysis method using MPP-based dimension reduction for reliability-based design optimization of nonlinear and multi-dimensional systems, Comput. Methods Appl. Mech. Engrg, vol.198, pp.14-27, 2008. ,
Sampling-based RBDO using the stochastic sensitivity analysis and dynamic Kriging method, Struct. Multidisc. Optim, vol.44, issue.3, pp.299-317, 2011. ,
A comparative study of reliability-index and target-performance-based probabilistic structural design optimization, Comput. Struct, vol.80, pp.257-269, 2002. ,
Bayesian statistics An introduction, 1997. ,
A sampling technique enhancing accuracy and efficiency of metamodel-based RBDO: Constraint boundary sampling, Comput. Struct, vol.86, pp.1463-1476, 2008. ,
Reliability-based design: Artificial neural networks and double-loop reliability-based optimization approaches, Adv. Eng. Soft, pp.1-13, 2017. ,
An adaptive hybrid approach for reliability-based design optimization, Struct. Multidisc. Optim, vol.51, issue.5, pp.1051-1065, 2015. ,
An effective optimization procedure based on structural reliability, Comput. Struct, vol.52, issue.5, pp.1061-1067, 1994. ,
A local Kriging approximation method using MPP for reliability-based design optimization, Comput. Struct, vol.162, pp.102-115, 2016. ,
Design engineering technical conferences and computers and information in engineering conference, Proc. DETC'04 ASME, 2004. ,
A single-loop approach for system reliability-based design optimization, J. Mech. Des, vol.129, issue.12, pp.1215-1224, 2007. ,
A semi-single-loop method using approximatino of most probable point for reliability-based design optimization, Struct. Multidisc. Optim, vol.53, issue.4, pp.745-757, 2016. ,
Reliability based design optimization with approximate failure probability function in partitioned design space, Reliab. Eng. Syst. Saf, vol.167, pp.602-611, 2017. ,
A comparison of some algorithms for reliability based structural optimization and sensitivity analysis, Lectures Notes in Engineering, vol.76, pp.443-451, 1992. ,
UQLab: A framework for uncertainty quantification in Matlab, Vulnerability, Uncertainty, and Risk (Proc. 2nd Int. Conf. on Vulnerability, Risk Analysis and Management (ICVRAM2014), pp.2554-2563, 2014. ,
A comparison of three methods for selecting values of input variables in the analysis of output from a computer code, Technometrics, vol.2, pp.239-245, 1979. ,
UQLab user manual -Support vector machines for regression, Safety & Uncertainty Quantification, 2018. ,
UQLab user manual -Reliability-based design optimization, 2019. ,
Quantile-based optimization under uncertainties using bootstrap polynomial chaos expansions, Proc. 12th Internatinoal Conference on Structural Safety and Reliability (ICOSSAR), 2017. ,
Quantile-based optimization under uncertainties using adaptive Kriging surrogate models, Struct. Multidisc. Optim, vol.54, issue.6, pp.1403-1421, 2016. ,
Comparative study of Kriging and support vector regression for structural engineering applications, ASCE-ASME J. Risk Uncertainty Eng. Syst., Part A: Civ. Eng, vol.4, issue.2, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01893274
Reliability based optimization: A safety index approach, Comput. Struct, vol.28, issue.6, pp.781-788, 1988. ,
Design optimization of steel structures considering uncertainties, Eng. Struct, vol.27, issue.9, pp.1408-1418, 2005. ,
MCMC algorithms for subset simulation, Prob. Eng. Mech, vol.41, pp.89-103, 2015. ,
Application of line sampling simulation method to reliability benchmark problems, Structural Safety, vol.29, issue.3, pp.208-221, 2007. ,
Design sensitivity and reliability-based structural optimization by univariate decomposition, Struct. Multidisc. Optim, vol.35, issue.3, pp.245-261, 2008. ,
A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics, Prob. Eng. Mech, vol.19, pp.393-408, 2004. ,
A simulation-based method for reliabilitybased design optimization problems with highly nonlinear constraints, Automation in Construction, vol.47, pp.24-36, 2014. ,
Adaptive computation and machine learning, 2006. ,
Reliability-based optimal design using sample average approximations, Prob. Eng. Mech, vol.19, pp.331-343, 2004. ,
Reliability-based optimal structural design by the decoupling approach, Reliab. Eng. Sys. Safety, vol.73, issue.3, pp.213-221, 2001. ,
The Design and Analysis of Computer Experiments, 2003. ,
Fire safety assessment and optimal design of passive fire protection for offshore structures, Reliab. Eng. Syst. Saf, vol.61, issue.1-2, pp.139-149, 1998. ,
A tutorial on support vector regression, Stat. Comput, vol.14, pp.199-222, 2004. ,
Distribution of points in a cube and approximate evaluation of integrals, U.S.S.R Comput. Maths. Math. Phys, vol.7, pp.86-112, 1967. ,
Efficient sampling-based RBDO by using virtual support vector machine and improving the accuracy of the Kriging method, 2013. ,
Implementation of the simultaneous perturbation algorithm for stochastic optimization, IEEE Trans. Aerospace Electronic Systems, vol.34, issue.3, pp.817-823, 1998. ,
An overview of the simultaneous perturbation method for efficient optimization, Johns Hopkins Apl. Technical Digest, vol.19, issue.4, pp.482-492, 1998. ,
Simulation-based optimization I: regression, common random numbers, and selection methods, vol.14, 2003. ,
Introduction to stochastic search and optimization: Estimation, simulation and control, 2003. ,
Reliability-based design optimization using SORM and SQP, Struct. Multidisc. Optim, vol.56, issue.3, pp.631-645, 2017. ,
Stochastic system design and applications to stochastic robust structural control, 2007. ,
Stochastic subset optimization for optimal reliability problems, Prob. Eng. Mech, vol.23, pp.324-338, 2008. ,
Adaptive Kriging for simulation-based design under uncertainty: Development of metamodels in augmented input space and adaptive tuning of their characteristics, Proc. 4th International Conference On Simulation And Modeling Methodologies, Technologies And Applications, 2014. ,
A general framework for data-driven uncertainty quantification under complex input dependencies using vine copulas, Prob. Eng. Mech, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01901982
A new study on reliability-based design optimization, J. Mech. Des, vol.121, pp.557-564, 1999. ,
A survey on approaches for reliability-based optimization, Struct. Multidisc. Optim, vol.42, pp.645-663, 2010. ,
The Nature of Statistical Learning Theory, 1995. ,
Adaptive response surface method using inherited Latin Hypercube design points, J. Mech. Design, vol.125, pp.210-220, 2003. ,
A constrained simulation perturbation stochastic approximation algorithm based on penalty functions, Proceedings of the 1998 IEEE ISIC/CIRA/ISAS Joint Conference, 1998. ,
Adaptive-loop method for non-deterministic design optimization, Part O: Journal of Risk and Reliability, vol.221, issue.2, pp.107-116, 2007. ,
Enriched performance measure approach for reliability-based design optimization, AIAA Journal, vol.43, issue.4, pp.874-884, 2005. ,
Sequential approximate optimization for design under uncertainty problems utilizing Kriging metamodeling in augmented input space, 2017. ,
, Comput. Methods Appl. Mech. Engrg, vol.315, pp.369-395
A direct decoupling approach for efficient reliability-based design optimization, Struct. Multidisc. Optim, vol.31, pp.190-200, 2006. ,