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An innovative estimation of failure probability function based on conditional probability of parameter interval and augmented failure probability
16 references·16 citing·46 second hopsampled
An innovative estimation of failure probability function based on conditional probability of parameter interval and augmented failure probability (2019)An innovative estimation of failure proba…AK-SYSi: an improved adaptive Kriging model for system reliability analysis with multiple failure modes by a refined U learning function (2018)AK-SYSi: an improved adaptive…A Single-Loop Kriging Surrogate Modeling for Time-Dependent Reliability Analysis (2016)A Single-Loop Kriging Surroga…Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method (2013)Structural reliability analys…Assessing small failure probabilities by combined subset simulation and Support Vector Machines (2011)Assessing small failure proba…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…A survey on approaches for reliability-based optimization (2010)A survey on approaches for re…Uncertainty in Industrial Practice (2008)Uncertainty in Industrial Pra…Probabilistic uncertainty analysis by mean-value first order Saddlepoint Approximation (2007)Probabilistic uncertainty ana…A direct decoupling approach for efficient reliability-based design optimization (2006)A direct decoupling approach …Reliability-based design sensitivity by efficient simulation (2005)Reliability-based design sens…Robust design of structures using optimization methods (2004)Robust design of structures u…Reliability-Based Optimization of structural systems (1997)Reliability-Based Optimizatio…Reliability-based optimization in structural engineering (1994)Reliability-based optimizatio…Bayesian Design and Analysis of Computer Experiments: Use of Derivatives in Surface Prediction (1993)Bayesian Design and Analysis …Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Bayesian design and analysis of computer experiments: Use of derivatives in surface prediction (1991)Bayesian design and analysis …Two-stage failure probability function estimation method based on improved cross-entropy importance sampling and adaptive Kriging (2025)Two-stage failure probability…A new fully decoupled strategy for reliability optimization based on adaptive Kriging with improved efficient global optimization and weighted K-means clustering (2025)A new fully decoupled strateg…Meta model-based and cross entropy-based importance sampling algorithms for efficiently solving system failure probability function (2024)Meta model-based and cross en…Failure probability function estimation in augmented sample space combined active learning Kriging and adaptive sampling by Voronoi cells (2023)Failure probability function …Time-dependent reliability analysis method based on ARBIS and Kriging surrogate model (2022)Time-dependent reliability an…Global failure probability function estimation based on an adaptive strategy and combination algorithm (2022)Global failure probability fu…An innovative reliability-based design optimization method by combination of dual-stage adaptive kriging and genetic algorithm (2022)An innovative reliability-bas…An innovative Bayesian updating method for laminated composite structures under evidence uncertainty (2022)An innovative Bayesian updati…An ensemble model‐based method for estimating failure probability function with application in reliability‐based optimization (2022)An ensemble model‐based metho…An efficient Kriging model-based importance sampling method for estimating the failure probability-based parameter global sensitivity index with uncertain distribution parameters (2022)An efficient Kriging model-ba…Global reliability sensitivity analysis index and its efficient numerical simulation solution in presence of both random and interval hybrid uncertainty (2021)Global reliability sensitivit…An efficient computational method for estimating failure credibility by combining genetic algorithm and active learning Kriging (2020)An efficient computational me…A novel hypercube-based fuzzy simulation and its combination with adaptive Kriging for estimating failure credibility (2020)A novel hypercube-based fuzzy…A novel dual-stage adaptive Kriging method for profust reliability analysis (2020)A novel dual-stage adaptive K…Efficient computational method based on AK-MCS and Bayes formula for time-dependent failure probability function (2019)Efficient computational metho…Bi-Objective Adaptive Kriging for Reliability Analysis with Random and Evidence Variables (2019)Bi-Objective Adaptive Kriging…Structural Reliability Methods (1996)Kriging metamodeling in simulation: A review (2007)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)Metamodel-based importance sampling for structural reliability analysis (2013)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)Chance-Constrained Programming (1959)Estimation of small failure probabilities in high dimensions by subset simulation (2001)A Chebyshev interval method for nonlinear dynamic systems under uncertainty (2012)Surrogate-assisted reliability-based design optimization: a survey and a unified modular framework (2019)A Comparative Study of Metaheuristic Algorithms for Reliability-Based Design Optimization Problems (2020)Random field finite elements (1986)A Critical Review of Surrogate Assisted Robust Design Optimization (2017)Modeling, analysis, and optimization under uncertainties: a review (2021)Applied Statistical Decision Theory (1962)Probability, statistics, and decision for civil engineers (1970)Structural reliability under combined random load sequences (1978)Computational methods in optimization considering uncertainties – An overview (2008)Benchmark study of numerical methods for reliability-based design optimization (2009)Reliability-based design optimization using kriging surrogates and subset simulation (2011)Reliability analysis—a review and some perspectives (2001)A critical appraisal of reliability estimation procedures for high dimensions (2004)Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation (2016)Machine learning-based methods in structural reliability analysis: A review (2021)Exact and Invariant Second-Moment Code Format (1974)General foundations of high‐dimensional model representations (1999)Moment methods for structural reliability (2001)AKOIS: An adaptive Kriging oriented importance sampling method for structural system reliability analysis (2019)REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis (2019)Recent Advances in Surrogate Modeling Methods for Uncertainty Quantification and Propagation (2022)Subset simulation for structural reliability sensitivity analysis (2008)Reliability engineering (2011)Simulation and the Monte Carlo Method (2016)Structural Reliability Analysis and Prediction (2017)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)Large Sample Properties of Simulations Using Latin Hypercube Sampling (1987)Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)Time-Dependent Reliability Analysis Through Response Surface Method (2017)AK-MCSi: A Kriging-based method to deal with small failure probabilities and time-consuming models (2018)Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Design and Analysis of Computer Experiments (1989)Minimax and maximin distance designs (1990)Experimental Design and Observation for Large Systems (1996)Optimal experimental design and some related control problems (2007)Metamodel based high-fidelity stochastic analysis of composite laminates: A concise review with critical comparative assessment (2017)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Global sensitivity analysis using polynomial chaos expansions (2007)
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 cited
  • 1994Reliability-based optimization in structural engineering550 cited
  • 2011Assessing small failure probabilities by combined subset simulation and Support Vector Machines419 cited
  • 2010A survey on approaches for reliability-based optimization401 cited
  • 2005Reliability-based design sensitivity by efficient simulation330 cited
  • 2004Robust design of structures using optimization methods329 cited
  • 2016A Single-Loop Kriging Surrogate Modeling for Time-Dependent Reliability Analysis325 cited
  • 2013Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method309 cited
  • 1993Bayesian Design and Analysis of Computer Experiments: Use of Derivatives in Surface Prediction299 cited
  • 1991Bayesian design and analysis of computer experiments: Use of derivatives in surface prediction276 cited
  • 2008Uncertainty in Industrial Practice243 cited
  • 2006A direct decoupling approach for efficient reliability-based design optimization197 cited
  • 2007Probabilistic uncertainty analysis by mean-value first order Saddlepoint Approximation185 cited

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  • 1997Reliability-Based Optimization of structural systems182 cited
  • 2018AK-SYSi: an improved adaptive Kriging model for system reliability analysis with multiple failure modes by a refined U learning function150 cited
  • Cited by

    • 2022An ensemble model‐based method for estimating failure probability function with application in reliability‐based optimization29 cited
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    • 2020A novel dual-stage adaptive Kriging method for profust reliability analysis24 cited
    • 2019Bi-Objective Adaptive Kriging for Reliability Analysis with Random and Evidence Variables21 cited
    • 2022Time-dependent reliability analysis method based on ARBIS and Kriging surrogate model18 cited
    • 2023Failure probability function estimation in augmented sample space combined active learning Kriging and adaptive sampling by Voronoi cells18 cited
    • 2022An innovative Bayesian updating method for laminated composite structures under evidence uncertainty16 cited
    • 2022An efficient Kriging model-based importance sampling method for estimating the failure probability-based parameter global sensitivity index with uncertain distribution parameters15 cited
    • 2019Efficient computational method based on AK-MCS and Bayes formula for time-dependent failure probability function15 cited
    • 2022An innovative reliability-based design optimization method by combination of dual-stage adaptive kriging and genetic algorithm14 cited
    • 2020An efficient computational method for estimating failure credibility by combining genetic algorithm and active learning Kriging14 cited
    • 2024Meta model-based and cross entropy-based importance sampling algorithms for efficiently solving system failure probability function13 cited
    • 2025A new fully decoupled strategy for reliability optimization based on adaptive Kriging with improved efficient global optimization and weighted K-means clustering12 cited
    • 2025Two-stage failure probability function estimation method based on improved cross-entropy importance sampling and adaptive Kriging12 cited
    • 2020A novel hypercube-based fuzzy simulation and its combination with adaptive Kriging for estimating failure credibility11 cited
    • 2021Global reliability sensitivity analysis index and its efficient numerical simulation solution in presence of both random and interval hybrid uncertainty11 cited