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An effective Kriging-based approximation for structural reliability analysis with random and interval variables
16 references·8 citing·37 second hop
An effective Kriging-based approximation for structural reliability analysis with random and interval variables (2021)An effective Kriging-based approximation …REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis (2019)REIF: A novel active-learning…Probability-interval hybrid uncertainty analysis for structures with both aleatory and epistemic uncertainties: a review (2017)Probability-interval hybrid u…A Sequential Kriging reliability analysis method with characteristics of adaptive sampling regions and parallelizability (2016)A Sequential Kriging reliabil…An active learning kriging model for hybrid reliability analysis with both random and interval variables (2014)An active learning kriging mo…Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method (2013)Structural reliability analys…A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)A combined Importance Samplin…Mixed aleatory-epistemic uncertainty quantification with stochastic expansions and optimization-based interval estimation (2011)Mixed aleatory-epistemic unce…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…Unified Uncertainty Analysis by the First Order Reliability Method (2008)Unified Uncertainty Analysis …Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)Efficient Global Reliability …Aleatory or epistemic? Does it matter? (2008)Aleatory or epistemic? Does i…Methods of structural safety (2006)Methods of structural safetyProbabilistic Sensitivity Analysis of Complex Models: A Bayesian Approach (2004)Probabilistic Sensitivity Ana…Structural Reliability Methods (1996)Structural Reliability MethodsA fast and efficient response surface approach for structural reliability problems (1990)A fast and efficient response…Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…Multi-fidelity Kriging structural reliability analysis with the fusion of non-hierarchical low-fidelity models (2025)Multi-fidelity Kriging struct…A hyperspherical cap area integral method for reliability analysis (2024)A hyperspherical cap area int…Hybrid reliability analysis with incomplete interval data based on adaptive Kriging (2023)Hybrid reliability analysis w…Failure probability function estimation in augmented sample space combined active learning Kriging and adaptive sampling by Voronoi cells (2023)Failure probability function …Uncertainty design and optimization of a hybrid rocket motor with mixed random-interval uncertainties (2022)Uncertainty design and optimi…Construction of adaptive Kriging metamodel for failure probability estimation considering the uncertainties of distribution parameters (2022)Construction of adaptive Krig…A dimension-wise analysis driven active learning paired-Kriging (DWA-ALK) method for the hybrid reliability analysis (2022)A dimension-wise analysis dri…An efficient hybrid reliability analysis method based on active learning Kriging model and multimodal‐optimization‐based importance sampling (2021)An efficient hybrid reliabili…Stochastic Finite Elements: A Spectral Approach (1991)Kriging metamodeling in simulation: A review (2007)Metamodel-based importance sampling for structural reliability analysis (2013)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)A new look at the response surface approach for reliability analysis (1993)Response Surface Methodology (1996)Application of kriging method to structural reliability problems (2004)Structural reliability under combined random load sequences (1978)Estimation of small failure probabilities in high dimensions by subset simulation (2001)A new learning function for Kriging and its applications to solve reliability problems in engineering (2015)Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation (2016)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)Recent Advances in Surrogate Modeling Methods for Uncertainty Quantification and Propagation (2022)Designs for Computer Experiments (1989)Probability, reliability and statistical methods in engineering design (1999)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. 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References

  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 2008Aleatory or epistemic? Does it matter?2,450 cited
  • 1996Structural Reliability Methods2,192 cited
  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 cited
  • 2006Methods of structural safety1,835 cited
  • 1990A fast and efficient response surface approach for structural reliability problems1,198 cited
  • 2008Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions1,141 cited
  • 2004Probabilistic Sensitivity Analysis of Complex Models: A Bayesian Approach1,085 cited
  • 2012A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models692 cited
  • 2013Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method309 cited
  • 2019REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis297 cited
  • 2008Unified Uncertainty Analysis by the First Order Reliability Method249 cited
  • 2014An active learning kriging model for hybrid reliability analysis with both random and interval variables213 cited
  • 2011Mixed aleatory-epistemic uncertainty quantification with stochastic expansions and optimization-based interval estimation

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192 cited
  • 2016A Sequential Kriging reliability analysis method with characteristics of adaptive sampling regions and parallelizability188 cited
  • 2017Probability-interval hybrid uncertainty analysis for structures with both aleatory and epistemic uncertainties: a review186 cited
  • Cited by

    • 2022Uncertainty design and optimization of a hybrid rocket motor with mixed random-interval uncertainties26 cited
    • 2023Hybrid reliability analysis with incomplete interval data based on adaptive Kriging23 cited
    • 2023Failure probability function estimation in augmented sample space combined active learning Kriging and adaptive sampling by Voronoi cells18 cited
    • 2024A hyperspherical cap area integral method for reliability analysis15 cited
    • 2021An efficient hybrid reliability analysis method based on active learning Kriging model and multimodal‐optimization‐based importance sampling14 cited
    • 2022Construction of adaptive Kriging metamodel for failure probability estimation considering the uncertainties of distribution parameters12 cited
    • 2025Multi-fidelity Kriging structural reliability analysis with the fusion of non-hierarchical low-fidelity models11 cited
    • 2022A dimension-wise analysis driven active learning paired-Kriging (DWA-ALK) method for the hybrid reliability analysis11 cited