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Time-variant system reliability analysis method for a small failure probability problem
16 references·16 citing·33 second hopsampled
Time-variant system reliability analysis method for a small failure probability problem (2020)Time-variant system reliability analysis …An active learning reliability method combining Kriging constructed with exploration and exploitation of failure region and subset simulation (2019)An active learning reliabilit…Adaptive kriging-based efficient reliability method for structural systems with multiple failure modes and mixed variables (2019)Adaptive kriging-based effici…Time-Dependent Reliability Analysis Through Response Surface Method (2017)Time-Dependent Reliability An…A new adaptive sequential sampling method to construct surrogate models for efficient reliability analysis (2017)A new adaptive sequential sam…Time-variant reliability assessment through equivalent stochastic process transformation (2016)Time-variant reliability asse…Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation (2016)Assessing small failure proba…A Single-Loop Kriging Surrogate Modeling for Time-Dependent Reliability Analysis (2016)A Single-Loop Kriging Surroga…Mixed Efficient Global Optimization for Time-Dependent Reliability Analysis (2015)Mixed Efficient Global Optimi…Time-dependent reliability analysis with joint upcrossing rates (2013)Time-dependent reliability an…AK-SYS: An adaptation of the AK-MCS method for system reliability (2013)AK-SYS: An adaptation of the …A Nested Extreme Response Surface Approach for Time-Dependent Reliability-Based Design Optimization (2012)A Nested Extreme Response Sur…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…Analytical derivation of the outcrossing rate in time-variant reliability problems (2008)Analytical derivation of the …The PHI2 method: a way to compute time-variant reliability (2003)The PHI2 method: a way to com…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…The geometry of random vibrations and solutions by FORM and SORM (2000)The geometry of random vibrat…Adaptive Kriging-assisted multi-fidelity subset simulation for reliability analysis (2025)Adaptive Kriging-assisted mul…Probability-informed neural network-driven point-evolution kernel density estimation for time-dependent reliability analysis (2024)Probability-informed neural n…Intelligent vectorial surrogate modeling framework for multi-objective reliability estimation of aerospace engineering structural systems (2024)Intelligent vectorial surroga…Adaptive importance sampling approach for structural time-variant reliability analysis (2024)Adaptive importance sampling …A novel active learning Gaussian process modeling-based method for time-dependent reliability analysis considering mixed variables (2024)A novel active learning Gauss…Structural fatigue reliability analysis based on active learning Kriging model (2023)Structural fatigue reliabilit…Constrained Bayesian optimization algorithms for estimating design points in structural reliability analysis (2023)Constrained Bayesian optimiza…Adaptive subset simulation for time-dependent small failure probability incorporating first failure time and single-loop surrogate model (2023)Adaptive subset simulation fo…Structural dynamic reliability analysis: review and prospects (2022)Structural dynamic reliabilit…Small failure probability: principles, progress and perspectives (2022)Small failure probability: pr…An adaptive parallel learning dependent Kriging model for small failure probability problems (2022)An adaptive parallel learning…A single-loop time-variant reliability evaluation via a decoupling strategy and probability distribution reconstruction (2022)A single-loop time-variant re…A nested single-loop Kriging model coupled with subset simulation for time-dependent system reliability analysis (2022)A nested single-loop Kriging …Time and space-variant system reliability analysis through adaptive Kriging and weighted sampling (2021)Time and space-variant system…A single-loop reliability analysis strategy for time-dependent problems with small failure probability (2021)A single-loop reliability ana…A single-loop Kriging coupled with subset simulation for time-dependent reliability analysis (2021)A single-loop Kriging coupled…Simulation and the Monte Carlo Method (1981)The stochastic finite element method: Past, present and future (2008)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)The generalization of Latin hypercube sampling (2015)Simulation and the Monte Carlo Method (2016)Design and Analysis of Computer Experiments (1989)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Methods of structural safety (2006)Stochastic Finite Elements: A Spectral Approach (1991)Structural Reliability Methods (1996)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)The intrinsic random functions and their applications (1973)An improved adaptive kriging-based importance technique for sampling multiple failure regions of low probability (2014)Adaptive approaches in metamodel-based reliability analysis: A review (2020)Active learning for structural reliability: Survey, general framework and benchmark (2022)Reliability analysis—a review and some perspectives (2001)Optimal Discretization of Random Fields (1993)Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Machine learning-based methods in structural reliability analysis: A review (2021)Large Sample Properties of Simulations Using Latin Hypercube Sampling (1987)Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)AK-MCSi: A Kriging-based method to deal with small failure probabilities and time-consuming models (2018)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)Structural reliability under combined random load sequences (1978)A general failure-pursuing sampling framework for surrogate-based reliability analysis (2018)Real-time estimation error-guided active learning Kriging method for time-dependent reliability analysis (2019)Modeling, analysis, and optimization under uncertainties: a review (2021)Structural Reliability Analysis and Prediction (2017)REIF: A novel active-learning function toward adaptive Kriging surrogate models for structural reliability analysis (2019)A review and assessment of importance sampling methods for reliability analysis (2022)
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References

  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 cited
  • 2003The PHI2 method: a way to compute time-variant reliability460 cited
  • 2016Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation412 cited
  • 2008Analytical derivation of the outcrossing rate in time-variant reliability problems326 cited
  • 2016A Single-Loop Kriging Surrogate Modeling for Time-Dependent Reliability Analysis325 cited
  • 2017A new adaptive sequential sampling method to construct surrogate models for efficient reliability analysis317 cited
  • 2013AK-SYS: An adaptation of the AK-MCS method for system reliability277 cited
  • 2017Time-Dependent Reliability Analysis Through Response Surface Method244 cited
  • 2012A Nested Extreme Response Surface Approach for Time-Dependent Reliability-Based Design Optimization241 cited
  • 2000The geometry of random vibrations and solutions by FORM and SORM238 cited
  • 2013Time-dependent reliability analysis with joint upcrossing rates234 cited
  • 2015Mixed Efficient Global Optimization for Time-Dependent Reliability Analysis217 cited
  • 2019An active learning reliability method combining Kriging constructed with exploration and exploitation of failure region and subset simulation

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153 cited
  • 2019Adaptive kriging-based efficient reliability method for structural systems with multiple failure modes and mixed variables150 cited
  • 2016Time-variant reliability assessment through equivalent stochastic process transformation140 cited
  • Cited by

    • 2022Structural dynamic reliability analysis: review and prospects71 cited
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    • 2023Structural fatigue reliability analysis based on active learning Kriging model68 cited
    • 2021Time and space-variant system reliability analysis through adaptive Kriging and weighted sampling54 cited
    • 2022An adaptive parallel learning dependent Kriging model for small failure probability problems52 cited
    • 2023Adaptive subset simulation for time-dependent small failure probability incorporating first failure time and single-loop surrogate model43 cited
    • 2024A novel active learning Gaussian process modeling-based method for time-dependent reliability analysis considering mixed variables40 cited
    • 2021A single-loop reliability analysis strategy for time-dependent problems with small failure probability39 cited
    • 2022A nested single-loop Kriging model coupled with subset simulation for time-dependent system reliability analysis33 cited
    • 2022Small failure probability: principles, progress and perspectives31 cited
    • 2023Constrained Bayesian optimization algorithms for estimating design points in structural reliability analysis30 cited
    • 2022A single-loop time-variant reliability evaluation via a decoupling strategy and probability distribution reconstruction30 cited
    • 2024Probability-informed neural network-driven point-evolution kernel density estimation for time-dependent reliability analysis26 cited
    • 2024Adaptive importance sampling approach for structural time-variant reliability analysis26 cited
    • 2024Intelligent vectorial surrogate modeling framework for multi-objective reliability estimation of aerospace engineering structural systems24 cited
    • 2025Adaptive Kriging-assisted multi-fidelity subset simulation for reliability analysis24 cited