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Benchmark study on reliability estimation in higher dimensions of structural systems – An overview
6 references·16 citing·32 second hop
Benchmark study on reliability estimation in higher dimensions of structural systems – An overview (2006)Benchmark study on reliability estimation…Application of subset simulation methods to reliability benchmark problems (2006)Application of subset simulat…Application of line sampling simulation method to reliability benchmark problems (2006)Application of line sampling …Reliability of structures in high dimensions, part I: algorithms and applications (2004)Reliability of structures in …A critical appraisal of reliability estimation procedures for high dimensions (2004)A critical appraisal of relia…First excursion probabilities for linear systems by very efficient importance sampling (2001)First excursion probabilities…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…Modeling, analysis, and optimization under uncertainties: a review (2021)Modeling, analysis, and optim…Engineering analysis with probability boxes: A review on computational methods (2021)Engineering analysis with pro…A sampling-based method for high-dimensional time-variant reliability analysis (2019)A sampling-based method for h…Practical Application of the Stochastic Finite Element Method (2014)Practical Application of the …A generalized Subset Simulation approach for estimating small failure probabilities of multiple stochastic responses (2014)A generalized Subset Simulati…Reliability assessment in structural dynamics (2013)Reliability assessment in str…Accelerated subset simulation with neural networks for reliability analysis (2012)Accelerated subset simulation…Reliability engineering (2011)Reliability engineeringBayesian post-processor and other enhancements of Subset Simulation for estimating failure probabilities in high dimensions (2011)Bayesian post-processor and o…Implementing advanced Monte Carlo simulation under spreadsheet environment (2010)Implementing advanced Monte C…Uncertain linear systems in dynamics: Retrospective and recent developments by stochastic approaches (2009)Uncertain linear systems in d…The role of the design point for calculating failure probabilities in view of dimensionality and structural nonlinearities (2009)The role of the design point …Monte Carlo Methods for Estimating the Extreme Response of Dynamical Systems (2008)Monte Carlo Methods for Estim…On the treatment of uncertainties in structural mechanics and analysis (2006)On the treatment of uncertain…Local estimation of failure probability function and its confidence interval with maximum entropy principle (2006)Local estimation of failure p…Developments in stochastic structural mechanics (2006)Developments in stochastic st…Reliability analysis—a review and some perspectives (2001)On Latin hypercube sampling for structural reliability analysis (2002)A survey on approaches for reliability-based optimization (2010)Assessing small failure probabilities by combined subset simulation and Support Vector Machines (2011)MCMC algorithms for Subset Simulation (2015)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)A new adaptive importance sampling scheme for reliability calculations (1999)Subset simulation for structural reliability sensitivity analysis (2008)Active learning for structural reliability: Survey, general framework and benchmark (2022)Adaptive sampling — an iterative fast Monte Carlo procedure (1988)An efficient reliability method combining adaptive importance sampling and Kriging metamodel (2014)Rare-event probability estimation with adaptive support vector regression surrogates (2016)An active learning reliability method combining Kriging constructed with exploration and exploitation of failure region and subset simulation (2019)Structural Reliability Analysis and Prediction (2017)An efficient Kriging-based subset simulation method for hybrid reliability analysis under random and interval variables with small failure probability (2019)Probabilistic Theory of Structural Dynamics (1976)Dynamic response and reliability analysis of non-linear stochastic structures (2004)Stochastic Finite Elements: A Spectral Approach (1991)Stochastic modeling of uncertainties in computational structural dynamics—Recent theoretical advances (2011)Stochastic Models of Uncertainties in Computational Mechanics (2012)Simulation of non-stationary non-Gaussian random fields from sparse measurements using Bayesian compressive sampling and Karhunen-Loève expansion (2019)Structural Reliability — Analysis and Prediction (2001)Modeling and analysis of composite laminates in the presence of uncertainties (2018)A systems representation of the Circular Economy: Transition scenarios in the electrical and electronic equipment (EEE) industry (2020)A Comprehensive Review of Quality Control and Reliability Research in Micro–Nano Technology (2025)Surrogate-assisted reliability-based design optimization: a survey and a unified modular framework (2019)Hybrid enhanced Monte Carlo simulation coupled with advanced machine learning approach for accurate and efficient structural reliability analysis (2021)Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review (2023)
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References

  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 2004A critical appraisal of reliability estimation procedures for high dimensions476 cited
  • 2004Reliability of structures in high dimensions, part I: algorithms and applications370 cited
  • 2006Application of line sampling simulation method to reliability benchmark problems292 cited
  • 2006Application of subset simulation methods to reliability benchmark problems285 cited
  • 2001First excursion probabilities for linear systems by very efficient importance sampling282 cited

Cited by

  • 2011Reliability engineering215 cited
  • 2012Accelerated subset simulation with neural networks for reliability analysis213 cited
  • 2011Bayesian post-processor and other enhancements of Subset Simulation for estimating failure probabilities in high dimensions213 cited
  • 2006On the treatment of uncertainties in structural mechanics and analysis184 cited
  • 2021Modeling, analysis, and optimization under uncertainties: a review166 cited
  • 2008Monte Carlo Methods for Estimating the Extreme Response of Dynamical Systems157 cited
  • 2014Practical Application of the Stochastic Finite Element Method144 cited
  • 2021Engineering analysis with probability boxes: A review on computational methods

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142 cited
  • 2006Local estimation of failure probability function and its confidence interval with maximum entropy principle129 cited
  • 2006Developments in stochastic structural mechanics123 cited
  • 2009The role of the design point for calculating failure probabilities in view of dimensionality and structural nonlinearities112 cited
  • 2013Reliability assessment in structural dynamics102 cited
  • 2010Implementing advanced Monte Carlo simulation under spreadsheet environment96 cited
  • 2009Uncertain linear systems in dynamics: Retrospective and recent developments by stochastic approaches93 cited
  • 2014A generalized Subset Simulation approach for estimating small failure probabilities of multiple stochastic responses93 cited
  • 2019A sampling-based method for high-dimensional time-variant reliability analysis87 cited