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Reliability-based optimization using bridge importance sampling
16 references·16 citing·39 second hopsampled
Reliability-based optimization using bridge importance sampling (2013)Reliability-based optimization using brid…Computational methods in optimization considering uncertainties – An overview (2008)Computational methods in opti…Robust optimization – A comprehensive survey (2007)Robust optimization – A compr…Application of subset simulation methods to reliability benchmark problems (2006)Application of subset simulat…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 design optimization for crashworthiness of vehicle side impact (2004)Reliability-based design opti…Reliability-based optimal structural design by the decoupling approach (2001)Reliability-based optimal str…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…A new adaptive importance sampling scheme for reliability calculations (1999)A new adaptive importance sam…Quick simulation: a review of importance sampling techniques in communications systems (1997)Quick simulation: a review of…Structural Reliability Methods (1996)Structural Reliability MethodsReliability-based optimization in structural engineering (1994)Reliability-based optimizatio…Introduction to Optimum Design (1990)Introduction to Optimum DesignAdaptive sampling — an iterative fast Monte Carlo procedure (1988)Adaptive sampling — an iterat…A critical appraisal of methods to determine failure probabilities (1987)A critical appraisal of metho…Safety and the Probability of Structural Failure (1956)Safety and the Probability of…Sequential and adaptive probabilistic integration for structural reliability analysis (2025)Sequential and adaptive proba…Reliability-based design optimization incorporating extended Optimal Uncertainty Quantification (2025)Reliability-based design opti…A stratified beta-sphere sampling method combined with important sampling and active learning for rare event analysis (2024)A stratified beta-sphere samp…A sequential sampling-based Bayesian numerical method for reliability-based design optimization (2024)A sequential sampling-based B…Variance-based reliability sensitivity with dependent inputs using failure samples (2023)Variance-based reliability se…Relaxation-based importance sampling for structural reliability analysis (2023)Relaxation-based importance s…Direct probability integral method for reliability sensitivity analysis and optimal design of structures (2023)Direct probability integral m…Application of an improved sequential importance sampling for structural reliability analysis of aeronautical hydraulic pipeline with multiple stochastic responses (2022)Application of an improved se…Resampling method for reliability-based design optimization based on thermodynamic integration and parallel tempering (2021)Resampling method for reliabi…Failure probability estimation of a class of series systems by multidomain Line Sampling (2021)Failure probability estimatio…Decoupled reliability-based optimization using Markov chain Monte Carlo in augmented space (2021)Decoupled reliability-based o…Reliability and reliability sensitivity analysis of structure by combining adaptive linked importance sampling and Kriging reliability method (2020)Reliability and reliability s…A Novel Algorithm for Structural Reliability Analysis Based on Finite Step Length and Armijo Line Search (2019)A Novel Algorithm for Structu…A framework for global reliability sensitivity analysis in the presence of multi-uncertainty (2019)A framework for global reliab…Application of Latin Hypercube Sampling Based Kriging Surrogate Models in Reliability Assessment (2015)Application of Latin Hypercub…Development of a GA-based method for reliability-based optimization of structures with discrete and continuous design variables using OpenSees and Tcl (2014)Development of a GA-based met…Stochastic Finite Elements: A Spectral Approach (1991)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)A Chebyshev interval method for nonlinear dynamic systems under uncertainty (2012)Probability-interval hybrid uncertainty analysis for structures with both aleatory and epistemic uncertainties: a review (2017)A Stochastic Approximation Method (1951)Design and Analysis of Computer Experiments (1989)Fuzzy sets (1996)Robust possibilistic programming for socially responsible supply chain network design: A new approach (2012)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)Optimization algorithms for structural reliability (1991)A critical appraisal of reliability estimation procedures for high dimensions (2004)Metamodel-based importance sampling for structural reliability analysis (2013)MCMC algorithms for Subset Simulation (2015)Small sample sensitivity analysis techniques for computer models.with an application to risk assessment (1980)A benchmark study on importance sampling techniques in structural reliability (1993)Review and application of Artificial Neural Networks models in reliability analysis of steel structures (2014)Applied Statistical Decision Theory (1962)Probability, statistics, and decision for civil engineers (1970)Structural reliability under combined random load sequences (1978)Benchmark study of numerical methods for reliability-based design optimization (2009)Reliability-based design optimization using kriging surrogates and subset simulation (2011)Narrow Reliability Bounds for Structural Systems (1979)A survey on approaches for reliability-based optimization (2010)A new learning function for Kriging and its applications to solve reliability problems in engineering (2015)Response Surface Methodology (1996)Response Surface Methodology: Process and Product Optimization Using Designed Experiments (1996)Adaptive probability analysis using an enhanced hybrid mean value method (2004)Enriched Performance Measure Approach for Reliability-Based Design Optimization. (2005)Efficient surrogate models for reliability analysis of systems with multiple failure modes (2011)Probability Concepts in Engineering Planning and Design (1975)Global sensitivity analysis using polynomial chaos expansions (2007)Aleatory or epistemic? Does it matter? (2008)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Robust Design: An Overview (2006)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual. (2010)
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References

  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 1996Structural Reliability Methods2,192 cited
  • 2007Robust optimization – A comprehensive survey1,603 cited
  • 1990Introduction to Optimum Design787 cited
  • 2008Computational methods in optimization considering uncertainties – An overview573 cited
  • 1999A new adaptive importance sampling scheme for reliability calculations564 cited
  • 1994Reliability-based optimization in structural engineering550 cited
  • 1988Adaptive sampling — an iterative fast Monte Carlo procedure464 cited
  • 1987A critical appraisal of methods to determine failure probabilities436 cited
  • 2004Reliability-based design optimization for crashworthiness of vehicle side impact369 cited
  • 2005Reliability-based design sensitivity by efficient simulation330 cited
  • 2004Robust design of structures using optimization methods329 cited
  • 1956Safety and the Probability of Structural Failure304 cited
  • 1997Quick simulation: a review of importance sampling techniques in communications systems292 cited
  • 2006Application of subset simulation methods to reliability benchmark problems285 cited

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  • 2001Reliability-based optimal structural design by the decoupling approach241 cited
  • Cited by

    • 2014Development of a GA-based method for reliability-based optimization of structures with discrete and continuous design variables using OpenSees and Tcl43 cited
    • 2021Failure probability estimation of a class of series systems by multidomain Line Sampling42 cited
    • 2024A sequential sampling-based Bayesian numerical method for reliability-based design optimization38 cited
    • 2020Reliability and reliability sensitivity analysis of structure by combining adaptive linked importance sampling and Kriging reliability method37 cited
    • 2021Decoupled reliability-based optimization using Markov chain Monte Carlo in augmented space32 cited
    • 2023Relaxation-based importance sampling for structural reliability analysis27 cited
    • 2019A framework for global reliability sensitivity analysis in the presence of multi-uncertainty27 cited
    • 2019A Novel Algorithm for Structural Reliability Analysis Based on Finite Step Length and Armijo Line Search24 cited
    • 2015Application of Latin Hypercube Sampling Based Kriging Surrogate Models in Reliability Assessment22 cited
    • 2023Direct probability integral method for reliability sensitivity analysis and optimal design of structures20 cited
    • 2025Sequential and adaptive probabilistic integration for structural reliability analysis17 cited
    • 2024A stratified beta-sphere sampling method combined with important sampling and active learning for rare event analysis12 cited
    • 2022Application of an improved sequential importance sampling for structural reliability analysis of aeronautical hydraulic pipeline with multiple stochastic responses11 cited
    • 2023Variance-based reliability sensitivity with dependent inputs using failure samples11 cited
    • 2021Resampling method for reliability-based design optimization based on thermodynamic integration and parallel tempering10 cited
    • 2025Reliability-based design optimization incorporating extended Optimal Uncertainty Quantification9 cited