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A univariate decomposition method for higher-order reliability analysis and design optimization
16 references·7 citing·26 second hop
A univariate decomposition method for higher-order reliability analysis and design optimization (2006)A univariate decomposition method for hig…Methods of structural safety (2006)Methods of structural safetySequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Sequential Optimization and R…Hybrid Analysis Method for Reliability-Based Design Optimization (2003)Hybrid Analysis Method for Re…On Latin hypercube sampling for structural reliability analysis (2002)On Latin hypercube sampling f…Reliability analysis—a review and some perspectives (2001)Reliability analysis—a review…Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A Comparison of Three Methods…A New Study on Reliability-Based Design Optimization (1999)A New Study on Reliability-Ba…Structural Reliability Methods (1996)Structural Reliability MethodsA new look at the response surface approach for reliability analysis (1993)A new look at the response su…Optimization algorithms for structural reliability (1991)Optimization algorithms for s…A fast and efficient response surface approach for structural reliability problems (1990)A fast and efficient response…Response‐Surface Approach for Reliability Analysis (1989)Response‐Surface Approach for…Second‐Order Reliability Approximations (1987)Second‐Order Reliability Appr…Large Sample Properties of Simulations Using Latin Hypercube Sampling (1987)Large Sample Properties of Si…Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…Accuracy improvement of the most probable point‐based dimension reduction method using the hessian matrix (2016)Accuracy improvement of the m…A novel reliability evaluation method for large engineering systems (2016)A novel reliability evaluatio…Reliability Analysis (2015)Reliability AnalysisModified Bayesian Kriging for noisy response problems and Bayesian confidence-based reliability-based design optimization (2014)Modified Bayesian Kriging for…Sampling-Based RBDO Using the Dynamic Kriging (D-Kriging) Method and Stochastic Sensitivity Analysis (2010)Sampling-Based RBDO Using the…Response Surface Method Using Sequential Sampling for Reliability-Based Design Optimization (2009)Response Surface Method Using…Reduction of Ordering Effect in Reliability-Based Design Optimizatioin Using Dimension Reduction Method (2009)Reduction of Ordering Effect …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)Response Surface Methodology (1996)Moment methods for structural reliability (2001)Application of kriging method to structural reliability problems (2004)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A critical appraisal of reliability estimation procedures for high dimensions (2004)Life-cycle performance, management, and optimisation of structural systems under uncertainty: accomplishments and challenges (2010)Quality Engineering Using Robust Design (1991)Computational methods in optimization considering uncertainties – An overview (2008)Structural Reliability Analysis and Prediction (2017)Probability Concepts in Engineering Planning and Design (1975)Structural reliability under combined random load sequences (1978)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)Narrow Reliability Bounds for Structural Systems (1979)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)A review of techniques for parameter sensitivity analysis of environmental models (1994)Importance measures in global sensitivity analysis of nonlinear models (1996)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual. (2010)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)
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References

  • 2000A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code8,233 cited
  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 1987Large Sample Properties of Simulations Using Latin Hypercube Sampling2,483 cited
  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 1996Structural Reliability Methods2,192 cited
  • 2006Methods of structural safety1,835 cited
  • 1990A fast and efficient response surface approach for structural reliability problems1,198 cited
  • 2004Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design1,106 cited
  • 1999A New Study on Reliability-Based Design Optimization988 cited
  • 2002On Latin hypercube sampling for structural reliability analysis798 cited
  • 2001Reliability analysis—a review and some perspectives775 cited
  • 1993A new look at the response surface approach for reliability analysis733 cited
  • 1991Optimization algorithms for structural reliability644 cited
  • 1989Response‐Surface Approach for Reliability Analysis626 cited
  • 2003Hybrid Analysis Method for Reliability-Based Design Optimization

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613 cited
  • 1987Second‐Order Reliability Approximations583 cited
  • Cited by

    • 2009Response Surface Method Using Sequential Sampling for Reliability-Based Design Optimization22 cited
    • 2009Reduction of Ordering Effect in Reliability-Based Design Optimizatioin Using Dimension Reduction Method22 cited
    • 2016A novel reliability evaluation method for large engineering systems16 cited
    • 2010Sampling-Based RBDO Using the Dynamic Kriging (D-Kriging) Method and Stochastic Sensitivity Analysis15 cited
    • 2016Accuracy improvement of the most probable point‐based dimension reduction method using the hessian matrix15 cited
    • 2014Modified Bayesian Kriging for noisy response problems and Bayesian confidence-based reliability-based design optimization13 cited
    • 2015Reliability Analysis12 cited