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Reliability-based design optimization: a state-of-the-art review of its methodologies, applications, and challenges
16 references·2 citing·29 second hop
Reliability-based design optimization: a state-of-the-art review of its methodologies, applications, and challenges (2024)Reliability-based design optimization: a …Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Review of uncertainty-based m…AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)AK-MCS: An active learning re…Benchmark study of numerical methods for reliability-based design optimization (2009)Benchmark study of numerical …Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Sequential Optimization and R…Reliability of structures in high dimensions, part I: algorithms and applications (2004)Reliability of structures in …A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)A univariate dimension-reduct…The PHI2 method: a way to compute time-variant reliability (2003)The PHI2 method: a way to com…Hybrid Analysis Method for Reliability-Based Design Optimization (2003)Hybrid Analysis Method for Re…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…A New Study on Reliability-Based Design Optimization (1999)A New Study on Reliability-Ba…A new adaptive importance sampling scheme for reliability calculations (1999)A new adaptive importance sam…Reliability-based optimization in structural engineering (1994)Reliability-based optimizatio…Optimal Discretization of Random Fields (1993)Optimal Discretization of Ran…Structural reliability under combined random load sequences (1978)Structural reliability under …Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…A non-probabilistic reliability-based design optimization method via dimensional decomposition-aided Chebyshev metamodel (2025)A non-probabilistic reliabili…A hybrid single-loop approach combining the target beta-hypersphere sampling and active learning Kriging for reliability-based design optimization (2025)A hybrid single-loop approach…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)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)A 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)A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)A survey on approaches for reliability-based optimization (2010)Structural Reliability under Incomplete Probability Information (1986)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes (2001)Methods of structural safety (2006)Robust Design: An Overview (2006)Computational methods in optimization considering uncertainties – An overview (2008)Quality Engineering Using Robust Design (1991)Structural Reliability Analysis and Prediction (2017)Narrow Reliability Bounds for Structural Systems (1979)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Global sensitivity analysis using polynomial chaos expansions (2007)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)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

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 1978Structural reliability under combined random load sequences2,229 cited
  • 2011AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation2,048 cited
  • 2004Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design1,106 cited
  • 1999A New Study on Reliability-Based Design Optimization988 cited
  • 1993Optimal Discretization of Random Fields728 cited
  • 2003Hybrid Analysis Method for Reliability-Based Design Optimization613 cited
  • 2004A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics568 cited
  • 1999A new adaptive importance sampling scheme for reliability calculations564 cited
  • 1994Reliability-based optimization in structural engineering550 cited
  • 2011Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles516 cited
  • 2003The PHI2 method: a way to compute time-variant reliability460 cited
  • 2009

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Benchmark study of numerical methods for reliability-based design optimization
453 cited
  • 2004Reliability of structures in high dimensions, part I: algorithms and applications370 cited
  • Cited by

    • 2025A hybrid single-loop approach combining the target beta-hypersphere sampling and active learning Kriging for reliability-based design optimization22 cited
    • 2025A non-probabilistic reliability-based design optimization method via dimensional decomposition-aided Chebyshev metamodel19 cited