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Robust design with arbitrary distributions using Gauss-type quadrature formula
16 references·16 citing·31 second hopsampled
Robust design with arbitrary distributions using Gauss-type quadrature formula (2008)Robust design with arbitrary distribution…A comparative study of uncertainty propagation methods for black-box-type problems (2008)A comparative study of uncert…Dimension reduction method for reliability-based robust design optimization (2007)Dimension reduction method fo…A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)A univariate dimension-reduct…A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)A generalized dimension‐reduc…Multiobjective robust design using physical programming (2002)Multiobjective robust design …Efficient statistical tolerance analysis for general distributions using three-point information (2002)Efficient statistical toleran…Robust optimization considering tolerances of design variables (2001)Robust optimization consideri…Moment methods for structural reliability (2001)Moment methods for structural…Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design (1999)Towards a Better Understandin…An efficient point estimate method for probabilistic analysis (1998)An efficient point estimate m…A Procedure for Robust Design: Minimizing Variations Caused by Noise Factors and Control Factors (1996)A Procedure for Robust Design…A General Approach for Robust Optimal Design (1993)A General Approach for Robust…Quality Engineering Using Robust Design (1991)Quality Engineering Using Rob…Quality Engineering Using Robust Design (1991)Quality Engineering Using Rob…Probabilistic estimates for multivariate analyses (1989)Probabilistic estimates for m…Performance analysis design (1978)Performance analysis designAdaptive decoupled robust design optimization (2023)Adaptive decoupled robust des…Analytical robust design optimization based on a hybrid surrogate model by combining polynomial chaos expansion and Gaussian kernel (2022)Analytical robust design opti…Robust design optimization under dependent random variables by a generalized polynomial chaos expansion (2021)Robust design optimization un…Reliability based design optimization using response surface augmented moment method (2019)Reliability based design opti…Review of Robust Aerodynamic Design Optimization for Air Vehicles (2018)Review of Robust Aerodynamic …A surrogate based multi-fidelity approach for robust design optimization (2017)A surrogate based multi-fidel…Robust optimization of structural dynamic characteristics based on adaptive Kriging model and CNSGA (2014)Robust optimization of struct…Extended Monte Carlo Simulation for Parametric Global Sensitivity Analysis and Optimization (2014)Extended Monte Carlo Simulati…Robust design optimization by polynomial dimensional decomposition (2013)Robust design optimization by…An adaptive dimension decomposition and reselection method for reliability analysis (2012)An adaptive dimension decompo…A generalized uncertainty propagation criterion from benchmark studies of microstructured material systems (2012)A generalized uncertainty pro…Sampling-Based Stochastic Sensitivity Analysis Using Score Functions for RBDO Problems With Correlated Random Variables (2011)Sampling-Based Stochastic Sen…Practical Robust Design Optimization Using Evolutionary Algorithms (2011)Practical Robust Design Optim…Novel Uncertainty Propagation Method for Robust Aerodynamic Design (2011)Novel Uncertainty Propagation…An asymmetric dimension-adaptive tensor-product method for reliability analysis (2011)An asymmetric dimension-adapt…A modified Benders decomposition method for efficient robust optimization under interval uncertainty (2011)A modified Benders decomposit…Exact and Invariant Second-Moment Code Format (1974)A fast and efficient response surface approach for structural reliability problems (1990)Methods of structural safety (2006)Efficient Spreadsheet Algorithm for First-Order Reliability Method (2007)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method (2013)Signal-to-Noise Ratios, Performance Criteria, and Transformations (1988)Taguchi's Parameter Design: A Panel Discussion (1992)Trends in Multiple Criteria Decision Analysis (2010)Structural reliability under combined random load sequences (1978)Stochastic Finite Elements: A Spectral Approach (1991)Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems (2010)Modeling, analysis, and optimization under uncertainties: a review (2021)Recent Advances in Surrogate Modeling Methods for Uncertainty Quantification and Propagation (2022)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 survey on approaches for reliability-based optimization (2010)Structural Reliability Analysis and Prediction (2017)Statistics for experimenters. An introduction to design, data analysis, and model building. (1978)Response Surface Methodology: A Retrospective and Literature Survey (2004)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Applications of Statistics to Industrial Experimentation (1976)Statistics for Experimenters: An Introduction to Design, Data Analysis and Model Building. (1979)Robust Design for Multiscale and Multidisciplinary Applications (2006)THE INTERNATIONAL JOURNAL OF ORGANIZATIONAL INNOVATION (2011)Multi-fidelity modelling via recursive co-kriging and Gaussian–Markov random fields (2015)The use of metamodeling techniques for optimization under uncertainty (2003)A review of robust optimal design and its application in dynamics (2004)An Integrated Framework for Optimization Under Uncertainty Using Inverse Reliability Strategy (2004)Nataf transformation based point estimate method (2008)A Moment Approach to Positioning Accuracy Reliability Analysis for Industrial Robots (2019)
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References

  • 1991Quality Engineering Using Robust Design3,458 cited
  • 2001Moment methods for structural reliability633 cited
  • 2004A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics568 cited
  • 1996A Procedure for Robust Design: Minimizing Variations Caused by Noise Factors and Control Factors566 cited
  • 1998An efficient point estimate method for probabilistic analysis508 cited
  • 2004A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics441 cited
  • 1999Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design371 cited
  • 1991Quality Engineering Using Robust Design353 cited
  • 1993A General Approach for Robust Optimal Design351 cited
  • 2008A comparative study of uncertainty propagation methods for black-box-type problems331 cited
  • 2001Robust optimization considering tolerances of design variables288 cited
  • 1989Probabilistic estimates for multivariate analyses227 cited
  • 1978Performance analysis design201 cited
  • 2007Dimension reduction method for reliability-based robust design optimization196 cited
  • 2002Multiobjective robust design using physical programming

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188 cited
  • 2002Efficient statistical tolerance analysis for general distributions using three-point information165 cited
  • Cited by

    • 2011Sampling-Based Stochastic Sensitivity Analysis Using Score Functions for RBDO Problems With Correlated Random Variables83 cited
    • 2014Extended Monte Carlo Simulation for Parametric Global Sensitivity Analysis and Optimization68 cited
    • 2011Novel Uncertainty Propagation Method for Robust Aerodynamic Design65 cited
    • 2017A surrogate based multi-fidelity approach for robust design optimization61 cited
    • 2018Review of Robust Aerodynamic Design Optimization for Air Vehicles51 cited
    • 2011A modified Benders decomposition method for efficient robust optimization under interval uncertainty47 cited
    • 2014Robust optimization of structural dynamic characteristics based on adaptive Kriging model and CNSGA42 cited
    • 2013Robust design optimization by polynomial dimensional decomposition33 cited
    • 2012A generalized uncertainty propagation criterion from benchmark studies of microstructured material systems27 cited
    • 2011Practical Robust Design Optimization Using Evolutionary Algorithms27 cited
    • 2011An asymmetric dimension-adaptive tensor-product method for reliability analysis24 cited
    • 2021Robust design optimization under dependent random variables by a generalized polynomial chaos expansion21 cited
    • 2022Analytical robust design optimization based on a hybrid surrogate model by combining polynomial chaos expansion and Gaussian kernel18 cited
    • 2023Adaptive decoupled robust design optimization17 cited
    • 2012An adaptive dimension decomposition and reselection method for reliability analysis17 cited
    • 2019Reliability based design optimization using response surface augmented moment method17 cited