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Robust design optimization under dependent random variables by a generalized polynomial chaos expansion
16 references·3 citing·39 second hop
Robust design optimization under dependent random variables by a generalized polynomial chaos expansion (2021)Robust design optimization under dependen…A Critical Review of Surrogate Assisted Robust Design Optimization (2017)A Critical Review of Surrogat…Sampling-Based Stochastic Sensitivity Analysis Using Score Functions for RBDO Problems With Correlated Random Variables (2011)Sampling-Based Stochastic Sen…Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Review of uncertainty-based m…Stochastic sensitivity analysis by dimensional decomposition and score functions (2008)Stochastic sensitivity analys…Robust design with arbitrary distributions using Gauss-type quadrature formula (2008)Robust design with arbitrary …Reliability-based design optimization of problems with correlated input variables using a Gaussian Copula (2008)Reliability-based design opti…Robust Design: An Overview (2006)Robust Design: An OverviewAnalytical robustness assessment for robust design (2006)Analytical robustness assessm…A Methodology for Trading-Off Performance and Robustness Under Uncertainty (2005)A Methodology for Trading-Off…The use of metamodeling techniques for optimization under uncertainty (2003)The use of metamodeling techn…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design (1999)Towards a Better Understandin…A Procedure for Robust Design: Minimizing Variations Caused by Noise Factors and Control Factors (1996)A Procedure for Robust Design…A ROBUST OPTIMIZATION PROCEDURE WITH VARIATIONS ON DESIGN VARIABLES AND CONSTRAINTS (1995)A ROBUST OPTIMIZATION PROCEDU…Structural design under bounded uncertainty—Optimization with anti-optimization (1994)Structural design under bound…Taguchi on Robust Technology Development (1993)Taguchi on Robust Technology …Analytical robust design optimization for hybrid design variables: An active-learning methodology based on polynomial chaos Kriging (2024)Analytical robust design opti…Analytical robust design optimization based on a hybrid surrogate model by combining polynomial chaos expansion and Gaussian kernel (2022)Analytical robust design opti…Reliability-based design optimization under dependent random variables by a generalized polynomial chaos expansion (2021)Reliability-based design opti…Signal-to-Noise Ratios, Performance Criteria, and Transformations (1988)Quality Engineering Using Robust Design (1991)Taguchi's Parameter Design: A Panel Discussion (1992)A review of robust optimal design and its application in dynamics (2004)Trends in Multiple Criteria Decision Analysis (2010)Stochastic Finite Elements: A Spectral Approach (1991)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)Exact and Invariant Second-Moment Code Format (1974)A comparative study of uncertainty propagation methods for black-box-type problems (2008)Structural Reliability Analysis and Prediction (2017)Response Surface Methodology: Process and Product Optimization Using Designed Experiments (1996)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Uncertainty Analysis by Dimension Reduction Integration and Saddlepoint Approximations (2005)Understanding the Effects of Model Uncertainty in Robust Design With Computer Experiments (2005)Theory of games and economic behavior (2019)Fuzzy sets (1965)Fuzzy sets (1996)Global Sensitivity Analysis. The Primer (2007)Engineering Design with Digital Thread (2018)A Comparative Study of Metaheuristic Algorithms for Reliability-Based Design Optimization Problems (2020)A novel Kriging-model-assisted reliability-based multidisciplinary design optimization strategy and its application in the offshore wind turbine tower (2022)Response Surface Methodology (1996)Response Surface Methodology: Process and Product Optimization Using Designed Experiments (1996)Robust improvement schemes for road networks under demand uncertainty (2008)On non-probabilistic reliability-based design optimization of structures with uncertain-but-bounded parameters (2011)Convex Models of Uncertainty in Applied Mechanics (1990)Anti-optimisation of uncertain structures using interval analysis (2001)Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval (2007)Structural Reliability Methods (1996)An Introduction to Copulas (1999)Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems (2010)Sampling-based RBDO using the stochastic sensitivity analysis and Dynamic Kriging method (2011)Modeling, analysis, and optimization under uncertainties: a review (2021)An Integrated Framework for Optimization Under Uncertainty Using Inverse Reliability Strategy (2004)Reliability-Based Design With the Mixture of Random and Interval Variables (2005)Dimensional decomposition-aided metamodels for uncertainty quantification and optimization in engineering: A review (2024)A survey on machine learning approaches for uncertainty quantification of engineering systems (2025)
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References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 1996A Procedure for Robust Design: Minimizing Variations Caused by Noise Factors and Control Factors566 cited
  • 1993Taguchi on Robust Technology Development546 cited
  • 2011Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles516 cited
  • 2006Robust Design: An Overview494 cited
  • 1999Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design371 cited
  • 2003The use of metamodeling techniques for optimization under uncertainty326 cited
  • 1994Structural design under bounded uncertainty—Optimization with anti-optimization235 cited
  • 2008Reliability-based design optimization of problems with correlated input variables using a Gaussian Copula183 cited
  • 2017A Critical Review of Surrogate Assisted Robust Design Optimization177 cited
  • 1995A ROBUST OPTIMIZATION PROCEDURE WITH VARIATIONS ON DESIGN VARIABLES AND CONSTRAINTS135 cited
  • 2006Analytical robustness assessment for robust design115 cited
  • 2008Stochastic sensitivity analysis by dimensional decomposition and score functions94 cited
  • 2008Robust design with arbitrary distributions using Gauss-type quadrature formula84 cited

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2005
A Methodology for Trading-Off Performance and Robustness Under Uncertainty
84 cited
  • 2011Sampling-Based Stochastic Sensitivity Analysis Using Score Functions for RBDO Problems With Correlated Random Variables83 cited
  • Cited by

    • 2021Reliability-based design optimization under dependent random variables by a generalized polynomial chaos expansion20 cited
    • 2022Analytical robust design optimization based on a hybrid surrogate model by combining polynomial chaos expansion and Gaussian kernel18 cited
    • 2024Analytical robust design optimization for hybrid design variables: An active-learning methodology based on polynomial chaos Kriging16 cited