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A Most Probable Point-Based Method for Efficient Uncertainty Analysis
13 references·16 citing·39 second hop
A Most Probable Point-Based Method for Efficient Uncertainty Analysis (2001)A Most Probable Point-Based Method for Ef…Structural Reliability Analysis and Prediction (2017)Structural Reliability Analys…Methodology for Managing the Effect of Uncertainty in Simulation-Based Design (2000)Methodology for Managing the …Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems (1998)Stochastic Response Surface M…A Framework for Decision-Based Engineering Design (1998)A Framework for Decision-Base…Uncertainty Modeling and Analysis in Civil Engineering (1997)Uncertainty Modeling and Anal…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…Statistics from Experiments (1990)Statistics from ExperimentsAdvanced probabilistic structural analysis method for implicit performance functions (1990)Advanced probabilistic struct…Second‐Order Reliability Approximations (1987)Second‐Order Reliability Appr…New light on first- and second-order reliability methods (1987)New light on first- and secon…Simulation and the Monte Carlo Method (1981)Simulation and the Monte Carl…Exact and Invariant Second-Moment Code Format (1974)Exact and Invariant Second-Mo…Reliability-based design method for marine structures combining topology, shape, and size optimization (2023)Reliability-based design meth…Development of surrogate models in reliability-based design optimization: A review (2021)Development of surrogate mode…Certifiable Risk-Based Engineering Design Optimization (2021)Certifiable Risk-Based Engine…Information Reuse for Importance Sampling in Reliability-Based Design Optimization (2020)Information Reuse for Importa…Efficient uncertainty propagation for parameterized p-box using sparse-decomposition-based polynomial chaos expansion (2020)Efficient uncertainty propaga…Efficient time-variant reliability analysis through approximating the most probable point trajectory (2020)Efficient time-variant reliab…A novel approach for reliability analysis with correlated variables based on the concepts of entropy and polynomial chaos expansion (2020)A novel approach for reliabil…A general frame for uncertainty propagation under multimodally distributed random variables (2020)A general frame for uncertain…A new uncertainty propagation method for problems with parameterized probability-boxes (2017)A new uncertainty propagation…Analysis of Uncertainty and Variability in Finite Element Computational Models for Biomedical Engineering: Characterization and Propagation (2016)Analysis of Uncertainty and V…Reliability-based robust design optimization: A general methodology using genetic algorithm (2014)Reliability-based robust desi…Reliability-based design optimization with discrete design variables and non-smooth performance functions: AB-PSO algorithm (2011)Reliability-based design opti…Time-Dependent Reliability Estimation for Dynamic Problems Using a Niching Genetic Algorithm (2009)Time-Dependent Reliability Es…Probabilistic Sensitivity Analysis Methods for Design Under Uncertainty (2004)Probabilistic Sensitivity Ana…Robust Piston Design and Optimization Using Piston Secondary Motion Analysis (2003)Robust Piston Design and Opti…Reliability-Based Multidisciplinary Design Optimization of a Full Vehicle System (2002)Reliability-Based Multidiscip…Probability Concepts in Engineering Planning and Design (1975)Structural reliability under combined random load sequences (1978)Computational methods for efficient structural reliability and reliability sensitivity analysis (1994)A new response surface methodology for reliability-based design optimization (2003)A survey on approaches for reliability-based optimization (2010)Signal-to-Noise Ratios, Performance Criteria, and Transformations (1988)Quality Engineering Using Robust Design (1991)Taguchi's Parameter Design: A Panel Discussion (1992)Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design (1999)A review of robust optimal design and its application in dynamics (2004)Trends in Multiple Criteria Decision Analysis (2010)Statistics for Experimenters: An Introduction to Design, Data Analysis and Model Building. 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this work references cited by second hop

References

  • 2017Structural Reliability Analysis and Prediction3,780 cited
  • 1974Exact and Invariant Second-Moment Code Format3,138 cited
  • 1981Simulation and the Monte Carlo Method2,402 cited
  • 1998A Framework for Decision-Based Engineering Design630 cited
  • 1987Second‐Order Reliability Approximations583 cited
  • 1996A Procedure for Robust Design: Minimizing Variations Caused by Noise Factors and Control Factors566 cited
  • 1990Advanced probabilistic structural analysis method for implicit performance functions467 cited
  • 1990Statistics from Experiments438 cited
  • 1998Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems387 cited
  • 1987New light on first- and second-order reliability methods377 cited
  • 1993A General Approach for Robust Optimal Design351 cited
  • 2000Methodology for Managing the Effect of Uncertainty in Simulation-Based Design157 cited
  • 1997Uncertainty Modeling and Analysis in Civil Engineering134 cited

Cited by

  • 2014Reliability-based robust design optimization: A general methodology using genetic algorithm75 cited
  • 2017A new uncertainty propagation method for problems with parameterized probability-boxes

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62 cited
  • 2009Time-Dependent Reliability Estimation for Dynamic Problems Using a Niching Genetic Algorithm60 cited
  • 2020A general frame for uncertainty propagation under multimodally distributed random variables54 cited
  • 2003Robust Piston Design and Optimization Using Piston Secondary Motion Analysis52 cited
  • 2020Information Reuse for Importance Sampling in Reliability-Based Design Optimization47 cited
  • 2016Analysis of Uncertainty and Variability in Finite Element Computational Models for Biomedical Engineering: Characterization and Propagation44 cited
  • 2020Efficient uncertainty propagation for parameterized p-box using sparse-decomposition-based polynomial chaos expansion43 cited
  • 2011Reliability-based design optimization with discrete design variables and non-smooth performance functions: AB-PSO algorithm38 cited
  • 2004Probabilistic Sensitivity Analysis Methods for Design Under Uncertainty37 cited
  • 2020Efficient time-variant reliability analysis through approximating the most probable point trajectory36 cited
  • 2023Reliability-based design method for marine structures combining topology, shape, and size optimization36 cited
  • 2002Reliability-Based Multidisciplinary Design Optimization of a Full Vehicle System36 cited
  • 2021Development of surrogate models in reliability-based design optimization: A review28 cited
  • 2021Certifiable Risk-Based Engineering Design Optimization27 cited
  • 2020A novel approach for reliability analysis with correlated variables based on the concepts of entropy and polynomial chaos expansion27 cited