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Reliability-Based Design Optimization under Mixed Aleatory/Epistemic Uncertainties: Theory and Applications
16 references·2 citing·46 second hopsampled
Reliability-Based Design Optimization under Mixed Aleatory/Epistemic Uncertainties: Theory and Applications (2021)Reliability-Based Design Optimization und…An augmented step size adjustment method for the performance measure approach: Toward general structural reliability-based design optimization (2019)An augmented step size adjust…Uncertainty Management in Multidisciplinary Design of Critical Safety Systems (2014)Uncertainty Management in Mul…Advanced Line Sampling for efficient robust reliability analysis (2014)Advanced Line Sampling for ef…A survey on approaches for reliability-based optimization (2010)A survey on approaches for re…The role of the design point for calculating failure probabilities in view of dimensionality and structural nonlinearities (2009)The role of the design point …Reliability‐based robust design optimization: A multi‐objective framework using hybrid quality loss function (2009)Reliability‐based robust desi…Benchmark study of numerical methods for reliability-based design optimization (2009)Benchmark study of numerical …Computational methods in optimization considering uncertainties – An overview (2008)Computational methods in opti…Aleatory or epistemic? Does it matter? (2008)Aleatory or epistemic? Does i…A sequential approximate programming strategy for performance-measure-based probabilistic structural design optimization (2006)A sequential approximate prog…A Bayesian Approach to Reliability-Based Optimization With Incomplete Information (2006)A Bayesian Approach to Reliab…Possibility-Based Design Optimization Method for Design Problems With Both Statistical and Fuzzy Input Data (2005)Possibility-Based Design Opti…A Design Optimization Method Using Evidence Theory (2005)A Design Optimization Method …Optimum Design of Mechanical Systems Involving Interval Parameters (2002)Optimum Design of Mechanical …Efficient estimation of structural reliability for problems with uncertain intervals (2002)Efficient estimation of struc…A New Study on Reliability-Based Design Optimization (1999)A New Study on Reliability-Ba…Uncertainty Theory-Based Structural Reliability Analysis and Design Optimization under Epistemic Uncertainty (2022)Uncertainty Theory-Based Stru…Dynamic Risk Analysis of Deepwater Gas Hydrate Drilling with a Riserless Drilling System Based on Uncertain Dynamic Bayesian Network Model (2021)Dynamic Risk Analysis of Deep…Improved two-point function approximations for design optimization (1995)Safety index calculation using intervening variables for structural reliability analysis (1996)Analysis of Uncertain Structural Systems Using Interval Analysis (1997)Uncertainty Quantification of Structural Response Using Evidence Theory (2003)A probabilistic approach for representation of interval uncertainty (2010)Reliability-based design optimization of adhesive bonded steel–concrete composite beams with probabilistic and non-probabilistic uncertainties (2011)Stochastic Finite Elements: A Spectral Approach (1991)Structural Reliability Methods (1996)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)A Chebyshev interval method for nonlinear dynamic systems under uncertainty (2012)Probability-interval hybrid uncertainty analysis for structures with both aleatory and epistemic uncertainties: a review (2017)Fuzzy sets (1965)Fuzzy sets (1996)An Introduction to Copulas (1999)AKOIS: An adaptive Kriging oriented importance sampling method for structural system reliability analysis (2019)Surrogate-assisted reliability-based design optimization: a survey and a unified modular framework (2019)Engineering analysis with probability boxes: A review on computational methods (2021)Reliability assessment in structural dynamics (2013)A generalized Subset Simulation approach for estimating small failure probabilities of multiple stochastic responses (2014)European Committee for Standardization (2014)Structural Reliability Analysis and Prediction (2017)Reliability sensitivity estimation with sequential importance sampling (2018)Chance-Constrained Programming (1959)A Comparative Study of Metaheuristic Algorithms for Reliability-Based Design Optimization Problems (2020)Exact and Invariant Second-Moment Code Format (1974)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Reliability-based design optimization using kriging surrogates and subset simulation (2011)Non-Normal Dependent Vectors in Structural Safety (1981)Hybrid Analysis Method for Reliability-Based Design Optimization (2003)Chaos control of performance measure approach for evaluation of probabilistic constraints (2008)A combined reliability analysis approach with dimension reduction method and maximum entropy method (2010)An important boundary sampling method for reliability-based design optimization using kriging model (2014)The Logic of Scientific Discovery. (1960)Logic of Scientific Discovery, The (2010)Imprecise probabilities in engineering analyses (2013)Variable importance analysis: A comprehensive review (2015)Simulation and the Monte Carlo Method (1981)Methods of structural safety (2006)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual. (2010)Simulation and the Monte Carlo Method (2016)Advances in the Dempster-Shafer theory of evidence (1994)Combination of Evidence in Dempster-Shafer Theory (2002)Sensitivity Analysis with Mixture of Epistemic and Aleatory Uncertainties (2007)First and second order approximate reliability analysis methods using evidence theory (2015)Measuring reliability under epistemic uncertainty: Review on non-probabilistic reliability metrics (2016)
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References

  • 2008Aleatory or epistemic? Does it matter?2,450 cited
  • 1999A New Study on Reliability-Based Design Optimization988 cited
  • 2008Computational methods in optimization considering uncertainties – An overview573 cited
  • 2009Benchmark study of numerical methods for reliability-based design optimization453 cited
  • 2010A survey on approaches for reliability-based optimization401 cited
  • 2014Advanced Line Sampling for efficient robust reliability analysis212 cited
  • 2005A Design Optimization Method Using Evidence Theory149 cited
  • 2006A sequential approximate programming strategy for performance-measure-based probabilistic structural design optimization121 cited
  • 2009The role of the design point for calculating failure probabilities in view of dimensionality and structural nonlinearities112 cited
  • 2002Efficient estimation of structural reliability for problems with uncertain intervals108 cited
  • 2005Possibility-Based Design Optimization Method for Design Problems With Both Statistical and Fuzzy Input Data101 cited
  • 2002Optimum Design of Mechanical Systems Involving Interval Parameters92 cited
  • 2006A Bayesian Approach to Reliability-Based Optimization With Incomplete Information82 cited
  • 2009Reliability‐based robust design optimization: A multi‐objective framework using hybrid quality loss function

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70 cited
  • 2019An augmented step size adjustment method for the performance measure approach: Toward general structural reliability-based design optimization67 cited
  • 2014Uncertainty Management in Multidisciplinary Design of Critical Safety Systems59 cited
  • Cited by

    • 2022Uncertainty Theory-Based Structural Reliability Analysis and Design Optimization under Epistemic Uncertainty17 cited
    • 2021Dynamic Risk Analysis of Deepwater Gas Hydrate Drilling with a Riserless Drilling System Based on Uncertain Dynamic Bayesian Network Model10 cited