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A comparison between robust and risk-based optimization under uncertainty
16 references·16 citing·35 second hopsampled
A comparison between robust and risk-based optimization under uncertainty (2015)A comparison between robust and risk-base…Structural Reliability Analysis and Prediction (2017)Structural Reliability Analys…Reliability-based design optimization strategies based on FORM: a review (2012)Reliability-based design opti…Introduction to Stochastic Programming (2011)Introduction to Stochastic Pr…A comparison of deterministic, reliability-based and risk-based structural optimization under uncertainty (2011)A comparison of deterministic…Stochastic Programming (2010)Stochastic ProgrammingA survey on approaches for reliability-based optimization (2010)A survey on approaches for re…Benchmark study of numerical methods for reliability-based design optimization (2009)Benchmark study of numerical …A comparison between different robust optimum design approaches: Application to tuned mass dampers (2009)A comparison between differen…Computational methods in optimization considering uncertainties – An overview (2008)Computational methods in opti…Robust optimization – A comprehensive survey (2007)Robust optimization – A compr…A review of robust optimal design and its application in dynamics (2004)A review of robust optimal de…Life-cycle reliability-based optimization of civil and aerospace structures (2003)Life-cycle reliability-based …Optimization and risk acceptability based on the Life Quality Index (2002)Optimization and risk accepta…Introduction to Stochastic Programming (1998)Introduction to Stochastic Pr…Reliability based structural design optimization for practical applications (1997)Reliability based structural …Reliability-based optimization in structural engineering (1994)Reliability-based optimizatio…The latent failure probability: A conceptual basis for robust, reliability-based and risk-based design optimization (2023)The latent failure probabilit…Sensitivity estimation of first excursion probabilities of linear structures subject to stochastic Gaussian loading (2021)Sensitivity estimation of fir…From inference to design: A comprehensive framework for uncertainty quantification in engineering with limited information (2021)From inference to design: A c…Optimal design of redundant structural systems: fundamentals (2020)Optimal design of redundant s…Probability sensitivity estimation of linear stochastic finite element models applying Line Sampling (2019)Probability sensitivity estim…A second order SAP algorithm for risk and reliability based design optimization (2019)A second order SAP algorithm …System reliability-based design optimization and risk-based optimization: a benchmark example considering progressive collapse (2018)System reliability-based desi…On the formulation of optimization problems under uncertainty in mechanical design (2018)On the formulation of optimiz…Robust formulation for Reliability-based design optimization of structures (2017)Robust formulation for Reliab…Robust aerodynamic shape design based on an adaptive stochastic optimization framework (2017)Robust aerodynamic shape desi…Performance-based design of steel towers subject to wind action (2017)Performance-based design of s…A gradient-based polynomial chaos approach for risk and reliability-based design optimization (2017)A gradient-based polynomial c…Sequential approximate optimization for design under uncertainty problems utilizing Kriging metamodeling in augmented input space (2016)Sequential approximate optimi…On the consideration of uncertainty in design: optimization - reliability - robustness (2016)On the consideration of uncer…Coupling the cross-entropy with the line sampling method for risk-based design optimization (2016)Coupling the cross-entropy wi…The Design Space Root Finding method for efficient risk optimization by simulation (2015)The Design Space Root Finding…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)A Stochastic Approximation Method (1951)Design and Analysis of Computer Experiments (1989)Fuzzy sets (1996)Robust possibilistic programming for socially responsible supply chain network design: A new approach (2012)Chance-Constrained Programming (1959)Surrogate-assisted reliability-based design optimization: a survey and a unified modular framework (2019)A Comparative Study of Metaheuristic Algorithms for Reliability-Based Design Optimization Problems (2020)Exact and Invariant Second-Moment Code Format (1974)A New Study on Reliability-Based Design Optimization (1999)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Reliability-based design optimization using kriging surrogates and subset simulation (2011)Applied Statistical Decision Theory (1962)Probability, statistics, and decision for civil engineers (1970)Structural reliability under combined random load sequences (1978)Probability Concepts in Engineering Planning and Design (1975)An Integrated Framework for Optimization Under Uncertainty Using Inverse Reliability Strategy (2004)Enriched Performance Measure Approach for Reliability-Based Design Optimization. (2005)A sequential approximate programming strategy for reliability-based structural optimization (2006)Uncertainties in risk analysis: Six levels of treatment (1996)Reliability analysis—a review and some perspectives (2001)Conditional value-at-risk for general loss distributions (2002)The Sample Average Approximation Method for Stochastic Discrete Optimization (2002)Theory and Applications of Robust Optimization (2010)Ambulance location and relocation models (2003)Stochastic Programming Models (2003)A two-stage stochastic programming framework for transportation planning in disaster response (2004)Robust solutions of uncertain linear programs (1999)Optimization under uncertainty: state-of-the-art and opportunities (2003)Lectures on Stochastic Programming: Modeling and Theory (2009)
this work references cited by second hop· second hop is a sample of the most-cited connections

References

  • 2011Introduction to Stochastic Programming6,469 cited
  • 2017Structural Reliability Analysis and Prediction3,780 cited
  • 2010Stochastic Programming2,228 cited
  • 1998Introduction to Stochastic Programming1,664 cited
  • 2007Robust optimization – A comprehensive survey1,603 cited
  • 2008Computational methods in optimization considering uncertainties – An overview573 cited
  • 1994Reliability-based optimization in structural engineering550 cited
  • 2009Benchmark study of numerical methods for reliability-based design optimization453 cited
  • 2010A survey on approaches for reliability-based optimization401 cited
  • 1997Reliability based structural design optimization for practical applications343 cited
  • 2004A review of robust optimal design and its application in dynamics336 cited
  • 2003Life-cycle reliability-based optimization of civil and aerospace structures213 cited
  • 2002Optimization and risk acceptability based on the Life Quality Index188 cited
  • 2011A comparison of deterministic, reliability-based and risk-based structural optimization under uncertainty168 cited
  • 2012Reliability-based design optimization strategies based on FORM: a review137 cited

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  • 2009A comparison between different robust optimum design approaches: Application to tuned mass dampers103 cited
  • Cited by

    • 2016Sequential approximate optimization for design under uncertainty problems utilizing Kriging metamodeling in augmented input space71 cited
    • 2021From inference to design: A comprehensive framework for uncertainty quantification in engineering with limited information55 cited
    • 2016On the consideration of uncertainty in design: optimization - reliability - robustness45 cited
    • 2017Performance-based design of steel towers subject to wind action35 cited
    • 2017Robust aerodynamic shape design based on an adaptive stochastic optimization framework32 cited
    • 2020Optimal design of redundant structural systems: fundamentals29 cited
    • 2023The latent failure probability: A conceptual basis for robust, reliability-based and risk-based design optimization28 cited
    • 2019A second order SAP algorithm for risk and reliability based design optimization24 cited
    • 2017A gradient-based polynomial chaos approach for risk and reliability-based design optimization23 cited
    • 2018System reliability-based design optimization and risk-based optimization: a benchmark example considering progressive collapse23 cited
    • 2017Robust formulation for Reliability-based design optimization of structures18 cited
    • 2018On the formulation of optimization problems under uncertainty in mechanical design14 cited
    • 2019Probability sensitivity estimation of linear stochastic finite element models applying Line Sampling14 cited
    • 2021Sensitivity estimation of first excursion probabilities of linear structures subject to stochastic Gaussian loading13 cited
    • 2016Coupling the cross-entropy with the line sampling method for risk-based design optimization13 cited
    • 2015The Design Space Root Finding method for efficient risk optimization by simulation13 cited