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A Broyden–Fletcher–Goldfarb–Shanno algorithm for reliability-based design optimization
15 references·2 citing·37 second hopsampled
A Broyden–Fletcher–Goldfarb–Shanno algorithm for reliability-based design optimization (2020)A Broyden–Fletcher–Goldfarb–Shanno algori…A hybrid descent mean value for accurate and efficient performance measure approach of reliability-based design optimization (2018)A hybrid descent mean value f…An adaptive hybrid single-loop method for reliability-based design optimization using iterative control strategy (2017)An adaptive hybrid single-loo…A new direct second-order reliability analysis method (2017)A new direct second-order rel…Second-order reliability method-based inverse reliability analysis using Hessian update for accurate and efficient reliability-based design optimization (2014)Second-order reliability meth…HLRF–BFGS optimization algorithm for structural reliability (2014)HLRF–BFGS optimization algori…A hybrid chaos control approach of the performance measure functions for reliability-based design optimization (2014)A hybrid chaos control approa…Sensitivity analyses of FORM‐based and DRM‐based performance measure approach (PMA) for reliability‐based design optimization (RBDO) (2009)Sensitivity analyses of FORM‐…Benchmark study of numerical methods for reliability-based design optimization (2009)Benchmark study of numerical …Chaos control of performance measure approach for evaluation of probabilistic constraints (2008)Chaos control of performance …Reliable design space and complete single-loop reliability-based design optimization (2007)Reliable design space and com…Optimum step length selection rule in modified HL–RF method for structural reliability (2006)Optimum step length selection…Experience with approximate reliability-based optimization methods (2004)Experience with approximate r…Hybrid Analysis Method for Reliability-Based Design Optimization (2003)Hybrid Analysis Method for Re…A new response surface methodology for reliability-based design optimization (2003)A new response surface method…A comparative study on reliability-index and target-performance-based probabilistic structural design optimization (2002)A comparative study on reliab…A novel performance measure approach for reliability-based design optimization with adaptive Barzilai-Borwein steps (2024)A novel performance measure a…A general methodology for reliability-based robust design optimization of computation-intensive engineering problems (2022)A general methodology for rel…Structural reliability under combined random load sequences (1978)Structural Reliability Methods (1996)A New Study on Reliability-Based Design Optimization (1999)Life-cycle reliability-based optimization of civil and aerospace structures (2003)A Single-Loop Approach for System Reliability-Based Design Optimization (2007)Surrogate-assisted reliability-based design optimization: a survey and a unified modular framework (2019)Advanced probabilistic structural analysis method for implicit performance functions (1990)An adaptive hybrid approach for reliability-based design optimization (2014)A new reliability-based design optimization framework using isogeometric analysis (2018)Exact and Invariant Second-Moment Code Format (1974)Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)A survey on approaches for reliability-based optimization (2010)Reliability-based design optimization using kriging surrogates and subset simulation (2011)Reliability based structural design optimization for practical applications (1997)A single-loop method for reliability-based design optimisation (2007)Reliability-based design optimization strategies based on FORM: a review (2012)Methods of structural safety (2006)Simulation and the Monte Carlo Method (2007)Forward and inverse structural uncertainty propagations under stochastic variables with arbitrary probability distributions (2018)New target performance approach for a super parametric convex model of non-probabilistic reliability-based design optimization (2018)Response Surface Methodology (1996)Enriched Performance Measure Approach for Reliability-Based Design Optimization. (2005)Reliability analysis of structures by iterative improved response surface method (2016)Adaptive approaches in metamodel-based reliability analysis: A review (2020)Probability Concepts in Engineering Planning and Design (1975)An adaptive decoupling approach for reliability-based design optimization (2013)Probability-interval hybrid uncertainty analysis for structures with both aleatory and epistemic uncertainties: a review (2017)Second‐Order Reliability Approximations (1987)Improvement Of Second‐Order Reliability Estimates by Importance Sampling (1988)AKSE: A novel adaptive Kriging method combining sampling region scheme and error-based stopping criterion for structural reliability analysis (2021)Second-order reliability methods: a review and comparative study (2021)A new directional stability transformation method of chaos control for first order reliability analysis (2016)A Comparative Study of Metaheuristic Algorithms for Reliability-Based Design Optimization Problems (2020)Modeling, analysis, and optimization under uncertainties: a review (2021)Robust Design: An Overview (2006)Computational methods in optimization considering uncertainties – An overview (2008)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)
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References

  • 2003Hybrid Analysis Method for Reliability-Based Design Optimization613 cited
  • 2009Benchmark study of numerical methods for reliability-based design optimization453 cited
  • 2003A new response surface methodology for reliability-based design optimization404 cited
  • 2002A comparative study on reliability-index and target-performance-based probabilistic structural design optimization253 cited
  • 2007Reliable design space and complete single-loop reliability-based design optimization200 cited
  • 2014A hybrid chaos control approach of the performance measure functions for reliability-based design optimization198 cited
  • 2017A new direct second-order reliability analysis method190 cited
  • 2004Experience with approximate reliability-based optimization methods188 cited
  • 2008Chaos control of performance measure approach for evaluation of probabilistic constraints103 cited
  • 2014Second-order reliability method-based inverse reliability analysis using Hessian update for accurate and efficient reliability-based design optimization96 cited
  • 2017An adaptive hybrid single-loop method for reliability-based design optimization using iterative control strategy93 cited
  • 2006Optimum step length selection rule in modified HL–RF method for structural reliability90 cited
  • 2014HLRF–BFGS optimization algorithm for structural reliability79 cited
  • 2018

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A hybrid descent mean value for accurate and efficient performance measure approach of reliability-based design optimization
73 cited
  • 2009Sensitivity analyses of FORM‐based and DRM‐based performance measure approach (PMA) for reliability‐based design optimization (RBDO)65 cited
  • Cited by

    • 2024A novel performance measure approach for reliability-based design optimization with adaptive Barzilai-Borwein steps12 cited
    • 2022A general methodology for reliability-based robust design optimization of computation-intensive engineering problems8 cited