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Evaluating small failure probabilities of multiple limit states by parallel subset simulation
16 references·16 citing·26 second hopsampled
Evaluating small failure probabilities of multiple limit states by parallel subset simulation (2010)Evaluating small failure probabilities of…Simulation and the Monte Carlo Method (2016)Simulation and the Monte Carl…Methods of structural safety (2006)Methods of structural safetyBenchmark study on reliability estimation in higher dimensions of structural systems – An overview (2006)Benchmark study on reliabilit…Reliability estimation for dynamical systems subject to stochastic excitation using subset simulation with splitting (2004)Reliability estimation for dy…Reliability-based structural optimization using neural networks and Monte Carlo simulation (2002)Reliability-based structural …Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…The geometry of random vibrations and solutions by FORM and SORM (2000)The geometry of random vibrat…Reliability-Based Optimization of structural systems (1997)Reliability-Based Optimizatio…Reliability-based optimization in structural engineering (1994)Reliability-based optimizatio…A critical appraisal of methods to determine failure probabilities (1987)A critical appraisal of metho…Application of Structural Systems Reliability Theory (1986)Application of Structural Sys…Basic Analysis of Structural Safety (1983)Basic Analysis of Structural …Simulation and the Monte Carlo Method (1981)Simulation and the Monte Carl…Probability Concepts in Engineering Planning and Design: Vol. I-Basic Principles. (1979)Probability Concepts in Engin…Probability Concepts in Engineering Planning and Design (1975)Probability Concepts in Engin…Probability, statistics, and decision for civil engineers (1970)Probability, statistics, and …Generalized Stratified Sampling for Efficient Reliability Assessment of Structures against Natural Hazards (2023)Generalized Stratified Sampli…Adaptive vectorial surrogate modeling framework for multi-objective reliability estimation (2023)Adaptive vectorial surrogate …Small failure probability: principles, progress and perspectives (2022)Small failure probability: pr…Efficient framework for structural reliability analysis based on adaptive ensemble learning paired with subset simulation (2022)Efficient framework for struc…An enhanced PDEM-based framework for reliability analysis of structures considering multiple failure modes and limit states (2022)An enhanced PDEM-based framew…Adaptive Kriging-based failure probability estimation for multiple responses (2022)Adaptive Kriging-based failur…A new sampling approach for system reliability-based design optimization under multiple simulation models (2022)A new sampling approach for s…Importance Sampling for Time-Variant Reliability Analysis (2021)Importance Sampling for Time-…Subset simulation method including fitness-based seed selection for reliability analysis (2020)Subset simulation method incl…Subset simulation for problems with strongly non-Gaussian, highly anisotropic, and degenerate distributions (2020)Subset simulation for problem…Sampling-based system reliability-based design optimization using composite active learning Kriging (2020)Sampling-based system reliabi…A refined subset simulation for the reliability analysis using the subset control variate (2020)A refined subset simulation f…Subdomain sampling methods – Efficient algorithm for estimating failure probability (2017)Subdomain sampling methods – …On the evaluation of multiple failure probability curves in reliability analysis with multiple performance functions (2017)On the evaluation of multiple…Structural reliability analysis of multiple limit state functions using multi-input multi-output support vector machine (2016)Structural reliability analys…New Sampling Method and Procedures for Estimating Failure Probability (2015)New Sampling Method and Proce…Exact and Invariant Second-Moment Code Format (1974)A general procedure for first/second-order reliabilitymethod (FORM/SORM) (1999)The equivalent extreme-value event and evaluation of the structural system reliability (2006)Applied Statistical Decision Theory (1962)Structural reliability under combined random load sequences (1978)Computational methods in optimization considering uncertainties – An overview (2008)Benchmark study of numerical methods for reliability-based design optimization (2009)Reliability-based design optimization using kriging surrogates and subset simulation (2011)Mathematical representation of uncertainty (2001)Error and uncertainty in modeling and simulation (2002)Risk assessment for civil engineering facilities: critical overview and discussion (2003)Structural Reliability Methods (1996)Measuring vulnerability to natural hazards: towards disaster resilient societies (2007)Optimization algorithms for structural reliability (1991)A New Study on Reliability-Based Design Optimization (1999)Reliability analysis—a review and some perspectives (2001)The stochastic finite element method: Past, present and future (2008)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)The generalization of Latin hypercube sampling (2015)Monte Carlo techniques in computational stochastic mechanics (1998)Life-cycle performance, management, and optimisation of structural systems under uncertainty: accomplishments and challenges (2010)Efficient surrogate models for reliability analysis of systems with multiple failure modes (2011)Narrow Reliability Bounds for Structural Systems (1979)Stochastic Dynamics of Marine Structures (2012)Automobile Prices in Market Equilibrium (1995)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)
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References

  • 2016Simulation and the Monte Carlo Method3,356 cited
  • 1975Probability Concepts in Engineering Planning and Design2,575 cited
  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 1981Simulation and the Monte Carlo Method2,402 cited
  • 1970Probability, statistics, and decision for civil engineers1,880 cited
  • 2006Methods of structural safety1,835 cited
  • 1979Probability Concepts in Engineering Planning and Design: Vol. I-Basic Principles.661 cited
  • 1994Reliability-based optimization in structural engineering550 cited
  • 1983Basic Analysis of Structural Safety530 cited
  • 1986Application of Structural Systems Reliability Theory520 cited
  • 2002Reliability-based structural optimization using neural networks and Monte Carlo simulation516 cited
  • 1987A critical appraisal of methods to determine failure probabilities436 cited
  • 2000The geometry of random vibrations and solutions by FORM and SORM238 cited
  • 2006Benchmark study on reliability estimation in higher dimensions of structural systems – An overview220 cited
  • 1997Reliability-Based Optimization of structural systems182 cited

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  • 2004Reliability estimation for dynamical systems subject to stochastic excitation using subset simulation with splitting135 cited
  • Cited by

    • 2022An enhanced PDEM-based framework for reliability analysis of structures considering multiple failure modes and limit states52 cited
    • 2023Adaptive vectorial surrogate modeling framework for multi-objective reliability estimation42 cited
    • 2020A refined subset simulation for the reliability analysis using the subset control variate40 cited
    • 2022Small failure probability: principles, progress and perspectives31 cited
    • 2020Subset simulation for problems with strongly non-Gaussian, highly anisotropic, and degenerate distributions31 cited
    • 2022Adaptive Kriging-based failure probability estimation for multiple responses30 cited
    • 2020Subset simulation method including fitness-based seed selection for reliability analysis28 cited
    • 2020Sampling-based system reliability-based design optimization using composite active learning Kriging27 cited
    • 2021Importance Sampling for Time-Variant Reliability Analysis27 cited
    • 2017Subdomain sampling methods – Efficient algorithm for estimating failure probability27 cited
    • 2016Structural reliability analysis of multiple limit state functions using multi-input multi-output support vector machine25 cited
    • 2022Efficient framework for structural reliability analysis based on adaptive ensemble learning paired with subset simulation23 cited
    • 2022A new sampling approach for system reliability-based design optimization under multiple simulation models22 cited
    • 2015New Sampling Method and Procedures for Estimating Failure Probability20 cited
    • 2023Generalized Stratified Sampling for Efficient Reliability Assessment of Structures against Natural Hazards18 cited
    • 2017On the evaluation of multiple failure probability curves in reliability analysis with multiple performance functions17 cited