A survey on approaches for reliability-based optimization

DOI10.1007/s00158-010-0518-6zbMath1274.90125OpenAlexW2023034439MaRDI QIDQ381530

Marcos A. Valdebenito, Gerhard Iwo Schuëller

Publication date: 15 November 2013

Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00158-010-0518-6

zbMATH Keywords

advanced simulation methodsapproximate reliability methodsreliability assessmentreliability-based optimization

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Compliance or weight optimization in solid mechanics (74P05)

Related Items (39)

Combined sensitivity analysis for multiple failure modes ⋮ A global single-loop deterministic approach for reliability-based design optimization of truss structures with continuous and discrete design variables ⋮ Computational strategy for the crash design analysis using an uncertain computational mechanical model ⋮ Optimization under Rare Chance Constraints ⋮ Recent development in structural design and optimization ⋮ Adaptive importance sampling for optimization under uncertainty problems ⋮ Efficient design of experiments for structural optimization using significance screening ⋮ Sequential sampling for contour estimation with concurrent function evaluations ⋮ A random sampling approach to worst-case design of structures ⋮ The Interval Uncertain Optimization Strategy Based on Chebyshev Meta-model ⋮ An active learning method combining kriging and accelerated chaotic single loop approach (AK-ACSLA) for reliability-based design optimization ⋮ A certified branch \& bound approach for reliability-based optimization problems ⋮ Robust compliance topology optimization based on the topological derivative concept ⋮ A Kriging-assisted global reliability-based design optimization algorithm with a reliability-constrained expected improvement ⋮ A single-loop approach with adaptive sampling and surrogate Kriging for reliability-based design optimization ⋮ Efficient two-phase approach to reliability-based discrete variable topology optimization of continuum structures with multimodal distributions ⋮ A sampling criterion for constrained Bayesian optimization with uncertainties ⋮ A subset multicanonical Monte Carlo method for simulating rare failure events ⋮ Ethnic groups chaos game optimization algorithm for optimal design of steel structures considering seismic risk ⋮ Stochastic subset optimization incorporating moving least squares response surface methodologies for stochastic sampling ⋮ X-TMCMC: adaptive kriging for Bayesian inverse modeling ⋮ Augmented line sampling for approximation of failure probability function in reliability-based analysis ⋮ Fully decoupled reliability-based design optimization of structural systems subject to uncertain loads ⋮ An efficient approach for the design optimization of dual uncertain structures involving fuzzy random variables ⋮ A PDF-based performance shift approach for reliability-based design optimization ⋮ A new hybrid uncertainty optimization method for structures using orthogonal series expansion ⋮ An enhanced reliability index method and its application in reliability-based collaborative design and optimization ⋮ Multilevel surrogate modeling approach for optimization problems with polymorphic uncertain parameters ⋮ New simulation-based frameworks for multi-objective reliability-based design optimization of structures ⋮ A hybrid directional step method for minimum performance target point search ⋮ Sequential approximate optimization for design under uncertainty problems utilizing Kriging metamodeling in augmented input space ⋮ Gradient based design optimization under uncertainty via stochastic expansion methods ⋮ A general framework for robust topology optimization under load-uncertainty including stress constraints ⋮ Reliability-based topology optimization for structures using fuzzy set model ⋮ Structural reliability under uncertainty in moments: distributionally-robust reliability-based design optimization ⋮ Robust System Design with Limited Experimental Data and an Inexact Simulation Model ⋮ A novel sensitivity index for analyzing the response of numerical models with interval inputs ⋮ Reliability analysis of discrete-state performance functions via adaptive sequential sampling with detection of failure surfaces ⋮ An ensemble model-based method for estimating failure probability function with application in reliability-based optimization

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimization by Simulated Annealing
• Asymptotic approximations for probability integrals
• Benchmark study of numerical methods for reliability-based design optimization
• On the effects of non-linear elements in the reliability-based optimal design of stochastic dynamical systems
• Reliability-based optimization of stochastic systems using line search
• Design of maintenance schedules for fatigue-prone metallic components using reliability-based optimization
• A sampling-based approach for probabilistic design with random fields
• A survey of non-probabilistic uncertainty treatment in finite element analysis
• Computational framework for long-term reliability analysis of RC structures
• Implementable algorithm for stochastic optimization using sample average approximations
• Reliability-based structural optimization using improved two-point adaptive nonlinear approximations
• Optimization. Algorithms and consistent approximations
• Reliability-based optimization of structural systems
• Two basic problems in reliability-based structural optimization
• Evolution strategies. A comprehensive introduction
• Reliability-based structural optimization using neural networks and Monte Carlo simulation
• A convex hull approach for the reliability-based design optimization of nonlinear transient dynamic problems
• A univariate approximation at most probable point for higher-order reliability analysis
• Design of complex systems in the presence of large uncertainties: a statistical approach
• Inverse analysis method using MPP-based dimension reduction for reliability-based design optimization of nonlinear and multi-dimensional systems
• An efficient reliability-based optimization scheme for uncertain linear systems subject to general Gaussian excitation
• An efficient framework for optimal robust stochastic system design using stochastic simulation
• Chance-Constrained Programming
• Reliability of Structures in High Dimensions
• Sensitivity analysis for reliability-based optimization using an AFOSM method
• On the convergence of a sequential quadratic programming method with an augmented lagrangian line search function
• An effective optimization procedure based on structural reliability
• Reliability based structural optimization: A simplified safety index approach
• Minimum weight design of structures with random parameters
• Reliability based optimization: A safety index approach
• Structural optimization by chance constrained programming techniques
• Optimum design of structures with random parameters
• An efficient algorithm to compute maximum entropy densities
• Numerical Optimization
• Computational methods for efficient structural reliability and reliability sensitivity analysis
• Reliability-based structural optimal design using the Neumann expansion technique
• Introduction to Stochastic Search and Optimization
• Parallel simulated annealing for structural optimization
• Reliability analysis for elastoplastic mechanical structures under stochastic uncertainty
• Prior Probabilities
• A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics
• The Monte Carlo Method
• Elements of structural optimization.

This page was built for publication: A survey on approaches for reliability-based optimization