Surrogate-assisted reliability-based design optimization: a survey and a unified modular framework
Reliability-based design optimization (RBDO) is an active field of research with an ever increasing number of contributions. Numerous methods have been proposed for the solution of RBDO, a complex problem that combines optimization and reliability analysis. Classical approaches are based on approxim...
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| Vydané v: | Structural and multidisciplinary optimization Ročník 60; číslo 5; s. 2157 - 2176 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
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Berlin/Heidelberg
Springer Berlin Heidelberg
01.11.2019
Springer Nature B.V |
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| ISSN: | 1615-147X, 1615-1488 |
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| Abstract | Reliability-based design optimization (RBDO) is an active field of research with an ever increasing number of contributions. Numerous methods have been proposed for the solution of RBDO, a complex problem that combines optimization and reliability analysis. Classical approaches are based on approximation methods and have been classified in review papers. In this paper, we first review classical approaches based on approximation methods such as FORM, and also more recent methods that rely upon surrogate modelling and Monte Carlo simulation. We then propose a generalization of the existing surrogate-assisted and simulation-based RBDO techniques using a unified framework that includes three independent blocks, namely adaptive surrogate modelling, reliability analysis, and optimization. These blocks are non-intrusive with respect to each other and can be plugged independently in the framework. After a discussion on numerical considerations that require attention for the framework to yield robust solutions to various types of problems, the latter is applied to three examples (using two analytical functions and a finite element model). Kriging and support vector machines regression together with their own active learning schemes are considered in the surrogate model block. In terms of reliability analysis, the proposed framework is illustrated using both crude Monte Carlo and subset simulation. Finally, the covariance matrix adaptation-evolution scheme (CMA-ES), a global search algorithm, or sequential quadratic programming (SQP), a local gradient-based method, is used in the optimization block. The comparison of the results to benchmark studies shows the effectiveness and efficiency of the proposed framework. |
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| AbstractList | Reliability-based design optimization (RBDO) is an active field of research with an ever increasing number of contributions. Numerous methods have been proposed for the solution of RBDO, a complex problem that combines optimization and reliability analysis. Classical approaches are based on approximation methods and have been classified in review papers. In this paper, we first review classical approaches based on approximation methods such as FORM, and also more recent methods that rely upon surrogate modelling and Monte Carlo simulation. We then propose a generalization of the existing surrogate-assisted and simulation-based RBDO techniques using a unified framework that includes three independent blocks, namely adaptive surrogate modelling, reliability analysis, and optimization. These blocks are non-intrusive with respect to each other and can be plugged independently in the framework. After a discussion on numerical considerations that require attention for the framework to yield robust solutions to various types of problems, the latter is applied to three examples (using two analytical functions and a finite element model). Kriging and support vector machines regression together with their own active learning schemes are considered in the surrogate model block. In terms of reliability analysis, the proposed framework is illustrated using both crude Monte Carlo and subset simulation. Finally, the covariance matrix adaptation-evolution scheme (CMA-ES), a global search algorithm, or sequential quadratic programming (SQP), a local gradient-based method, is used in the optimization block. The comparison of the results to benchmark studies shows the effectiveness and efficiency of the proposed framework. |
| Author | Sudret, Bruno Moustapha, Maliki |
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| Copyright | Springer-Verlag GmbH Germany, part of Springer Nature 2019 Structural and Multidisciplinary Optimization is a copyright of Springer, (2019). All Rights Reserved. |
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| Keywords | Reliability-based design optimization Surrogate modelling Active learning RBDO Simulation methods |
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| Snippet | Reliability-based design optimization (RBDO) is an active field of research with an ever increasing number of contributions. Numerous methods have been... |
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| SubjectTerms | Approximation Computational Mathematics and Numerical Analysis Computer simulation Covariance matrix Design optimization Engineering Engineering Design Evolutionary algorithms Finite element method Kriging interpolation Mathematical models Modular design Monte Carlo simulation Quadratic programming Regression analysis Reliability analysis Review Article Robustness (mathematics) Search algorithms Support vector machines Theoretical and Applied Mechanics |
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| Title | Surrogate-assisted reliability-based design optimization: a survey and a unified modular framework |
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