A survey on approaches for reliability-based optimization

Valdebenito, Marcos A.; Schuëller, Gerhart I.

doi:10.1007/s00158-010-0518-6

Cited by 340 publications

(143 citation statements)

References 129 publications

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“…Default convergence tolerance 0.5% is used for all examples. As can be seen in literature (Valdebenito and Schueller 2010), it is rather difficult to compare results from different research papers. Thus many authors chose to compare results of different RBDO methods based on their own implementation (Du and Chen 2004;Yi et al 2008;Aoues and Chatteauneuf 2010).…”

Section: Numerical Examplesmentioning

confidence: 99%

A two-phase approach based on sequential approximation for reliability-based design optimization

Zhou

Zhifan

et al. 2018

Struct Multidisc Optim

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The original problem of reliability-based design optimization (RBDO) is mathematically a nested two-level structure that is computationally time consuming for real engineering problems. In order to overcome the computational difficulties, many formulations have been proposed in the literature. These include SORA (sequential optimization and reliability assessment) that decouples the nested problems. SLA (single loop approach) further improves efficiency in that reliability analysis becomes an integrated part of the optimization problem. However, even SLA method can become computationally challenging for real engineering problems involving many reliability constraints. This paper presents an enhanced version of SLA where the first phase is based on approximation at nominal design point. After convergence of first iterative phase is reached the process transitions to a second phase where approximations of reliability constraints are carried out at their respective minimum performance target point (MPTP). The solution is implemented in Altair OptiStruct, where adaptive approximation and constraint screening strategies are utilized in the RBDO process. Examples show that the proposed two-phase approach leads to reduction in finite element analyses while preserving equal solution quality.

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Section: Numerical Examplesmentioning

confidence: 99%

A two-phase approach based on sequential approximation for reliability-based design optimization

Zhou

Zhifan

et al. 2018

Struct Multidisc Optim

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“…A typical deterministic design optimization formulation can be given as follows. survey is provided in [13]. An RBDO formulation of the above problem combining uncertainty can be given as…”

Section: Single Objective Optimizationmentioning

confidence: 99%

“…However, the existing methods are only suitable for low-dimensional coupling, and are found to be inefficient when solving MDA with a large number of coupling variables. the focus has been on achieving desired reliability levels for constraints [13,14,15], and (2) robust design optimization (RDO), where the primary focus has been on minimizing objective function variations, typically quantified by their respective variances [16,17,18].…”

mentioning

confidence: 99%

Multi-disciplinary analysis and optimization under uncertainty

Chen¹

2014

Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures

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“…There are several approaches in the literature to address the coupled reliability-based optimization problems, e.g. single level approaches (SLA) that either merge the inner reliability analysis loop and outer optimization loop into one single level problem (Chen et al 1997;Agarwal et al 2004;Liang and Mourelatos 2008) or decouple the double loop into sequential cycles of reliability analysis and deterministic MDO (Royset et al 2001;Wu et al 2001;Du and Chen 2002), which are surveyed in (Valdebenito and Schuëller 2010). Herein the SLA method proposed in (Chen et al 1997) is used for simplicity.…”

Section: Uncertainty Analysismentioning

confidence: 99%

A surrogate based multistage-multilevel optimization procedure for multidisciplinary design optimization

Yao

Chen

Ouyang

et al. 2011

Struct Multidisc Optim

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Optimization procedure is one of the key techniques to address the computational and organizational complexities of multidisciplinary design optimization (MDO). Motivated by the idea of synthetically exploiting the advantage of multiple existing optimization procedures and meanwhile complying with the general process of satellite system design optimization in conceptual design phase, a multistage-multilevel MDO procedure is proposed in this paper by integrating multiple-discipline-feasible (MDF) and concurrent subspace optimization (CSSO), termed as MDF-CSSO. In the first stage, the approximation surrogates of high-fidelity disciplinary models are built by disciplinary specialists independently, based on which the single level optimization procedure MDF is used to quickly identify the promising region and roughly locate the optimum of the MDO problem. In the second stage, the disciplinary specialists are employed to further investigate and improve the baseline design obtained in the first stage with highfidelity disciplinary models. CSSO is used to organize the concurrent disciplinary optimization and system coordination so as to allow disciplinary autonomy. To enhance the reliability and robustness of the design under uncertainties, the probabilistic version of MDF-CSSO (PMDF-CSSO) is developed to solve uncertainty-based optimization problems. The effectiveness of the proposed methods is verified with one MDO benchmark test and one practical satellite conceptual design optimization problem, followed by conclusion remarks and future research prospects.

show abstract

A survey on approaches for reliability-based optimization

Cited by 340 publications

References 129 publications

A two-phase approach based on sequential approximation for reliability-based design optimization

A two-phase approach based on sequential approximation for reliability-based design optimization

Multi-disciplinary analysis and optimization under uncertainty

A surrogate based multistage-multilevel optimization procedure for multidisciplinary design optimization

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