Abstract The present work reviews the implementation of adaptive metamodeling for reliability analysis with emphasis in four main types of metamodels: response surfaces, polynomial chaos expansions, support vector machines, and Kriging models. The discussion presented is motivated by the identified spread and little interaction between metamodeling techniques in reliability, which makes it challenging for practitioners to decide which one to consider in a context of implementation. The conceptual problem of reliability analysis and the theoretical description of the four models is presented, and complemented by a comparative discussion of applications with identification of new areas of interest. The different considerations that influence the efficiency of adaptive metamodeling are reviewed, with extension to applicability discussions for the four models researched. Despite all adaptive techniques contributing to achieve significant gains in the amount of effort required for reliability analysis, and with minimal trade-off in accuracy, they should not be expected to perform equally in regard to the dependence on the reliability problem being addressed. Cross application of methodologies, bridging the gap between methodology and application, and ensembles are some of new areas of research interest identified. One of the major critical considerations for adaptive metamodeling, and that has been target of limited research, is the need for comprehensive techniques that allow a blind selection of the most adequate model with relation to the problem in–hand. To conclude, the extensive and comprehensive discussion presented aims to be a first step for the unification of the field of adaptive metamodeling in reliability; so that future implementations do not exclusively follow individual lines of research that progressively become more narrow in scope, but also seek transversal developments in the field of adaptive metamodeling for reliability analysis.

中文翻译：

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基于元模型的可靠性分析中的自适应方法：综述

摘要 目前的工作回顾了用于可靠性分析的自适应元建模的实现，重点是四种主要类型的元模型：响应面、多项式混沌展开、支持向量机和克里金模型。所提出的讨论是由已确定的传播和可靠性元建模技术之间的很少交互所激发的，这使得从业者决定在实现的上下文中考虑哪一种是具有挑战性的。提出了可靠性分析的概念问题和四种模型的理论描述，并辅以对应用的比较讨论，并确定了新的兴趣领域。回顾了影响自适应元建模效率的不同考虑因素，扩展到所研究的四种模型的适用性讨论。尽管所有自适应技术都有助于在可靠性分析所需的工作量方面取得显着收益，并且在准确性方面的权衡最小，但不应期望它们在对所解决的可靠性问题的依赖性方面表现相同。方法论的交叉应用，弥合方法论和应用之间的差距，以及集成是一些新的研究兴趣领域。自适应元建模的主要关键考虑因素之一，也是有限研究的目标，是需要综合技术，允许盲目选择与手头问题相关的最合适的模型。总结一下，所提出的广泛而全面的讨论旨在成为统一可靠性自适应元建模领域的第一步；以便未来的实施不仅遵循范围逐渐变窄的个别研究路线，而且还寻求可靠性分析自适应元建模领域的横向发展。