This paper reviews the mathematical foundation of the importance sampling technique and
discusses two general classes of methods to construct the importance sampling density (or …

The present work reviews the implementation of adaptive metamodeling for reliability
analysis with emphasis in four main types of metamodels: response surfaces, polynomial …

The classical reliability analysis methods, due to the ever-increasing complexity of
engineering structure, may lead to higher and higher calculation errors and costs. The …

Reliability analysis of a complex system is challenging because of complex failure regions
and frequent requirement of time-consuming simulations. To address these problems …

Subset simulation (SS) is a powerful reliability analysis method by transforming a rare failure
event into a sequence of multiple intermediate failure events with larger probabilities …

Owing to the tremendous computational cost of simulation for large-scale engineering
structures, surrogate model method is widely used as a sample classifier in structural …

Reliability analysis for structural systems with multiple failure modes and expensive-to-
evaluate simulations is challenging. In this paper, a new and efficient system reliability …

Monte Carlo methods have attracted constant and even increasing attention in structural
reliability analysis with a wide variety of developments seamlessly presented over decades …

In this paper, a prediction-oriented active sparse polynomial chaos expansion (PAS-PCE) is
proposed for reliability analysis. Instead of leveraging on additional techniques to reduce the …

Response surface methods (RSMs) have been developed to improve the efficiency of
reliability analysis for computationally time-consuming systems. Most RSMs cannot self …