The first-order reliability method (FORM) is commonly used in the field of structural reliability
analysis, which transforms the reliability analysis problem into the solution of an optimization …

The accurate estimations of the failure probability with low-computational burden play a vital
role in structural reliability analyses. Due to high-calculation cost and time-consuming Monte …

Computing the sensitivity vector in the traditional first order reliability method may provide
inaccurate reliability outcomes for discrete performance functions and inefficient …

This paper presents the state of the art in Structural Reliability Analysis (SRA) methods with
a view of identifying key applications of each method and its proposed variations, qualifying …

The ever-increasing demands for resource-saving, engineering technology progress, and
environmental protection stimulate the progress of the progressive design method. As an …

As one of the multidisciplinary design optimization methods, the collaborative optimization
(CO) can enjoy a high degree of discipline autonomy. It has received extensive attention and …

Due to its advantages of simplicity and high efficiency, Hasofer–Lind and Rackwitz–Fiessler
(HL–RF) method is widely used in structural reliability analysis. However, it may encounter …

Abstract Design of experiment and active learning strategy are vital for the surrogate-based
reliability analysis. However, the existing sampling and modeling methods usually ignore …

Abstract The Most Probable Point (MPP) is typically searched by transforming the basic
random variables from original to standard normal space in the traditional first order …

The surrogate-model based active learning method has a satisfactory trade-off between
efficiency and accuracy, which has been widely used in reliability analysis. In this paper, an …