@Article{cmes.2021.010482,
AUTHOR = {Xiukai Yuan, Jian Gu, Shaolong Liu},
TITLE = {Sensitivity of Sample for Simulation-Based Reliability Analysis Methods},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {126},
YEAR = {2021},
NUMBER = {1},
PAGES = {331--357},
URL = {http://www.techscience.com/CMES/v126n1/40862},
ISSN = {1526-1506},
ABSTRACT = {In structural reliability analysis, simulation methods are widely used.
The statistical characteristics of failure probability estimate of these methods have been well investigated. In this study, the sensitivities of the failure
probability estimate and its statistical characteristics with regard to sample,
called ‘contribution indexes’, are proposed to measure the contribution of
sample. The contribution indexes in four widely simulation methods, i.e.,
Monte Carlo simulation (MCS), importance sampling (IS), line sampling (LS)
and subset simulation (SS) are derived and analyzed. The proposed contribution indexes of sample can provide valuable information understanding
the methods deeply, and enlighten potential improvement of methods. It is
found that the main differences between these investigated methods lie in the
contribution indexes of the safety samples, which are the main factors to the
efficiency of the methods. Moreover, numerical examples are used to validate
these findings.},
DOI = {10.32604/cmes.2021.010482}
}