Abstract Design of structural and multidisciplinary systems under uncertainties requires
estimation of their reliability or equivalently the probability of failure under the given …

The estimation of system failure probabilities may be a difficult task when the values
involved are very small, so that sampling-based Monte Carlo methods may become …

Owing to its time-consuming computation of complex structural responses, structural
reliability analysis is still one of the challenging tasks. In this work, based on the FORM, the …

Monte Carlo simulation requires a large number of sampling points. In a Monte Carlo
simulation, the performance function is calculated for all sampling points to determine the …

The sleeper/ballast interface is an essential stage in the transfer of train loads from a railway
track structure into the ground. Generally, only a small number of ballast grains support the …

In this study, a subset simulation-based methodology is developed to evaluate the time-
dependent reliability of the corroding pipeline with multiple correlated corrosion defects. Two …

A major challenge in scenario analysis for the safety assessment of nuclear waste
repositories pertains to the comprehensiveness of the set of scenarios selected for …

Abstract An Adaptive Metamodel-Based Subset Importance Sampling (AM-SIS) approach,
previously developed by the authors, is here employed to assess the (small) functional …

This paper proposes an efficient method for evaluating composite system reliability via
subset simulation. The central idea is that a small failure probability can be expressed as a …

Rare events are events that are expected to occur infrequently, or more technically, those
that have low probabilities (say, order of $10^{-3} $ or less) of occurring according to a …