Combination line sampling for structural reliability analysis

Line sampling is a method for efficient estimation of the failure (or rare event) probability. The generates set samples on hyperplane perpendicular to an important direction that points towards domain, and estimates probability as sample mean one-dimensional integrals. performance strongly depends quality chosen direction. Recently, adaptive approach adjusting during simulation has been proposed, termed advanced line (ALS). This contribution revisits ALS shows estimator can be viewed combination estimators, each one corresponding in sequence. We show implied by original suboptimal propose alternative estimators. resulting (CLS). demonstrate through three numerical examples CLS outperforms estimator, particular if initially selected poor.