The results show:the important sampling method can greatly imporve calculation s efficiency.

Digital simulation of fuzzy reliability based on the importance sampling method;

An adaptive importance sampling algorithm is presented to evaluate fuzzy-random general failure probability,where a simulated annealing optimization is employed to seek the fuzzy-random design point—the Most Probable Failure Point(MPFP) in the failure region.

The zero-variance technique is used to analyze a highly efficient importance sampling method developed by S.

Owing to the fact that the structural system reliability can be formulated by the main failure modes,the RPAM is used to evaluate the structural system earthquake resistant reliability,and its precision is verified by the importance sampling method.

In this paper, JC method, random throwing - dot method and the importance sampling method of Monte - Carlo Method are adopted to calculate the failure probability and the reliability index of foundation bearing capacity.

The application of the importance sampling method in the engineering examples,including an unstable problem and the total life of crack initiating and crack expanding,is discussed in the paper.

This paper describes the difficulty of rare-event probability estimation using digital simulation method in the view of computation complexity, and focuses on the principles and construction methods of importance sampling plan.

The undetected error probability of linear block codes for both error detection and correction is estimated with importance sampling.

And the importance sampling technique is applied to improve the sampling efficiency.

Computation of power penalty due to combined polarization effects using multiple importance sampling;