Response surface methods which approximate the actual performance function using simple algebraic equations are widely used in structural reliability studies. The response surface approximations are often used to estimate the reliability of a structure. Errors in the response surface approximation affect the results of reliability analysis. This work investigates the error in the failure probab...

Reliability sensitivity analysis aims at studying the influence of the parameters in the probabilistic model onto the probability of failure of a given system. Such an influence may either be quantified on a given range of values of the parameters of interest using a parametric analysis, or only locally by means of its partial derivatives. This paper is concerned with the latter approach when t...

The machine repair problem with spares and additional repairman is analyzed. The interfailure and repair times of the units are general identical and independently distributed. The failure and repair rates are assumed to be state dependent. Using diffusion approximation technique, we obtain the queue size distribution under steady state. The average number of failed units, average number of ope...

Failure propagation analysis is the cornerstone to assure safe operation, predicative maintenance for equipment integrated system. Study the failure propagation mechanism of complex system on the basis system directed network constructed. The grade diffusing process widely used is described with the fault propagation probability and constrains. According to the fault information of nodes and ed...

Estimation of the failure probability, that is, the probability of unacceptable system performance, is an important and computationally challenging problem in reliability engineering. In cases of practical interest, the failure probability is given by an integral over a high-dimensional uncertain parameter space. Over the past decade, the engineering research community has realized the importan...

A generalized numerical framework is presented for constructing computational models capable of processing inputs defined as sets of probability distribution functions and sets of intervals. The framework implements a novel solution strategy that couples advanced sampling-based methods and optimization procedures, and provides a credible tool for calculating imprecise measure of failure probabi...

This study presents a methodology to convert an RBDO problem requiring very high reliability to an RBDO problem requiring relatively low reliability by increasing input standard deviations for efficient computation in sampling-based RBDO. First, for linear performance functions with independent normal random inputs, an exact probability of failure is derived in terms of the ratio of the input s...

This paper presents a new and alternative univariate method for predicting component reliability of mechanical systems subject to random loads, material properties, and geometry. The method involves novel function decomposition at a most probable point that facilitates the univariate approximation of a general multivariate function in the rotated Gaussian space and one-dimensional integrations ...

Mesh networks are among the most important interconnection network topologies for large multicomputer systems. Mesh networks perform poorly in tolerating faults in the view of worst-case analysis. On the other hand, such worst cases occur very rarely in realistic situations. In this paper, we study the fault tolerance of 2-D and 3-D mesh networks under a more realistic model in which each netwo...

in this paper, efforts are made to compare the safety of steel moment resistant frames designed according to different editions of the iranian code of practice for seismic resistant design of buildings. also, failure risk of a low and medium height frame which designed for high and low seismicity regions according to three editions of the code are evaluated. first, the testing cases were design...