Let g:Ω=[0,1] d →ℝ denote a Lipschitz function that can be evaluated at each point, but the price of heavy computational time. X stand for random variable with values in Ω such one is able to simulate, least approximately, according restriction law any subset Ω. For example, thanks Markov chain Monte Carlo techniques, this always possible when admits density known up normalizing constant. In co...

Many safety-critical real-time systems are considered certified when they meet failure probability requirements with respect to the maximum permitted incidences of per hour. In this article, mixed-criticality task model multiple worst case execution time (WCET) estimations is extended incorporate such system-level certification restrictions. A new parameter added each task, characterizing distr...

Maritime transportation is the essence of international economy. Today, about ninety percent world trade carried out by sea through 50,000 merchant ships. Most these vessels are powered mainline diesel engines due to their reliability and fuel efficiency. Reliability system elements in general depends on random failures, significant wear during operation, additional start-up. Accidental damage ...

A novel method (the V-shaped curve) is presented to predict the failure probability of anisotropic conductive film (ACF) in IC/substrate assemblies. The Poisson function is used to calculate the probability of opening failure in the vertical gap between the pads, while the box and modified box models are used to estimate the probability of bridging failure between the pads in the pitch directio...

In the practical engineering, to answer the small failure probabilities with correlated highdimensional variables, the subset simulation (SS) is combined together with the Monte Carlo simulation and importance sampling (IS) method. The samples from the probability density functions of the importance sampling are used to construct the intermediate failure events, by which the small failure proba...

We propose an algorithm for selection of points from the design domain small to moderate dimension and failure probability estimation. The proposed active learning detects events progressively refines boundary between safe domains thereby improving method is particularly useful when each evaluation performance function g(x) very expensive can be characterized as either highly nonlinear, noisy, ...

With the evolution of technology, the maintenance of sophisticated systems is of concern for system engineers and system designers. The maintenance cost of the system depends in general on the replacement and repair policies. The system replacement may be in a strictly periodic fashion or on a random basis depending upon the maintenance policy. At failure, the repair of the system may be perfor...