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The next series of chapters from invited authors are introduced relating to methods in reliability for developing components and systems.
In this first exposition of MLMC methods in reliability problems we address the canonical problem of estimating the expectation of a functional of system lifetime for non-repairable and repairable components, demonstrating the computational advantages compared to classical Monte Carlo methods.
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Response surface method (RS M is another common method in reliability analysis.
However, following this extensive method in reliability calculation poses a computational problem for systems of a practical scale.
Besides, the number of function evaluations of the proposed method in reliability analysis, which is determined by UT, is really small.
It is also shown that due to this interdependency of the variables, the application of JDRV method in reliability assessment of rock slope stability will result in errors and hence, the MC method will be the preferable method.
The institutions evaluated conducted assessment of CBE using different and diverse methods, with variations in reliability.
This approach is different from the well-known application of the finite element method in structural reliability analysis [5].
We demonstrate effectiveness of the proposed method in estimating reliability sensitivities to both distribution and limit-state parameters with numerical examples.
A headless rivet model, a roof truss structure and a composite cantilever beam structure are analyzed, and the results demonstrate the effectiveness of the proposed method in global reliability sensitivity analysis.
The proposed method has applications in reliability analysis of vibrating structural series systems, where different failure modes are mutually dependent.
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