On asymptotic approach to reliability improvement of multi-state systems with components quantitative and qualitative redundancy: series and parallel systems
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چکیده
Most real systems are very complex and it is difficult to analyze and to improve their reliability. Large numbers of components and subsystems and their operating complexity cause that the evaluation of their reliability is complicated. As a rule these are series systems, parallel systems or “m out of n” systems composed of a large number of components. One of the important techniques for reliability evaluation of large systems is the asymptotic approach. The mathematical methods are based on the limit theorems of order statistics distributions considered in a wide literature. These theorems generated investigations on limit reliability functions for systems with two-state components. Next, more general systems with multistate components began to be considered. The asymptotic approach is also very useful in reliability improvement of large multi-state systems because of simplifying the calculation.
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