The classes of asymptotic reliability functions for series-parallel and parallel-series systems
✍ Scribed by Krzysztof Kołowrocki
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 635 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0951-8320
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✦ Synopsis
In this paper ten-element classes of limit reliability functions for series-parallel and parallel-series systems with identical components are presented. Next, the results are transferred to the systems with non-identical components. These systems are such that at least the number of their series or the number of their parallel components tends to infinity. The classes are more extensive than the known classes of limit distributions of minimax and maximin statistics of independent random variables with the same distributions. The results can be useful in the reliability evaluation of large systems, especially in design problems.
📜 SIMILAR VOLUMES
## Abstract A class of graphs ${\cal C}$ ordered by the homomorphism relation is __universal__ if every countable partial order can be embedded in ${\cal C}$. It is known (see [1,3]) that the class $\cal C\_{k}$ of __k__‐colorable graphs, for any fixed ${k}\geq 3 $, induces a universal partial orde