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Inequalities involving the lifetime of series and parallel systems

✍ Scribed by William E. Stein; Ronald Dattero; Roger C. Pfaffenberger


Book ID
102541838
Publisher
John Wiley and Sons
Year
1984
Tongue
English
Weight
230 KB
Volume
31
Category
Article
ISSN
0894-069X

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✦ Synopsis


It is shown that for all increasing and concave u. This generalizes a result of Kubat. When comparing two series systems with components of equal cost, one with lifetimes {X,} and the other with lifetimes { Y,}, it is shown that a risk-averse decision-maker will prefer the HNBUE system. Similar results are obtained for parallel systems.


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✍ Krzysztof KoΕ‚owrocki πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 635 KB

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