Computation of signatures of coherent systems with five components
Résumé
The signatures of coherent systems are useful tools to compute the system reliability functions, the system expected lifetimes and to compare different systems using stochastic orderings. It is well known that there exist 2, 5 and 20 different coherent systems with 2, 3 and 4 components, respectively. In this paper, we obtain an algorithm to compute all the coherent systems with n components and their signatures. Using this algorithm we show that there exist 180 coherent systems with 5 components and we compute their signatures.
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