Bounds for increasing multi-state consecutive k-out-of-r-from-n: F system with equal components probabilities

Autor: A. Elsherbeny, R.O. Al-Seedy, Taha Radwan, A. Habib
Rok vydání: 2011
Předmět:
Zdroj: Applied Mathematical Modelling. 35:2366-2373
ISSN: 0307-904X
DOI: 10.1016/j.apm.2010.11.059
Popis: The consecutive k-out-of-r-from-n: F system was generalized to multi-state case. This system consists of n linearly ordered components which are at state below j if and only if at least kj components out of any r consecutive are in state below j. In this paper we suggest bounds of increasing multi-state consecutive-k-out-of-r-from-n: F system (k1 ⩽ k2 ⩽ ⋯ ⩽ kM) by applying second order Boole–Bonferroni bounds and applying Hunter–Worsley upper bound. Also numerical results are given. The programs in V.B.6 of the algorithms are available upon request from the authors.
Databáze: OpenAIRE
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