Title: Reliabilities for (n,f,k) systems
Authors: Chang, GJ
Cui, LR
Hwang, FK
應用數學系
Department of Applied Mathematics
Keywords: consecutive system;Markov chain;(n,f,k) system;operations;reliability
Issue Date: 1-Jul-1999
Abstract: The (n, f, k) system consists of n components ordered in a line or a cycle, while the system fails if, and only if, there exist at least f failed components or at least k consecutive failed components. For the linear (n, f, k) system with equal component reliabilities, the system reliability formula was given by Sun and Liao (1990). In this paper, we obtain the system reliability formulas for the linear and the circular systems with different component reliabilities by means of a Markov chain method. (C) 1999 Elsevier Science B.V. All rights reserved.
URI: http://hdl.handle.net/11536/31223
ISSN: 0167-7152
Journal: STATISTICS & PROBABILITY LETTERS
Volume: 43
Issue: 3
Begin Page: 237
End Page: 242
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