Reliability of Combined <i>m</i>-Consecutive-<i>k</i>-out-of-<i>n</i>:F and Consecutive <i>k<sub>c</sub></i>-out-of-<i>n</i>:F Systems
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Date
2012
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Ieee-inst Electrical Electronics Engineers inc
Abstract
A combined m-consecutive-k-out-of-n:F & consecutive-k(c)-out-of-n:F system consists of linearly ordered components, and fails iff there exist at least k(c) consecutive failed components, or at least m non-overlapping runs of k consecutive failed components. This structure has applications for modeling systems such as infrared detecting and signal processing, and bank automatic payment systems. In this paper, we derive a combinatorial equation for the number of path sets of this structure including a specified number of working components. This number is used to derive a reliability function, and a signature based survival function formulae, for the system consisting of i.i.d. components. We also obtain a combinatorial equation for the reliability of a system with Markov dependent components.
Description
Eryilmaz, Serkan/0000-0002-2108-1781
Keywords
Consecutive k(c)-out-of-n:F system, m-consecutive-k-out-of-n:F system, Markov dependence, mean time to failure, runs, signature, survival function
Turkish CoHE Thesis Center URL
Citation
15
WoS Q
Q1
Scopus Q
Source
Volume
61
Issue
1
Start Page
215
End Page
219