MTBF for Consecutive-k-out-of-n: F Systems with Nonidentical Component Availabilities
Summary :
Mean Time Between Failures (MTBF) is an important measure of practical repairable systems, but it has not been obtained for a repairable linear consecutive-k-out-of-n: F system. We first present a general formula for the (steady-state) availability of a repairable linear consecutive-k-out-of-n: F system with nonidentical components by employing the cut set approach or a topological availability method. Second, we present a general formula for frequency of system failures of a repairable linear consecutive-k-out-of-n: F system with nonidentical components. Then the MTBF for the repairable linear consecutive-k-out-of-n: F system is shown by using the frequency of system failure and availability. Lastly, we derive some figures which show the relationship between the MTBF and repair rate µorρ(=λ/µ) in the repairable linear consecutive-k-out-of-n: F system. The figures can be easily used and are useful for reliability design.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E77-A No.1 pp.122-128
- Publication Date
- 1994/01/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Reliability)
- Category
- System Reliability
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Masafumi SASAKI, Naohiko YAMAGUCHI, Tetsushi YUGE, Shigeru YANAGI, "MTBF for Consecutive-k-out-of-n: F Systems with Nonidentical Component Availabilities" in IEICE TRANSACTIONS on Fundamentals,
vol. E77-A, no. 1, pp. 122-128, January 1994, doi: .
Abstract: Mean Time Between Failures (MTBF) is an important measure of practical repairable systems, but it has not been obtained for a repairable linear consecutive-k-out-of-n: F system. We first present a general formula for the (steady-state) availability of a repairable linear consecutive-k-out-of-n: F system with nonidentical components by employing the cut set approach or a topological availability method. Second, we present a general formula for frequency of system failures of a repairable linear consecutive-k-out-of-n: F system with nonidentical components. Then the MTBF for the repairable linear consecutive-k-out-of-n: F system is shown by using the frequency of system failure and availability. Lastly, we derive some figures which show the relationship between the MTBF and repair rate µorρ(=λ/µ) in the repairable linear consecutive-k-out-of-n: F system. The figures can be easily used and are useful for reliability design.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e77-a_1_122/_p
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@ARTICLE{e77-a_1_122,
author={Masafumi SASAKI, Naohiko YAMAGUCHI, Tetsushi YUGE, Shigeru YANAGI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={MTBF for Consecutive-k-out-of-n: F Systems with Nonidentical Component Availabilities},
year={1994},
volume={E77-A},
number={1},
pages={122-128},
abstract={Mean Time Between Failures (MTBF) is an important measure of practical repairable systems, but it has not been obtained for a repairable linear consecutive-k-out-of-n: F system. We first present a general formula for the (steady-state) availability of a repairable linear consecutive-k-out-of-n: F system with nonidentical components by employing the cut set approach or a topological availability method. Second, we present a general formula for frequency of system failures of a repairable linear consecutive-k-out-of-n: F system with nonidentical components. Then the MTBF for the repairable linear consecutive-k-out-of-n: F system is shown by using the frequency of system failure and availability. Lastly, we derive some figures which show the relationship between the MTBF and repair rate µorρ(=λ/µ) in the repairable linear consecutive-k-out-of-n: F system. The figures can be easily used and are useful for reliability design.},
keywords={},
doi={},
ISSN={},
month={January},}
Copy
TY - JOUR
TI - MTBF for Consecutive-k-out-of-n: F Systems with Nonidentical Component Availabilities
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 122
EP - 128
AU - Masafumi SASAKI
AU - Naohiko YAMAGUCHI
AU - Tetsushi YUGE
AU - Shigeru YANAGI
PY - 1994
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E77-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 1994
AB - Mean Time Between Failures (MTBF) is an important measure of practical repairable systems, but it has not been obtained for a repairable linear consecutive-k-out-of-n: F system. We first present a general formula for the (steady-state) availability of a repairable linear consecutive-k-out-of-n: F system with nonidentical components by employing the cut set approach or a topological availability method. Second, we present a general formula for frequency of system failures of a repairable linear consecutive-k-out-of-n: F system with nonidentical components. Then the MTBF for the repairable linear consecutive-k-out-of-n: F system is shown by using the frequency of system failure and availability. Lastly, we derive some figures which show the relationship between the MTBF and repair rate µorρ(=λ/µ) in the repairable linear consecutive-k-out-of-n: F system. The figures can be easily used and are useful for reliability design.
ER -
English
