IEICE TRANSACTIONS on Fundamentals
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
Authors
Keyword
Latest Issue
Copyrights notice of machine-translated contents
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Cite this
Copy
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
Copy
@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
