IEICE TRANSACTIONS on Fundamentals
Generalization of Limit Theorems for Connected-(r, s)-out-of- (m, n):F Lattice Systems
Summary :
In the field of reliability engineering, many studies on the relationship of reliability between components and the entire system have been conducted since the 1960s. Various properties of large-scale systems can be studied by limit theorems. In addition, the limit theorem can provide an approximate system reliability. Existing studies have established the limit theorems of a connected-(r, s)-out-of-(m, n):F lattice system consisting of components with the same reliability. However, the existing limit theorems are constrained in terms of (a) the system shape and (b) the condition under which the theorem can be applied. Therefore, this study generalizes the existing limit theorems along the two aforementioned directions. The limit theorem established in this paper can be useful for revealing the properties of the reliability of a large-scale connected-(r, s)-out-of-(m, n):F lattice system.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E105-A No.3 pp.562-570
- Publication Date
- 2022/03/01
- Publicized
- 2021/09/13
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2020EAP1145
- Type of Manuscript
- PAPER
- Category
- Reliability, Maintainability and Safety Analysis
Authors
Koki YAMADA
Tokyo Metropolitan University
Taishin NAKAMURA
Tokai University
Hisashi YAMAMOTO
Tokyo Metropolitan University
Keyword
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Koki YAMADA, Taishin NAKAMURA, Hisashi YAMAMOTO, "Generalization of Limit Theorems for Connected-(r, s)-out-of- (m, n):F Lattice Systems" in IEICE TRANSACTIONS on Fundamentals,
vol. E105-A, no. 3, pp. 562-570, March 2022, doi: 10.1587/transfun.2020EAP1145.
Abstract: In the field of reliability engineering, many studies on the relationship of reliability between components and the entire system have been conducted since the 1960s. Various properties of large-scale systems can be studied by limit theorems. In addition, the limit theorem can provide an approximate system reliability. Existing studies have established the limit theorems of a connected-(r, s)-out-of-(m, n):F lattice system consisting of components with the same reliability. However, the existing limit theorems are constrained in terms of (a) the system shape and (b) the condition under which the theorem can be applied. Therefore, this study generalizes the existing limit theorems along the two aforementioned directions. The limit theorem established in this paper can be useful for revealing the properties of the reliability of a large-scale connected-(r, s)-out-of-(m, n):F lattice system.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2020EAP1145/_p
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@ARTICLE{e105-a_3_562,
author={Koki YAMADA, Taishin NAKAMURA, Hisashi YAMAMOTO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Generalization of Limit Theorems for Connected-(r, s)-out-of- (m, n):F Lattice Systems},
year={2022},
volume={E105-A},
number={3},
pages={562-570},
abstract={In the field of reliability engineering, many studies on the relationship of reliability between components and the entire system have been conducted since the 1960s. Various properties of large-scale systems can be studied by limit theorems. In addition, the limit theorem can provide an approximate system reliability. Existing studies have established the limit theorems of a connected-(r, s)-out-of-(m, n):F lattice system consisting of components with the same reliability. However, the existing limit theorems are constrained in terms of (a) the system shape and (b) the condition under which the theorem can be applied. Therefore, this study generalizes the existing limit theorems along the two aforementioned directions. The limit theorem established in this paper can be useful for revealing the properties of the reliability of a large-scale connected-(r, s)-out-of-(m, n):F lattice system.},
keywords={},
doi={10.1587/transfun.2020EAP1145},
ISSN={1745-1337},
month={March},}
Copy
TY - JOUR
TI - Generalization of Limit Theorems for Connected-(r, s)-out-of- (m, n):F Lattice Systems
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 562
EP - 570
AU - Koki YAMADA
AU - Taishin NAKAMURA
AU - Hisashi YAMAMOTO
PY - 2022
DO - 10.1587/transfun.2020EAP1145
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E105-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2022
AB - In the field of reliability engineering, many studies on the relationship of reliability between components and the entire system have been conducted since the 1960s. Various properties of large-scale systems can be studied by limit theorems. In addition, the limit theorem can provide an approximate system reliability. Existing studies have established the limit theorems of a connected-(r, s)-out-of-(m, n):F lattice system consisting of components with the same reliability. However, the existing limit theorems are constrained in terms of (a) the system shape and (b) the condition under which the theorem can be applied. Therefore, this study generalizes the existing limit theorems along the two aforementioned directions. The limit theorem established in this paper can be useful for revealing the properties of the reliability of a large-scale connected-(r, s)-out-of-(m, n):F lattice system.
ER -
English
