The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
신뢰성공학 분야에서는 1960년대부터 부품과 전체 시스템 간의 신뢰성 관계에 대한 많은 연구가 진행되어 왔다. 극한 정리를 통해 대규모 시스템의 다양한 특성을 연구할 수 있습니다. 또한 극한 정리는 대략적인 시스템 신뢰도를 제공할 수 있습니다. 기존 연구에서는 연결된 -(r, s)-아웃-(m, n):동일한 신뢰성을 지닌 구성 요소로 구성된 F 격자 시스템. 그러나 기존 극한 정리는 (a) 시스템 형태와 (b) 정리가 적용될 수 있는 조건 측면에서 제약을 받습니다. 따라서 본 연구에서는 앞서 언급한 두 가지 방향을 따라 기존의 극한정리를 일반화한다. 본 논문에서 확립된 극한 정리는 대규모 연결의 신뢰성 특성을 밝히는 데 유용할 수 있습니다.r, s)-아웃-(m, n):F 격자 시스템.
Koki YAMADA
Tokyo Metropolitan University
Taishin NAKAMURA
Tokai University
Hisashi YAMAMOTO
Tokyo Metropolitan University
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부
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
부
@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},}
부
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 -