IEICE TRANSACTIONS on Fundamentals
Number of Failed Components in Consecutive-k-out-of-n:G Systems and Their Applications in Optimization Problems
Summary :
In this paper, we study the number of failed components in a consecutive-k-out-of-n:G system. The distributions and expected values of the number of failed components when system is failed or working at a particular time t are evaluated. We also apply them to the optimization problems concerned with the optimal number of components and the optimal replacement time. Finally, we present the illustrative examples for the expected number of failed components and give the numerical results for the optimization problems.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E105-A No.6 pp.943-951
- Publication Date
- 2022/06/01
- Publicized
- 2021/12/16
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2021EAP1042
- Type of Manuscript
- PAPER
- Category
- Reliability, Maintainability and Safety Analysis
Authors
Lei ZHOU
Tokyo Metropolitan University
Hisashi YAMAMOTO
Tokyo Metropolitan University
Keyword
Latest Issue
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Lei ZHOU, Hisashi YAMAMOTO, "Number of Failed Components in Consecutive-k-out-of-n:G Systems and Their Applications in Optimization Problems" in IEICE TRANSACTIONS on Fundamentals,
vol. E105-A, no. 6, pp. 943-951, June 2022, doi: 10.1587/transfun.2021EAP1042.
Abstract: In this paper, we study the number of failed components in a consecutive-k-out-of-n:G system. The distributions and expected values of the number of failed components when system is failed or working at a particular time t are evaluated. We also apply them to the optimization problems concerned with the optimal number of components and the optimal replacement time. Finally, we present the illustrative examples for the expected number of failed components and give the numerical results for the optimization problems.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2021EAP1042/_p
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@ARTICLE{e105-a_6_943,
author={Lei ZHOU, Hisashi YAMAMOTO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Number of Failed Components in Consecutive-k-out-of-n:G Systems and Their Applications in Optimization Problems},
year={2022},
volume={E105-A},
number={6},
pages={943-951},
abstract={In this paper, we study the number of failed components in a consecutive-k-out-of-n:G system. The distributions and expected values of the number of failed components when system is failed or working at a particular time t are evaluated. We also apply them to the optimization problems concerned with the optimal number of components and the optimal replacement time. Finally, we present the illustrative examples for the expected number of failed components and give the numerical results for the optimization problems.},
keywords={},
doi={10.1587/transfun.2021EAP1042},
ISSN={1745-1337},
month={June},}
Copy
TY - JOUR
TI - Number of Failed Components in Consecutive-k-out-of-n:G Systems and Their Applications in Optimization Problems
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 943
EP - 951
AU - Lei ZHOU
AU - Hisashi YAMAMOTO
PY - 2022
DO - 10.1587/transfun.2021EAP1042
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E105-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2022
AB - In this paper, we study the number of failed components in a consecutive-k-out-of-n:G system. The distributions and expected values of the number of failed components when system is failed or working at a particular time t are evaluated. We also apply them to the optimization problems concerned with the optimal number of components and the optimal replacement time. Finally, we present the illustrative examples for the expected number of failed components and give the numerical results for the optimization problems.
ER -
English
