Approximate instantaneous availability and its error analysis

Yi Yang; Yongli Yu; Lichao Wang; Rui Kang

doi:10.1109/ICRMS.2011.5979288

Approximate instantaneous availability and its error analysis

Yi Yang^*
, Yongli Yu
, Lichao Wang
, Rui Kang

^*此作品的通讯作者

可靠性与系统工程学院

Beihang University
China Astronaut Research and Training Center
Ordnance Engineering College

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

6 引用（Scopus）

摘要

The one-unit repairable system is studied in this paper, whose lifetime, repair time and repair-delayed time are all supposed to be random variables with general distributions. The instantaneous availability satisfying a second type Volterra integral equation which is solved by a successive approximation approach in this paper, and then the approximate instantaneous availability is obtained. Furthermore, the physical meaning of the approximate instantaneous availability and its error function are both analyzed. Then we get the conclusion that the approximate instantaneous availability can be used to substitute the real one to some extent, whose validity is verified by some numerical examples finally.

源语言	英语
主期刊名	ICRMS'2011 - Safety First, Reliability Primary
主期刊副标题	Proceedings of 2011 9th International Conference on Reliability, Maintainability and Safety
页	339-343
页数	5
DOI	https://doi.org/10.1109/ICRMS.2011.5979288
出版状态	已出版 - 2011
活动	2011 9th International Conference on Reliability, Maintainability and Safety: Safety First, Reliability Primary, ICRMS'2011 - Guiyang, 中国期限: 12 6月 2011 → 15 6月 2011

出版系列

姓名	ICRMS'2011 - Safety First, Reliability Primary: Proceedings of 2011 9th International Conference on Reliability, Maintainability and Safety

会议

会议	2011 9th International Conference on Reliability, Maintainability and Safety: Safety First, Reliability Primary, ICRMS'2011
国家/地区	中国
市	Guiyang
时期	12/06/11 → 15/06/11

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10.1109/ICRMS.2011.5979288

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链接到 Scopus 的出版物

引用此

Yang, Y., Yu, Y., Wang, L., & Kang, R. (2011). Approximate instantaneous availability and its error analysis. 在 ICRMS'2011 - Safety First, Reliability Primary: Proceedings of 2011 9th International Conference on Reliability, Maintainability and Safety (页码 339-343). 文章 5979288 (ICRMS'2011 - Safety First, Reliability Primary: Proceedings of 2011 9th International Conference on Reliability, Maintainability and Safety). https://doi.org/10.1109/ICRMS.2011.5979288

Yang, Yi ; Yu, Yongli ; Wang, Lichao 等. / Approximate instantaneous availability and its error analysis. ICRMS'2011 - Safety First, Reliability Primary: Proceedings of 2011 9th International Conference on Reliability, Maintainability and Safety. 2011. 页码 339-343 (ICRMS'2011 - Safety First, Reliability Primary: Proceedings of 2011 9th International Conference on Reliability, Maintainability and Safety).

@inproceedings{b5a4c0b32cc04f83a2ebc22d022ec28d,

title = "Approximate instantaneous availability and its error analysis",

abstract = "The one-unit repairable system is studied in this paper, whose lifetime, repair time and repair-delayed time are all supposed to be random variables with general distributions. The instantaneous availability satisfying a second type Volterra integral equation which is solved by a successive approximation approach in this paper, and then the approximate instantaneous availability is obtained. Furthermore, the physical meaning of the approximate instantaneous availability and its error function are both analyzed. Then we get the conclusion that the approximate instantaneous availability can be used to substitute the real one to some extent, whose validity is verified by some numerical examples finally.",

keywords = "error function, instantaneous availability, integral equation, successive approximation",

author = "Yi Yang and Yongli Yu and Lichao Wang and Rui Kang",

year = "2011",

doi = "10.1109/ICRMS.2011.5979288",

language = "英语",

isbn = "9781612846644",

series = "ICRMS'2011 - Safety First, Reliability Primary: Proceedings of 2011 9th International Conference on Reliability, Maintainability and Safety",

pages = "339--343",

booktitle = "ICRMS'2011 - Safety First, Reliability Primary",

note = "2011 9th International Conference on Reliability, Maintainability and Safety: Safety First, Reliability Primary, ICRMS'2011 ; Conference date: 12-06-2011 Through 15-06-2011",

}

Yang, Y, Yu, Y, Wang, L & Kang, R 2011, Approximate instantaneous availability and its error analysis. 在 ICRMS'2011 - Safety First, Reliability Primary: Proceedings of 2011 9th International Conference on Reliability, Maintainability and Safety., 5979288, ICRMS'2011 - Safety First, Reliability Primary: Proceedings of 2011 9th International Conference on Reliability, Maintainability and Safety, 页码 339-343, 2011 9th International Conference on Reliability, Maintainability and Safety: Safety First, Reliability Primary, ICRMS'2011, Guiyang, 中国, 12/06/11. https://doi.org/10.1109/ICRMS.2011.5979288

Approximate instantaneous availability and its error analysis. / Yang, Yi; Yu, Yongli; Wang, Lichao 等.
ICRMS'2011 - Safety First, Reliability Primary: Proceedings of 2011 9th International Conference on Reliability, Maintainability and Safety. 2011. 页码 339-343 5979288 (ICRMS'2011 - Safety First, Reliability Primary: Proceedings of 2011 9th International Conference on Reliability, Maintainability and Safety).

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

TY - GEN

T1 - Approximate instantaneous availability and its error analysis

AU - Yang, Yi

AU - Yu, Yongli

AU - Wang, Lichao

AU - Kang, Rui

PY - 2011

Y1 - 2011

N2 - The one-unit repairable system is studied in this paper, whose lifetime, repair time and repair-delayed time are all supposed to be random variables with general distributions. The instantaneous availability satisfying a second type Volterra integral equation which is solved by a successive approximation approach in this paper, and then the approximate instantaneous availability is obtained. Furthermore, the physical meaning of the approximate instantaneous availability and its error function are both analyzed. Then we get the conclusion that the approximate instantaneous availability can be used to substitute the real one to some extent, whose validity is verified by some numerical examples finally.

AB - The one-unit repairable system is studied in this paper, whose lifetime, repair time and repair-delayed time are all supposed to be random variables with general distributions. The instantaneous availability satisfying a second type Volterra integral equation which is solved by a successive approximation approach in this paper, and then the approximate instantaneous availability is obtained. Furthermore, the physical meaning of the approximate instantaneous availability and its error function are both analyzed. Then we get the conclusion that the approximate instantaneous availability can be used to substitute the real one to some extent, whose validity is verified by some numerical examples finally.

KW - error function

KW - instantaneous availability

KW - integral equation

KW - successive approximation

UR - https://www.scopus.com/pages/publications/80052457352

U2 - 10.1109/ICRMS.2011.5979288

DO - 10.1109/ICRMS.2011.5979288

M3 - 会议稿件

AN - SCOPUS:80052457352

SN - 9781612846644

T3 - ICRMS'2011 - Safety First, Reliability Primary: Proceedings of 2011 9th International Conference on Reliability, Maintainability and Safety

SP - 339

EP - 343

BT - ICRMS'2011 - Safety First, Reliability Primary

T2 - 2011 9th International Conference on Reliability, Maintainability and Safety: Safety First, Reliability Primary, ICRMS'2011

Y2 - 12 June 2011 through 15 June 2011

ER -

Yang Y, Yu Y, Wang L, Kang R. Approximate instantaneous availability and its error analysis. 在 ICRMS'2011 - Safety First, Reliability Primary: Proceedings of 2011 9th International Conference on Reliability, Maintainability and Safety. 2011. 页码 339-343. 5979288. (ICRMS'2011 - Safety First, Reliability Primary: Proceedings of 2011 9th International Conference on Reliability, Maintainability and Safety). doi: 10.1109/ICRMS.2011.5979288

Approximate instantaneous availability and its error analysis

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