Fluctuation Analysis of Instantaneous Availability for the Parallel Repairable Systems

Yi Yang; Qianbin Li; Xuefeng Chen; Rui Kang

doi:10.1109/ACCESS.2019.2909755

Fluctuation Analysis of Instantaneous Availability for the Parallel Repairable Systems

Yi Yang^*
, Qianbin Li
, Xuefeng Chen
, Rui Kang

^*此作品的通讯作者

可靠性与系统工程学院

Beihang University
Nanjing University of Science and Technology

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

This paper is aimed to study the fluctuation of the instantaneous availability (IA) for the parallel repairable system. First, the Markov model of IA for the two-unit parallel system with two states (up and down) under exponential distribution is established. Next, by Laplace transformation, the analytical solution of IA is obtained. The fluctuation of IA is analyzed according to the fluctuation theories. Then, in the same way, the fluctuation of IA for the n -unit parallel system with two states is analyzed, where the n units of the system are all same. Finally, some numerical examples are provided to show the effectiveness of the results in this paper.

源语言	英语
文章编号	8693494
页（从-至）	53358-53364
页数	7
期刊	IEEE Access
卷	7
DOI	https://doi.org/10.1109/ACCESS.2019.2909755
出版状态	已出版 - 2019

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title = "Fluctuation Analysis of Instantaneous Availability for the Parallel Repairable Systems",

abstract = "This paper is aimed to study the fluctuation of the instantaneous availability (IA) for the parallel repairable system. First, the Markov model of IA for the two-unit parallel system with two states (up and down) under exponential distribution is established. Next, by Laplace transformation, the analytical solution of IA is obtained. The fluctuation of IA is analyzed according to the fluctuation theories. Then, in the same way, the fluctuation of IA for the n -unit parallel system with two states is analyzed, where the n units of the system are all same. Finally, some numerical examples are provided to show the effectiveness of the results in this paper.",

keywords = "Fluctuation, Markov model, instantaneous availability, the parallel system",

author = "Yi Yang and Qianbin Li and Xuefeng Chen and Rui Kang",

note = "Publisher Copyright: {\textcopyright} 2013 IEEE.",

year = "2019",

doi = "10.1109/ACCESS.2019.2909755",

language = "英语",

volume = "7",

pages = "53358--53364",

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TY - JOUR

T1 - Fluctuation Analysis of Instantaneous Availability for the Parallel Repairable Systems

AU - Yang, Yi

AU - Li, Qianbin

AU - Chen, Xuefeng

AU - Kang, Rui

PY - 2019

Y1 - 2019

N2 - This paper is aimed to study the fluctuation of the instantaneous availability (IA) for the parallel repairable system. First, the Markov model of IA for the two-unit parallel system with two states (up and down) under exponential distribution is established. Next, by Laplace transformation, the analytical solution of IA is obtained. The fluctuation of IA is analyzed according to the fluctuation theories. Then, in the same way, the fluctuation of IA for the n -unit parallel system with two states is analyzed, where the n units of the system are all same. Finally, some numerical examples are provided to show the effectiveness of the results in this paper.

AB - This paper is aimed to study the fluctuation of the instantaneous availability (IA) for the parallel repairable system. First, the Markov model of IA for the two-unit parallel system with two states (up and down) under exponential distribution is established. Next, by Laplace transformation, the analytical solution of IA is obtained. The fluctuation of IA is analyzed according to the fluctuation theories. Then, in the same way, the fluctuation of IA for the n -unit parallel system with two states is analyzed, where the n units of the system are all same. Finally, some numerical examples are provided to show the effectiveness of the results in this paper.

KW - Fluctuation

KW - Markov model

KW - instantaneous availability

KW - the parallel system

UR - https://www.scopus.com/pages/publications/85065400199

U2 - 10.1109/ACCESS.2019.2909755

DO - 10.1109/ACCESS.2019.2909755

M3 - 文章

AN - SCOPUS:85065400199

SN - 2169-3536

VL - 7

SP - 53358

EP - 53364

JO - IEEE Access

JF - IEEE Access

M1 - 8693494

ER -

Fluctuation Analysis of Instantaneous Availability for the Parallel Repairable Systems

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