Reliability Analysis of a Cold Standby System with Imperfect Repair and under Poisson Shocks
Joint Authors
Meng, Xianyun
Chen, Yutian
Chen, Shengqiang
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-22
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper considers the reliability analysis of a two-component cold standby system with a repairman who may have vacation.
The system may fail due to intrinsic factors like aging or deteriorating, or external factors such as Poisson shocks.
The arrival time of the shocks follows a Poisson process with the intensity λ>0.
Whenever the magnitude of a shock is larger than the prespecified threshold of the operating component, the operating component will fail.
The paper assumes that the intrinsic lifetime and the repair time on the component are an extended Poisson process, the magnitude of the shock and the threshold of the operating component are nonnegative random variables, and the vacation time of the repairman obeys the general continuous probability distribution.
By using the vector Markov process theory, the supplementary variable method, Laplace transform, and Tauberian theory, the paper derives a number of reliability indices: system availability, system reliability, the rate of occurrence of the system failure, and the mean time to the first failure of the system.
Finally, a numerical example is given to validate the derived indices.
American Psychological Association (APA)
Chen, Yutian& Meng, Xianyun& Chen, Shengqiang. 2014. Reliability Analysis of a Cold Standby System with Imperfect Repair and under Poisson Shocks. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-477178
Modern Language Association (MLA)
Chen, Yutian…[et al.]. Reliability Analysis of a Cold Standby System with Imperfect Repair and under Poisson Shocks. Mathematical Problems in Engineering No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-477178
American Medical Association (AMA)
Chen, Yutian& Meng, Xianyun& Chen, Shengqiang. Reliability Analysis of a Cold Standby System with Imperfect Repair and under Poisson Shocks. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-477178
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477178