Stability Analysis of a Repairable System with Warning Device and Repairman Vacation
Joint Authors
Guo, Lina
Zhang, Lingling
Ren, Yangli
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-30
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
This paper considers a simple repairable system with a warning device and a repairman who can have delayed-multiple vacations.
By Markov renewal process theory and the probability analysis method, the system is first transformed into a group of integrodifferential equations.
Then, the existence and uniqueness as well as regularity of the system dynamic solution are discussed with the functional analysis method.
Further, the asymptotic stability, especially the exponential stability of the system dynamic solution, is studied by using the strongly continuous semigroup theory or C0 semigroup theory.
The reliability indices and some applications (such as the comparisons of indices and profit of systems with and without warning device), as well as numerical examples, are presented at the end of the paper.
American Psychological Association (APA)
Ren, Yangli& Guo, Lina& Zhang, Lingling. 2013. Stability Analysis of a Repairable System with Warning Device and Repairman Vacation. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-489476
Modern Language Association (MLA)
Ren, Yangli…[et al.]. Stability Analysis of a Repairable System with Warning Device and Repairman Vacation. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-19.
https://search.emarefa.net/detail/BIM-489476
American Medical Association (AMA)
Ren, Yangli& Guo, Lina& Zhang, Lingling. Stability Analysis of a Repairable System with Warning Device and Repairman Vacation. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-489476
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489476