A Time-varying repairable system with repairman vacation and warning device
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Authors
Lina Guo
- Department of Mathematics, Taiyuan University of Technology, Taiyuan 030024, P. R. China.
Maomao Zhang
- Department of Mathematics, Taiyuan University of Technology, Taiyuan 030024, P. R. China.
Abstract
In this paper, a new kind of repairable system with repairman vacation and warning device is discussed,
in which the delayed vacation rate and failure rates are functions related to system working time. The
system model is established by using probability analysis method, which then is translated into a initial
value problem of a class of abstract semi-linear evolution equation in a suitable Banach space for further
study. The conditions of the existence and uniqueness of the system solution as well as system stability is
analyzed by using \(C_0\)-semigroup theory. Some steady-state reliability indexes are studied by using Laplace
transformation. In the end, numerical examples are presented to compare some indexes of the systems with
and without warning device.
Share and Cite
ISRP Style
Lina Guo, Maomao Zhang, A Time-varying repairable system with repairman vacation and warning device, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 1, 316--331
AMA Style
Guo Lina, Zhang Maomao, A Time-varying repairable system with repairman vacation and warning device. J. Nonlinear Sci. Appl. (2016); 9(1):316--331
Chicago/Turabian Style
Guo, Lina, Zhang, Maomao. "A Time-varying repairable system with repairman vacation and warning device." Journal of Nonlinear Sciences and Applications, 9, no. 1 (2016): 316--331
Keywords
- Repairable system
- delayed-multiple vacations
- semi-linear evolution system
- \(C_0\)-semigroup theory
- well-posedness
- stability
- sensitivity analysis.
MSC
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