Analysis of a Repairable k-out-of-n:G System with Expert Repairman's Multiple Vacations and Shut off Rule
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 20, Issue 3
Abstract
This paper investigates an k-out-of-n:G repairable system with expert repairman’s multiple vacations and continuous operation rule where the operating times and the repair times of components follow exponential distributions. When there is no failed component in the system, the expert repairman leaves for a vacation, the duration of which is governed by a phase type distribution. Once an operating component fails during his/her vacation period, it is repaired by an ordinary repairman. The ordinary repairman becomes inactivated when there is no failed component or the expert repairman returns from the vacation. Employing the matrix analytical method, we obtain the transient system availability, the rate of occurrence of failures at time t, the system reliability, the stationary availability, the stationary rate of occurrence of failures, and the mean time to failure of the system. Further, we discuss the time-dependent behaviour of the system reliability measures under different initial system states. Finally, special cases of the system are given to show the correctness of our results.
Authors and Affiliations
Yuanyuan Zhang, Wenqing Wu, Yinghui Tang
Keywords
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- EP ID EP322207
- DOI 10.9734/BJMCS/2017/30869
- Views 83
- Downloads 0
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