This paper studies a repairable k/n(G) system with expert repairman’s multiple vacations and replaceable repair facility. The expert repairman leaves for a vacation when there is no broken component. Once an operating component breaks down during his vacation period, it is repaired immediately by an ordinary repairman. The ordinary repairman becomes inactivated when there is no broken component or the expert returns from his vacation. By using the Markov process theory and the matrix solution method, we obtain the transient and the stationary of the system availability and the rate of occurrence of failures, the system reliability, the mean time to system failure, and the probability that the repair facility is being replaced. Further, we discuss the time-dependent behavior of these reliability measures under different initial states. Finally, special cases of the system are presented to show the correctness of our results.
ZHANG Yuanyuan, WU Wenqing
. Analysis of a k/n(G) system with expert repairman's multiple vacations and replaceable repair facility[J]. Operations Research Transactions, 2019
, 23(4)
: 111
-123
.
DOI: 10.15960/j.cnki.issn.1007-6093.2019.04.010
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