An optimal replacement policy for a repairable system based on its repairman having vacations

作者：Yuan, Li; Xu, Jian^*

来源：Reliability Engineering & System Safety, 2011, 96(7): 868-875.

DOI：10.1016/j.ress.2011.02.004

• Geometric process
• Optimal replacement policy
• Priority
• Vacation
• Delayed repair

This paper studies a cold standby repairable system with two different components and one repairman who can take multiple vacations. If there is a component which fails and the repairman is on vacation, the failed component will wait for repair until the repairman is available. In the system, assume that component 1 has priority in use. After repair, component 1 follows a geometric process repair, while component 2 can be repaired as good as new after failures. Under these assumptions, a replacement policy N based on the failed times of component 1 is studied. The system will be replaced if the failure times of component 1 reach N. The explicit expression of the expected cost rate is given, so that the optimal replacement time N* is determined. Finally, a numerical example is given to illustrate the theoretical results of the model.

• 出版日期2011-7
• 单位同济大学