具有休假的退化可修系统维修策略研究

Study on maintenance strategy of deteriorating system with vacation

研究带有单重休假的两相同部件冷储备系统的维修策略,假设系统中两部件故障后都不能修复如新,另外由于修理工具有单重休假,故部件故障之后不一定能立即得到修理,即部件故障后,若修理工正在休假则修理延迟,若修理工休假完成且在系统中,则故障部件立即得到修理.在如上假设下,主要研究基于系统中部件1故障次数的N策略替换,进而给出系统平均费用C(N)的精确表达式,通过数值分析得到使得C(N^(*))最小的最优替换策略N^(*),即当系统部件1的故障次数达到N^(*)时部件1和部件2将同时被替换.

This paper studied a cold standby repairable system with two similar components and a repairman who can take a single vacation. Suppose that the two components of the system cannot be repaired “as good as new”. Herein the repairman has a single vacation, the two components of the system can not be repaired immediately after failures, that is to say, if a component fails and the repairman is on vacation, the repair of the component will be delayed, if a component fails and the repairman is back from vacation and in the system, the faulty component can be repaired immediately. Under these assumptions, a replacement policy N based on the failed times of the component 1 is studied. The explicit expression of the system average cost rate C(N) and the optimal replacement policy N^(*) by minimizing the are C(N) obtained. That is, the two components of the system will be replaced at the same time if the failures of component 1 reaches N^(*).