修理工可单重休假的预防维修更换策略

本文研究了一个修理工带有单重休假的单部件可修系统.为了延长系统的使用寿命,在系统故障前考虑了预防维修,且假定预防维修能够“修复如新”,而故障维修为“修复非新”时,以系统的故障次数N为更换策略.通过更新过程和几何过程理论,得出系统经长期运行单位时间内期望费用的明显表达式,并对预防维修的定长间隔时间T及更换策略N进行了讨论,最后,通过实例分析,求出最优策略N’,使得目标函数取得最优值.

A Preventive Repair Replacement Policy with Repairman Single Vacations

A repairable system consisting of one component with a single vacations and one repairman was studied.In order to prolong the working time of the system,a preventive repair before the system failure was considered,and assume that it can be "as good as new",while a repair after the system failure is not "as good as new".Under this assumption,the replacement policy N based on the number of system was considered by using renew process theory and geometric process theory,the explicit expressions of the long-run expected cost per unit time was derived,and some problems for the length of fixed time T of the preventive repair and the replacement policy N of the system were discussed.Finally,the optimal strategy N* was obtained by the numerical example,which can make the objective function obtain the optimal value.