修理工可单重休假的预防维修更换策略  

A Preventive Repair Replacement Policy with Repairman Single Vacations

作　　者：李海霞[1] 孟宪云[1] 陈雁东 刘海涛[1] 蒋燕美[1] 赵丹[1] 陈变娟[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004 [2]山西省广灵县第一中学校,山西大同037500

出　　处：《经济数学》2012年第2期40-44,共5页Journal of Quantitative Economics

基　　金：全国统计科研计划项目(2010LC33);河北省教育厅计划项目(2007323)

摘　　要：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 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 he ＂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.

关 键 词：可修系统 单重休假 预防维修 故障次数 几何过程 

分 类 号：O224[理学—运筹学与控制论]