α-幂过程可修系统的二元最优更换策略  

Two variable optimal replacement policy ofα-power process repairable system

作　　者：谭丽姣[1] 孟宪云[1] 张欣欣[1] 刘文娟[1] 陈胜强[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《辽宁工程技术大学学报（自然科学版）》2014年第1期120-123,共4页Journal of Liaoning Technical University (Natural Science)

基　　金：全国统计科研计划基金资助项目(2010LC33);河北省教育厅基金资助项目(2007323)

摘　　要：针对修理工带有多重休假的单部件可修系统,研究了α-幂过程维修模型.在假定故障部件不能"修复如新"的条件下,以系统中部件的故障次数N和工作寿命T组成的(N,T)为二元最优更换策略,应用更新过程理论和α-幂过程理论,得出了系统经长期运行单位时间内期望效益的明显表达式.通过数值例子对所得结果进行分析,验证了存在唯一的*N使得期望效益取得最大值.In order to study one unit repairable system with multiple vacations, this paper proposed a type of α-power process maintenance model. Assuming that any of the component after repair is not ＂as good as new＂, this study considered the two variable optimal replacement policy（N,T）based on the failure number（N）and the working age （T） for the system by using renew process theory and α- power process theory. The explicit expression of the long-turn expected profit per unit time is derived and verified. The results through numerical examples were analyzed.

关 键 词：可修系统 多重休假 更换策略 α-幂过程 期望效益 故障次数 更新过程 退化系统 

分 类 号：O224[理学—运筹学与控制论]