延误休假且修理延迟的可修系统的更换策略  

Replacement Policy of Repairable System with Multiple Delay Vacations and Delay Repair

作　　者：贾鹏茹[1] 孟宪云[1] 张晓爽[1] 李彦彦[1] 朱振华[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《经济数学》2011年第1期28-31,共4页Journal of Quantitative Economics

基　　金：全国统计科学研究计划项目(2010LC33);河北省教育厅计划项目(2007323)

摘　　要：研究了修理工多重延误休假且修理延迟的可修系统,假设系统故障后均不能"修复如新",系统在准备休假期间故障的概率为q,系统延迟修理的概率为1-p,以系统故障次数为更换策略,运用更新过程和几何过程理论,得出系统长期运行单位时间内平均停机时间的表达式,并通过数值例子验证了存在最优策略,使得平均停机时间最短.This paper studied a repairable system with multiple delay vacations and delay repair. The repair after system failure is not as good as new,and a repair can be delayed with a probability of 1-p. The system fails at vacation times with a prob-ability of 1-q. The replacement policy was considered based on the failure number for the system by using renewl process theory and geometric procee theory,and the explicit expressions of the downtime was derived. Finally, the result through nu- merical example was also analyzed.

关 键 词：延误休假 修理延迟 几何过程 平均停机时间 可修系统 

分 类 号：O224[理学—运筹学与控制论]