延迟修理的变量预防维修的最优更换策略  

Optimal replacement policy of preventive maintenance of variable with delayed repair

作　　者：张民悦[1] 胡莎[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2016年第5期147-152,共6页Journal of Lanzhou University of Technology

基　　金：甘肃省自然科学基金(3ZS042-B25-016)

摘　　要：针对修理工带有单重休假可修系统的故障前预防维修问题,假定预防维修能"修复如新",而故障维修是"修复非新".以系统的故障次数为更换策略,预防维修的时间间隔为变量,系统每次故障有延迟修理下,给出两种最优更换策略模型.利用更新过程和几何过程理论推导出相应的极限可用度和平均成本率表达式,进一步使得极限可用度最大化和长期平均成本率最小化,得到维修系统理论上的最优更换策略.根据实际要求确定相应的比重,建立极限可用度和长期平均成本率的权衡优化模型,在各种比例的权重下求出最优更换策略.利用MATLAB进行数值模拟验证理论结果的有效性与可行性.Aimed at ante-failure preventive maintenance problem of repairman with single vacation repair- able system, and assuming that the preventive repair is able to make the repaired one as a new one, the failure maintenance will just be a ＂repair of non-new one＂. Taking the times of system failure as replace- ment policy and the time interval of preventive maintenance as design variable, two kinds of optimal re- placement policy models are given in the case of delayed repair. By using renewal process and geometric process theory, the corresponding explicit expressions of limit availability and average cost rate are derived to further make the limit availability maximized and the long-term average cost rate minimized, so that the optimal replacement policy is theoretically obtained for the maintenance system. According to the actual requirements, the appropriate proportion is determined and a trade-off optimization model of the limit a- vailability and the long-term average cost rate is established, so that the optimal replacement policy is de- termined under various proportion of weights. Finally, numerical simulation is carried out with MATLAB to verify the feasibility and effectiveness of the theoretical result.

关 键 词：几何过程 更换策略 延迟修理 预防维修 可用度 成本率 

分 类 号：O213.2[理学—概率论与数理统计]