基于休假时间和基准可靠度的冷贮备二维预防维修策略  

The Two Dimensional Preventive Maintenance Strategy for a Cold Standby System Based on Vacation and Critical Reliability

作　　者：李美娜 孟宪云[1] 李晋星 周伟超 曹晓芳 

机构地区：[1]燕山大学理学院,秦皇岛066004

出　　处：《系统科学与数学》2017年第11期2281-2292,共12页Journal of Systems Science and Mathematical Sciences

基　　金：河北省高等学校科学技术研究项目(22014123)资助课题

摘　　要：研究由两个不同型部件和一个修理工组成的冷贮备可修系统,其中部件1具有优先使用权.为了延长系统的工作时间,考虑对部件1进行非定期预防维修和故障维修相结合的维修策略,并以部件1的故障次数N和预防维修间隔T为二元维修策略(N,T),利用几何过程和更新过程等数学理论,建立以修理工单位时间内平均休假时间为目标函数、以费用率和平均停机时间为约束条件的优化模型,最后运用实例验证了模型的有效性.In this paper, a cold repairable system consisting of two different compo- nents and a repairman, in which component 1 is main component with use priority. In order to extend the working hours of the system, non-periodic preventive repair and fault repair for component 1 is performed, and the failure number N and the preventive maintenance interval T for the component 1 are used as policy. By us- ing the geometric process and renewal process theorem, we establish an optimization model which regards the vacation time as the objective function subjecting to the cost rate and the downtime. Finally, the effectiveness of optimal policy （T＊, N＊） is demonstrated by the numerical example.

关 键 词：冷贮备 预防维修策略 几何过程 费用率 平均停机时间 休假时间 

分 类 号：O213.2[理学—概率论与数理统计]