预防性维修下主部件具有优先权的冷贮备系统的最优更换策略  

Repair-Replacement Policy Optimization of Cold Standby System with Priority and Preventive Repair for Main Component

作　　者：吴清太[1] 周春俊[1] 陈朝霞[1] 

机构地区：[1]南京农业大学理学院,南京210095

出　　处：《南京航空航天大学学报》2015年第1期96-103,共8页Journal of Nanjing University of Aeronautics & Astronautics

基　　金：国家自然科学基金(71173109)资助项目;中央高校基本科研业务费专项资金(KYZ201424)资助项目;南京农业大学理学院教师能力提升计划(201404)资助项目

摘　　要：针对一类具有预防维修的冷贮备可修系统,研究了一个基于主部件的预防维修时间间隔T和失效次数N的二元维修策略问题。假设主要部件同时具有优先使用权和优先修理权,主部件每隔一段时间T进行一次预防性修理,预防修理是修复如新的,而主部件经过失效修理后一序列的相继工作时间和失效后的相继修理时间分别构成两个扩展的泊松过程。从属部件能修复如新,附属部件的工作时间和修理时间均服从指数分布。利用更新报酬理论,得出了该模型在系统长期运行下单位时间内平均损失的具体表达式,并对该模型进行了数值模拟。A cold standby repairable system with preventive repair is stuided. The system consists of two dissimilar components. Component 1 is the main component with use and repair priorities, while com- ponent 2 is the supplementary component. Assuming the failure repair of the main component follows an extended Poisson process, preventive repair for the main component is performed every time interval T and is ＂as good as new＂. The successive working time and the repair time of the main component after failure form two extended Poisson processes. While the repair for component 2 is also ＂as good as new＂. The working time and the repair time of component 2 are both exponentially distributed. By the renewal reward theory, the explicit expression of the expected cost rate is derived. Finally, a example is given to illustrate the theoretical results for the proposed model.

关 键 词：冷贮备系统 优先权 扩展泊松过程 更换策略 

分 类 号：O211[理学—概率论与数理统计]