具有兼职的维修工随机退化模型  

Stochastic Deteriorating Model for a Repairman with Multiple Jobs

作　　者：张权[1,2] 崔利荣[3] 韩旸[1] 

机构地区：[1]齐齐哈尔大学理学院,黑龙江齐齐哈尔161006 [2]北京理工大学数学与统计学院,北京100081 [3]北京理工大学管理与经济学院,北京100081

出　　处：《北京理工大学学报》2016年第2期197-200,共4页Transactions of Beijing Institute of Technology

基　　金：十二五国家科技支撑计划资助项目(2013BAK12B0803);黑龙江省教育厅资助项目(12541900)

摘　　要：研究具有一个维修工的可修系统,且这个维修工有多个兼职工作.如果系统失效并且维修工在做兼职工作,则该系统将等待维修直到这个维修工可用,当这个维修工可用时,本系统具有优先权.维修后,本系统不能修复如新.在这些假设下,建立模型,利用几何过程和补充变量法,推导了一些重要的可靠性指标,包括可靠度、可用度、失效发生率等.最后,通过数值算例验证得到的结果.In this paper,a repairable system with a repairman who has multiple jobs was studied.If the system fails and the repairman is working,it will wait for repairing until the repairman is available.When the repairman is available,the system has priority.After repairing,the system is not＂as good as new＂.Under these assumptions,using the supplementary variable method and the geometric process,some important indexes were derived,such as the system reliability,availability,rate of occurrence of failures,etc.Finally,a numerical example was given to illustrate our results.

关 键 词：几何过程 补充变量法 可靠度 可用度 失效发生率 

分 类 号：O213[理学—概率论与数理统计] O211.62[理学—数学]