修理设备可更换且修理工多重延误休假的单部件可修系统  

One-unit Repairable System with a Replaceable Facility and Multiple Delay Vacations of a Repairman

作　　者：刘仁彬[1] 唐应辉[2] 苏翃[1] 

机构地区：[1]重庆工学院数理学院,重庆400050 [2]四川师范大学基础教学学院,数学与软件科学学院,成都610066

出　　处：《运筹学学报》2009年第2期83-94,共12页Operations Research Transactions

基　　金：国家自然科学基金(No.70871084);教育部高校博士点专项基金(No.200806360001)资助

摘　　要：假定部件的寿命、修理时间和修理工的休假时间均服从一般连续型分布,修理工的延误休假时间服从指数分布,并且修理设备的寿命服从爱尔朗分布,其更换时间服从一般连续型分布的情况下,研究了修理设备可更换且修理工可多重延误休假的单部件可修系统.通过使用补充变量法、广义马尔可夫过程方法和拉普拉斯变换工具,讨论了系统的瞬时可用度、稳态可用度以及(O,t]时间内系统的平均故障次数和稳态故障频度,得到了系统和修理设备主要可靠性指标的拉普拉斯变换表达式.In this paper, a one-unit repairable system with a replaceable facility and multiple delay vacations of a Repairman is studied under assuming that the systematic unit＇s life, the repair time and the vacation time of the repairman all have continuous distributions, the delayed vacation time of the repairman has exponential distribution, as well as the repair facility＇s life has Erlangian distribution and its repair time has contin- uous distribution. By using approach of supplementary variables, method of generalized Markov progress and the tool of the Laplace transform, some reliability quantities of the system, such as the system＇s availability, the stead-state availability, the expected fail- ure number during （0, t] and the stead-state failure frequency are obtained. The Laplace transforms of some primary reliability indexes of the system and the repair facility are also obtained.

关 键 词：运筹学 多重延误休假 补充变量法 广义马尔可夫过程 

分 类 号：O213.2[理学—概率论与数理统计] O226[理学—数学]