一种新型的N部件串联可修系统及其可靠性分析  

A New Kind of N-Unit Series Repairable Systems and its Reliability Analysis

作　　者：刘仁彬[1] 唐应辉[2] 骆川义[3] 

机构地区：[1]重庆工学院数理学院,重庆400050 [2]四川师范大学数学与软件科学学院,四川成都610066 [3]西南财经大学经济数学系,四川成都610074

出　　处：《应用数学》2007年第1期164-170,共7页Mathematica Applicata

基　　金：四川省学术与技术带头人基金([2001]16);四川师范大学引进人才基金资助

摘　　要：本文研究一种N部件串联可修系统的一个新模型,该模型在经典n部件串联可修系统中引入了修理工可多重延误休假的概念,并且考虑了修理工使用修理设备在修理失效部件过程中可能因修理设备失效而立即更换修理设备对整个系统可靠性造成的影响.假定修理工的延误休假时间、部件的寿命和修理设备的寿命均服从指数分布,部件的修理时间、修理设备的更换时间和修理工的休假时间均服从一般连续型分布,通过使用补充变量法和广义马尔可夫过程方法得到了系统和修理设备的一些重要可靠性指标.We deal with a new model of N- unit series repairable system, in which a conception of a repairman possible single delay vacation to n-unit series repairable system is introduced and the impact on the system reliability because of a replaceable facility is also considered. It is assumed that the life of each unit, the life of the facility and the delay vacation time of the repairman are exponentially distributed,the repair time of the unit,the replace time of the facility and the vacation time of the repairman are all generally distributed. By using approach of supplementary variables and method of generalized Markov progress,some important reliability indices of the system and the facility are obtained.

关 键 词：延误休假 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]