修理工多重休假且一部件可修复如新的两不同型部件并联系统可靠性分析  

Reliability analysis of parallel system consisting of two different units with one unit repaired "as good as new" and one repairman with multiple vacations

作　　者：朱振华[1] 周岩[1] 李彦彦[1] 贾鹏茹[1] 张晓爽[1] 孟宪云[1] 

机构地区：[1]燕山大学理学院,秦皇岛066004

出　　处：《黑龙江大学自然科学学报》2011年第2期184-188,193,共6页Journal of Natural Science of Heilongjiang University

基　　金：河北省自然科学基金资助项目(A2005000301);河北省教育厅科学计划项目(2007323)

摘　　要：研究两个不同型部件和一个修理工组成的并联可修系统,在部件工作时间和修理时间均服从指数分布,部件1可修复如新且具有优先修理权及修理工可多重休假的假定下,利用补充变量法及广义马尔可夫过程理论对系统进行了可靠性分析,得到系统的可用度、可靠度及首次故障前平均时间等可靠性指标。The parallel system consisting of two different units and one repairman is studied.It is assumed that the working time and repair time of the two units are both exponentially distributed and the vacation time of the repairman have general distributions,one units can be repaired ＂as good as new＂ and the repairman have multiple vacations.By using the approach of supplementary variables and method of generalized Markov process,the Laplace transform expressions of availability and reliability is obtained,and the MTTFF is also obtained at the same time.

关 键 词：并联系统 补充变量法 广义马尔可夫过程 可用度 

分 类 号：O213.2[理学—概率论与数理统计]