修理工可单重休假的带有一个冷贮备部件的Gaver并联系统  

Gaver’s Parallel System Sustained by a cold Standby Unit and Attended by a Repairman with a Single Vacation

作　　者：朱建玲[1] 岳德权[1] 

机构地区：[1]燕山大学理学院,秦皇岛066004

出　　处：《工程数学学报》2008年第1期109-116,共8页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(70671088);河北省自然科学基金(A2004000185)

摘　　要：本文研究了修理工可单重休假的带有一个冷贮备部件的Gaver并联可修系统。假定部件的工作时间服从指数分布,修理时间和修理工的休假时间均服从一般连续分布。利用向量Markov过程理论和Laplace变换的方法,求出了系统可靠度的Laplace变换,系统首次故障前平均时间的表达式,系统的稳态可用度和稳态故障频度等可靠性指标。此外,还建立了系统效益模型并通过数值比较分析了各参数对系统效益的影响。This paper studies Gaver＇s parallel system sustained by a cold standby unit and attended by a repairman with a vacation. It is assumed that the operating times of the units have exponen- tial distributions, the repair times and the vacation time of the repairman have general continuous distributions. By using the vector Markov process theory and Laplace transform methods, we obtain some reliability indices such as the Laplace transform of the reliability of the system, the mean time to the first failure of the system, the steady-state availability and the steady-state failure frequency. In addition, we develop a benefit model and analyze the effect of some parameters on the benefit of the system by numerical comparison.

关 键 词：休假 可靠度 稳态可用度 稳态平均故障次数 效益分析 

分 类 号：O213.2[理学—概率论与数理统计]