摘要
研究了修理设备可更换的k/n(G)表决可修系统,其中修理设备在修理故障部件时可能发生失效.假定部件和修理设备的寿命服从负指数分布,故障部件的修理时间和修理设备的更换时间服从一般分布的条件下,利用马尔可夫更新过程理论和拉普拉斯变换(Laplace-Stieltjes变换),分别讨论了系统首次故障前的平均时间,可用度,故障频度及修理设备的不可用度和失效频度,获得了相关指标的递推表达式.在此基础上,给出了1/2(G)表决可修系统和(n-1)/n(G)表决可修系统相关可靠性指标的表达式.
This paper considers a k/n（G） repairable system with replaceable repair facility where the repair facility may fail during the repair period. Assume that the lifetime of each component and the work time of the repair facility are exponentially distributed random variables, while the repair time of broken component and the re- placement time of the repair facility follow general distributions. By using the Markov renewal process theory and the Laplace （Laplace-Stieltjes） transform, the mean time to first failure, the availability and the rate of occurrence of failures of the system, the probability that the repair facility is being replaced and the rate of occurrence of failures of the repair facility are discussed. Further more, the recursive expressions of these reliability measures are obtained. Finally, two special cases 1/2（G） repairable system and （n- 1）/n（G） repairable system are derived.
出处
《数学学报（中文版）》
CSCD
北大核心
2016年第6期799-820,共22页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(71571127)
国家自然科学基金青年项目(71301111)
西南科技大学博士研究基金资助项目(15zx7141)
