修理工带休假的相邻(n-1)(G)系统的可靠性分析——单重休假

摘要

A consecutive n-1 out of n repairable system with simple vacation of a repairman is considered. It is assumed that all the components are the same and the lifetime of each component is exponentially distributed, while the repair time of the components and vacation time of repairman are both generally distributed, and each component is as good as new after repair. Then using the supplementary variable technique and Laplace transform method, we obtain the Laplace transform formulas of the availability and the mean failure number. In addition, we make initial investigation of the effect of parameters on reliability indexes by the numerical analysis.%研究了修理工带有单重休假的线形相邻(n-1)(G)可修系统.首先,假定部件寿命为同型部件,服从指数分布；部件修理时间和修理工休假时间均服从一般分布且部件能够修复如新.然后,利用补充变量方法和拉普拉斯变换工具,得到了此系统的可用度及(0,t]时间内的平均故障次数的拉普拉斯变换表达式.最后,通过数值分析,探讨了系统参数对可靠性指标的影响.