修理工可多重休假的温贮备系统

Warm standby redundant repairable system with multiple vacations of a repairman

研究了修理工可进行多重休假的温贮备系统.系统发生故障时,可能因修理工的休假而得不到立即修理.因此系统可处于工作、等待修理和修理3种状态.在假定部件的工作时间、贮备时间、修理时间和修理工休假时间分布的前提下,利用补充变量法和拉普拉斯变换方法,建立了各状态概率的微积分方程,得到了系统的一些可靠度指标;此外还通过图像分析考察了系统参数对系统稳态可用度的影响.

This paper studies the warm standby redundant repairable systems with multiple vacations of a repairman.If the system fails to be repaired immediately while the repairman is on vacation,a waiting repair time is needed,so the system may be in one of the three states: the working state,the waiting repair state and the being repaired.It is assumed that the operating time and standbying time of units have exponential distribution,while the repair time and the vacation time have general continuous distributions.By using the supplementary variables approach and generalized Markov process method,some important reliability indices are obtained.In addition,we also obtain the parameters' effect on the steady-state availability by image analyze.