单重休假且修理时间服从PH分布的可修系统

A repairable system with phase type repairs and repairman vacation

针对修理工可单重休假的两不同型部件并行可修系统,在指数型寿命、指数型休假时间的条件下,假定部件故障后的修理时间服从PH(phase type)分布,而且能够完全修复,通过引进变量法和广义的马尔可夫过程,得到系统的瞬时概率分布、稳态概率分布及首次故障前的平均时间.

In this paper, a two-different component of collateral system with repairman vacation is studied. In the system, the life distribution and vacation time are assumed to be exponential distri- butions, and the repair time of the component is assumed to be PH distributions. The component is assumed that it is ＂as good as new＂ after repair. By using the supplementary variable and the gener- alized Markov progress, some reliability indexes of the system, such as the instantaneous probabili- ty distribution, steady-state probability distribution and the average time to first failure are obtained.