具有多重延误休假的Gnedenko系统  

The Gnedenko system attended by a repairman with multiple delay vacations

作　　者：郭伟立[1] 吴清太[1] 

机构地区：[1]南京农业大学理学院,江苏南京210095

出　　处：《山东建筑大学学报》2009年第4期342-345,共4页Journal of Shandong Jianzhu University

摘　　要：研究了修理工可进行多重延误休假的Gnedenko系统,假定部件的寿命和修理工的延误休假时间服从指数分布,部件的修理时间和修理工的休假时间服从一般连续型分布,通过使用补充变量法和广义马尔可夫过程方法,得到了系统的可靠度的Laplace变换、首次故障前平均时间、稳态可用度和稳态故障频度等重要可靠性指标。This paper deals with the Gnedenko system with multiple delay vacations. It is assumed that the life of the unit and the delay vacation time of the repairman are exponential distributions and the repair time of the unit and the vacation time of the repairman are general continuous distributions. By using the supplementary variables approach and generalized Markov process method, the Laplace transforms of the reliability and the mean time to first failure are attained. Meanwhile, the availability and the failure frequency of the system are obtained as well.

关 键 词：休假 多重延误休假 可靠度 广义马尔可夫过程 

分 类 号：O213.2[理学—概率论与数理统计]