This paper considers the completion time and the interruption time of a job processed on an unreliable machine. By using the general theory of stochastic orderings, we obtain the closure properties of the distribution...This paper considers the completion time and the interruption time of a job processed on an unreliable machine. By using the general theory of stochastic orderings, we obtain the closure properties of the distribution of the completion time and the interruption time on L^+ and PH life distribution classes. We get an exponential bound for the tail probability of the interruption time.展开更多
基金This work is partially supported by the National Natural Science Foundation of China(Grant No. 60074018,No. 10271102)the Natural Science Foundation of Hebei Province(Grant No. A2004000185)and the Doctoral Foundation of Hebei Province(Grant No. 2002131).
文摘This paper considers the completion time and the interruption time of a job processed on an unreliable machine. By using the general theory of stochastic orderings, we obtain the closure properties of the distribution of the completion time and the interruption time on L^+ and PH life distribution classes. We get an exponential bound for the tail probability of the interruption time.
