多级适应性延误休假M^x/G(M/G)/1可修排队系统的可靠性指标

Some Reliability Indices in M^X/G(M/G)/1 Repairable Queueing System with Adaptive Multistage Delay Vacation

本文首次从系统可靠性的角度研究多级适应性延误休假M^x/G/(M/G)/1可修排队系统,讨论了服务台如下的一些可靠性问题:(1)在时刻t失效的概率;(2)在服务员忙期内失效的次数;(3)在(0,t]内的平均失效次数;(4)在服务员忙期内的失效时间.

In This paper we firstly study the MX/G（M/G）/1 repairable queueing model with adaptive multistage delay vacation from the angle of reliability and discuss the following reliability problems of the service station： （1） The probability that it fails at time t; （2） The failure number during the server busy period; （3） The expected failure number during [0, t] ; （4） The downtime during the server busy period.