摘要
考虑服务台修理有延迟的修理设备可以更换的M/G/1可修排队系统.在假定服务台寿命服从指数分布、服务台失效后的修理延迟时间和修理时间以及修理设备失效后的更换时间均服从一般分布、修理设备的寿命服从负指数分布的条件下,通过引入"广义修理时间"和"广义服务时间"的概念,研究了该系统顾客的等待时间和逗留时间分布,得到了一系列重要的推论.
This paper considers M/G/1 repairable queueing system with delay repair and repairable equipment. Suppose that the life length of service station has exponential distribution, the repair delay time, repair time and the repair time of repair equipment have general distributions, and the life of repair equipment has exponential distribution, this article studies the distributions of waiting time and sojourn time by introducing＂ the generalized service time＂ and ＂the generalized repair time＂, and some important corollaries are obtained.
出处
《许昌学院学报》
CAS
2010年第2期20-23,共4页
Journal of Xuchang University
基金
西南民族大学青年项目(09NQN003)
关键词
修理延迟
可修排队系统
广义服务时间
等待时间
更换设备
delay repair
repairable queueing system
generalized service time
waiting time
repair equipment
