文章基本信息

标题：On the Discrete-Time Queue with Vacations in Random Environment
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作者：Jianjun Li ; Liwei Liu
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2016
卷号：2016
DOI：10.1155/2016/4029415
出版社：Hindawi Publishing Corporation
摘要：A discrete-time queue with vacations in random environment is analyzed. Using the method of supplementary variable, we give the probability generating function (PGF) of the stationary queue length distribution at arbitrary epoch. The PGF of the stationary sojourn time distribution is also derived. And we present the various performance measures such as mean number of customers in the system, mean length of the type- cycle, and mean time that the system resides in phase . In addition, we show that the queue with vacations in random environment can be approximated by its discrete-time counterpart. Finally, we present some special cases of the model and numerical examples.