An MX/GI/1/N queue with close-down and vacation times
An MX/GI/1/N queue with close-down and vacation times
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DOI：
10.1155/s1048953399000064
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
A. Frey;Y. Takahashi
中科院分区：
文献类型：
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作者：
A. Frey;Y. Takahashi
考虑了在部分批接收策略和全批接收策略下具有关闭时间、休假时间和穷极服务纪律的MX/GI/1/N有限容量队列。应用补充变量技术，在不假设批大小分布的情况下，得到了任意时刻和出发时刻的队列长度分布。给出了第一个顾客和任意一个顾客的等待时间分布的损失概率和Laplace-Stieltjes变换。数值算例使我们对系统的行为有了一些了解。
An MX/GI/1/N finite capacity queue with close-down time, vacation time and exhaustive service discipline is considered under the partial batch acceptance strategy as well as under the whole batch acceptance strategy. Applying the supplementary variable technique the queue length distribution at an arbitrary instant and at a departure epoch is obtained under both strategies, where no assumption on the batch size distribution is made. The loss probabilities and the Laplace-Stieltjes transforms of the waiting time distribution of the first customer and of an arbitrary customer of a batch are also given. Numerical examples give some insight into the behavior of the system.