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A two phases queueing system with Bernoulli vacation schedule under multiple vacation policy

机译:多重休假政策下具有伯努利休假时间表的两阶段排队系统

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This paper deals with a single server Poisson arrival queue with two phases of heterogeneous service along with a Bernoulli schedule vacation model, where after two successive phases service the server either goes for a vacation with probability p (0 ≤ p ≤ 1) or may continue to serve the next unit, if any, with probability q(= 1 — p). Further the concept of multiple vacation policy is also introduced here. We obtained the queue size distributions at a departure epoch and at a random epoch, Laplace Stieltjes Transform of the waiting time distribution and busy period distribution along with some mean performance measures. Finally we discuss some statistical inference related issues.
机译:本文处理具有两个阶段的异构服务的单一服务器Poisson到达队列以及一个Bernoulli计划休假模型,其中在两个连续阶段的服务之后,服务器要么以概率p(0≤p≤1)休假,要么可以继续以概率q(= 1 — p)服务下一个单位(如果有)。此外,这里还介绍了多重假期政策的概念。我们获得了出发时间和随机时间的队列大小分布,等待时间分布和繁忙时段分布的Laplace Stieltjes变换以及一些平均性能指标。最后,我们讨论一些与统计推断有关的问题。

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