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AN N-POLICY DISCRETE-TIME GEO/G/1 QUEUE WITH MODIFIED MULTIPLE SERVER VACATIONS AND BERNOULLI FEEDBACK

机译:具有修正的多个服务器假期和BERNOULLI反馈的N政治离散时间GEO / G / 1队列

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摘要

This paper deals with a single-server discrete-time Geo/G/ 1 queueing model with Bernoulli feedback and N -policy where the server leaves for modified multiple vacations once the system becomes empty. Applying the law of probability decomposition, the renewal theory and the probability generating function technique, we explicitly derive the transient queue length distribution as well as the recursive expressions of the steady-state queue length distribution. Especially, some corresponding results under special cases are directly obtained. Furthermore, some numerical results are provided for illustrative purposes. Finally, a cost optimization problem is numerically analyzed under a given cost structure.
机译:本文研究了具有Bernoulli反馈和N策略的单服务器离散时间Geo / G / 1排队模型,其中,一旦系统变空,服务器将离开以修改多个假期。应用概率分解定律,更新理论和概率生成函数技术,我们明确推导了暂态队列长度分布以及稳态队列长度分布的递归表达式。特别是,在特殊情况下可以直接获得一些相应的结果。此外,提供一些数值结果用于说明性目的。最后,在给定的成本结构下,对成本优化问题进行了数值分析。

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