Cloud storage faces many problems in the storage process which badly affect the system's efficiency. One of the most problems is insufficient buffer space in cloud storage. This means that the packets of data wait to have storage service which may lead to weakness in performance evaluation of the system. The storage process is considered a stochastic process in which we can determine the probability distribution of the buffer occupancy and the buffer content and predict the performance behavior of the system at any time. This paper modulates a cloud storage facility as a fluid queue controlled by Markovian queue. This queue has infinite buffer capacity which determined by the M/M/1/N queue with constant arrival and service rates. We obtain the analytical solution of the distribution of the buffer occupancy. Moreover, several performance measures and numerical results are given which illustrate the effectiveness of the proposed model.

中文翻译：

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作为由马尔科夫队列控制的流体队列的云存储设施

云存储在存储过程中面临着很多问题，严重影响了系统的效率。最大的问题之一是云存储中的缓冲空间不足。这意味着数据包等待存储服务，这可能导致系统性能评估的弱点。存储过程被认为是一个随机过程，在这个过程中，我们可以随时确定缓冲区占用和缓冲区内容的概率分布，并预测系统的性能行为。本文将云存储设施调制为由马尔可夫队列控制的流体队列。该队列具有无限的缓冲区容量，由米/米/1/ñ以恒定的到达率和服务率排队。我们得到了缓冲区占用分布的解析解。此外，给出了几个性能指标和数值结果，说明了所提出模型的有效性。