具有指数休假的M/M/1队列驱动的流体模型

2010 Second International Conference on Information Technology and Computer Science Pub Date : 2010-07-24 DOI:10.1109/ITCS.2010.138

Bing-wei Mao, Fu-Wei Wang, N. Tian

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引用次数: 10

摘要

研究了具有单指数休假的M/M/1队列驱动的流体模型。缓冲液含量的稳态分布的拉普拉斯变换通过一个关键的二次方程的极小正解来表示。然后得到了与休假参数无关的性能度量——平均缓冲量。最后，通过数值算例，给出了参数对平均缓冲量的影响。

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Fluid Model Driven by an M/M/1 Queue with Exponential Vacation

This paper studies a fluid model driven by an M/M/1 queue with single exponential vacation. The Laplace transform of the steady-state distribution of the buffer content is expressed through the minimal positive solution to a crucial quadratic equation. Then the performance measure—mean buffer content which is independent of the vacation parameter, is obtained. Finally, using some numerical examples, we present the parameter effect on the mean buffer content.

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2010 Second International Conference on Information Technology and Computer Science

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