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

10.6186/IJIMS.2010.21.1.3

Bing-Wei Mao；Fu-wei Wang；Nai-Shuo Tian

Fluid Queue ； M/M/1/N Queue ； Exponential Vacation ； Tridiagonal Block Matrix ； Buffer Content ； Spectral Method

International Journal of Information and Management Sciences

21：1（2010 / 03 / 01）

29 - 40

英文

This paper studies a fluid model driven by an M/M/1/N queue with single exponential vacation. With the standard spectral method, the exact expression of the steady-state distribution of the buffer content is acquired. Then the performance measure-mean buffer content is obtained. Finally, using the numerical example, we present the parameter effect on the stationary distribution of the buffer content.

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