Exact Convergence Rate for the Distributions of GI/M/c/K Queue as K Tends to Infinity

被引:0
|
作者
Bong Dae Choi
Bara Kim
Jeongsim Kim
In-Suk Wee
机构
[1] Korea University,Department of Mathematics
来源
Queueing Systems | 2003年 / 44卷
关键词
/; /; /; queue; /; /; queue; stationary distribution;
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摘要
We obtain the exact convergence rate of the stationary distribution π(K) of the embedded Markov chain in GI/M/c/K queue to the stationary distribution π of the embedded Markov chain in GI/M/c queue as K→∞. Similar result for the time-stationary distributions of queue size is also included. These generalize Choi and Kim's results of the case c=1 by nontrivial ways. Our results also strengthen the Simonot's results [5].
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页码:125 / 136
页数:11
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