Exact Convergence Rate for the Distributions of GI/M/c/K Queue as K Tends to Infinity |
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| Authors: | Choi Bong Dae Kim Bara Kim Jeongsim Wee In-Suk |
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| Affiliation: | (1) Department of Mathematics, Korea University, 1, Anam-dong, Sungbuk-ku, Seoul, 136-701, Korea |
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| Abstract: | We obtain the exact convergence rate of the stationary distribution  (K) of the embedded Markov chain in GI/M/c/K queue to the stationary distribution 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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| Keywords: | GI/M/c/K queue GI/M/c queue stationary distribution |
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