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Heavy traffic asymptotics of the queue length in the GI/M/l – K queue
Published online by Cambridge University Press: 26 September 2008
Abstract
We consider the GI/M/1 – K queue which has a capacity of K customers. Using singular perturbation methods, we construct asymptotic approximations to the stationary queue length distribution. We assume that K is large and treat several different parameter regimes. Extensive numerical comparisons are used to show the quality of the proposed approximations.
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- Copyright © Cambridge University Press 1996
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