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Asymptotic Analysis of Loss Probabilities in<i>GI/M/m/n</i>Queueing Systems as<i>n</i>Increases to Infinity
The paper studies asymptotic behavior of the loss probability for the $GI/M/m/n$ queueing system as $n$ increases to infinity. The approach of the paper is based on applications of classic results of Tak\'acs (1967) and the Tauberian theorem with remainder of Postnikov (1979-1980) associated with the recurrence relation of convolution …