Asymptotic analysis of the GI/M/1/n loss system as n increases to infinity

This paper provides the asymptotic analysis of the loss probability in the $GI\mathrm{/}M\mathrm{/}1\mathrm{/}n$ queueing system as $n$ increases to infinity. The approach of this paper is alternative to that of the recent papers of Choi and Kim [2000] and Choi et al [2000] and based on application of modern Tauberian theorems with remainder. This enables us to simplify the proofs of the results on asymptotic behavior of the loss probability of the abovementioned paper of Choi and Kim [2000] as well as to obtain some new results.