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Asymptotic Analysis of the GI/M/ 1 /n Loss System as n Increases to Infinity

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  • Vyacheslav Abramov

Abstract

This paper provides the asymptotic analysis of the loss probability in the GI/M/1/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. Copyright Kluwer Academic Publishers 2002

Suggested Citation

  • Vyacheslav Abramov, 2002. "Asymptotic Analysis of the GI/M/ 1 /n Loss System as n Increases to Infinity," Annals of Operations Research, Springer, vol. 112(1), pages 35-41, April.
    • Handle: RePEc:spr:annopr:v:112:y:2002:i:1:p:35-41:10.1023/a:1020920819656
    DOI: 10.1023/A:1020920819656
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    Cited by:

    1. Vyacheslav M. Abramov, 2011. "Statistical Analysis of Single-server Loss Queueing Systems," Methodology and Computing in Applied Probability, Springer, vol. 13(4), pages 763-781, December.

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