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Statistical Analysis of Single-server Loss Queueing Systems

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  • Vyacheslav M. Abramov

    (Monash University)

Abstract

In this article statistical bounds for certain output characteristics of the M/GI/1/n and GI/M/1/n loss queueing systems are derived on the basis of large samples of an input characteristic of these systems, such as service time in the M/GI/1/n queueing system or interarrival time in the GI/M/1/n queueing system. The analysis in this article is based on application of Kolmogorov’s statistics for empirical probability distribution functions.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:metcap:v:13:y:2011:i:4:d:10.1007_s11009-010-9187-6
    DOI: 10.1007/s11009-010-9187-6
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Fátima Ferreira & António Pacheco & Helena Ribeiro, 2017. "Moments of losses during busy-periods of regular and nonpreemptive oscillating $$M^X/G/1/n$$ M X / G / 1 / n systems," Annals of Operations Research, Springer, vol. 252(1), pages 191-211, May.

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