Statistical Analysis of Single-server Loss Queueing Systems

Vyacheslav M. Abramov ()
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Vyacheslav M. Abramov: Monash University

Methodology and Computing in Applied Probability, 2011, vol. 13, issue 4, 763-781

Abstract: 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.

Keywords: Statistics of queues; Empirical distribution function; Order statistics; Single-server loss queueing systems; Kolmogorov’s distribution; Kolmogorov’s statistics; 62G30; 60K25 (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s11009-010-9187-6

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