Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/235052

Download PDF (Accepted manuscript) (Adobe Acrobat PDF, -1 bytes)

Title

Statistical analysis of single-server loss queueing systems

Author(s)

Abramov, Vyacheslav M.

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.

Publication type

Journal article

Source

Methodology and Computing in Applied Probability, Vol. 13, no. 4 (Dec 2011), pp. 763-781

Publication year

2011

FOR Code(s)

0102 Applied Mathematics;  0103 Numerical and Computational Mathematics;  0104 Statistics

Keyword(s)

Empirical distribution function;  Kolmogorov's distribution;  Kolmogorov's statistics;  Order statistics;  Single-server loss queueing systems;  Statistics of queues

Publisher

Springer

ISSN

1387-5841

Publisher URL

http://dx.doi.org/10.1007/s11009-010-9187-6

Copyright

Copyright © 2010 Springer Science+Business Media, LLC. The accepted manuscript is reproduced in accordance with the copyright policy of the publisher. The definitive version is available at www.springer.com.

Additional information

Supported by the Australian Research Council.

Full text

Peer reviewed