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Title

Stochastic inequalities for single-server loss queueing systems

Author(s)

Abramov, Vyacheslav M.

Abstract

The present article provides some new stochastic inequalities for the characteristics of the M/GI/1/n and GI/M/1/n loss queueing systems. These stochastic inequalities are based on substantially deepen up- and down-crossings analysis, and they are stronger than the known stochastic inequalities obtained earlier. Specifically, for a class of GI/M/1/n queueing system, two-side stochastic inequalities are obtained.

Publication type

Journal article

Source

Stochastic Analysis and Applications, Vol. 24, no. 6 (2006), pp. 1205-1221

Publication year

2006

FOR Code(s)

0102 Applied Mathematics;  0104 Statistics;  1502 Banking, Finance and Investment

Keyword(s)

Loss probability;  Probability distribution classes;  Single-server queueing systems;  Stochastic inequalities

Publisher

Taylor & Francis

ISSN

0736-2994

Publisher URL

http://dx.doi.org/10.1080/07362990600958994

Copyright

Copyright © Taylor & Francis Group, LLC. The accepted manuscript is reproduced in accordance with the copyright policy of the publisher.

Full text

Peer reviewed