The <mml:math id="E1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>S</mml:mi><mml:mi>M</mml:mi><mml:mtext>/</mml:mtext><mml:mi>M</mml:mi><mml:mtext>/</mml:mtext><mml:mi>N</mml:mi></mml:mrow></mml:math> queueing system with broadcasting service

Lee, Moon Ho; Dudin, Alexander N.; Klimenok, Valentina I.

doi:https://doi.org/10.1155/MPE/2006/98171

Mathematical Problems in Engineering

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Volume 2006 | Article ID 098171 | https://doi.org/10.1155/MPE/2006/98171

The SM/M/N queueing system with broadcasting service

Moon Ho Lee,¹Alexander N. Dudin,^1,2and Valentina I. Klimenok²

Received12 Nov 2005

Accepted28 Apr 2006

Published07 Jun 2006

Abstract

We consider a multiserver queueing model with the semi-Markovian arrival process and exponential service time distribution. Novel customers admission discipline is under study. The customer, which sees several free servers upon arrival, is served simultaneously by all these servers. Such situation occurs, for example, in modeling wireless communication network with broadcasting. Systems with infinite buffer and with losses are investigated. Stationary distributions of a queue, waiting and sojourn times, and the main performance measures are calculated.

References

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View at: Zentralblatt MATH | MathSciNet
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Copyright

Copyright © 2006 Moon Ho Lee et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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