A Fluid Limit for the Engset Model - An Application to Retrial Queues

Stylianos Georgiadis, Pascal Moyal, János Sztrik, Tamás Bérczes

Abstract

We represent the classical Engset-loss model by the stochastic process counting the number of customers in the system. A fluid limit for this process is established for all the possible values of the various parameters of the system, as the number of servers tends to infinity along with the number of sources. Our results are derived through a semi-martingale decomposition method. A numerical application is provided to illustrate these results. Then, we represent a finite-source retrial queue considering in addition the number of sources in orbit. Finally, we extend the fluid limit results to a retrial queueing system, discussing different cases.

References

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Paper Citation


in Harvard Style

Georgiadis S., Moyal P., Bérczes T. and Sztrik J. (2013). A Fluid Limit for the Engset Model - An Application to Retrial Queues . In Proceedings of the 2nd International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES, ISBN 978-989-8565-40-2, pages 117-122. DOI: 10.5220/0004203101170122


in Bibtex Style

@conference{icores13,
author={Stylianos Georgiadis and Pascal Moyal and Tamás Bérczes and János Sztrik},
title={A Fluid Limit for the Engset Model - An Application to Retrial Queues},
booktitle={Proceedings of the 2nd International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},
year={2013},
pages={117-122},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004203101170122},
isbn={978-989-8565-40-2},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 2nd International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,
TI - A Fluid Limit for the Engset Model - An Application to Retrial Queues
SN - 978-989-8565-40-2
AU - Georgiadis S.
AU - Moyal P.
AU - Bérczes T.
AU - Sztrik J.
PY - 2013
SP - 117
EP - 122
DO - 10.5220/0004203101170122