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

Stylianos Georgiadis, Pascal Moyal, Tamás Bérczes, János Sztrik

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

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 a ll 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.
Original languageEnglish
Title of host publicationProceedings of the 2nd International Conference on Operations Research and Enterprise Systems (ICORES 2013)
Publication date2013
Pages315-320
Publication statusPublished - 2013
Externally publishedYes
Event2nd International Conference on Operations Research and Enterprise Systems (ICORES 2013) - Barcelona, Spain
Duration: 16 Feb 201318 Feb 2013
Conference number: 2
http://www.icores.org/?y=2013

Conference

Conference2nd International Conference on Operations Research and Enterprise Systems (ICORES 2013)
Number2
CountrySpain
CityBarcelona
Period16/02/201318/02/2013
Internet address

Keywords

  • Engset Model
  • Fluid Limit
  • Semi-martingale Decomposition
  • Retrial Queues

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