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 language | English |
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Title of host publication | Proceedings of the 2nd International Conference on Operations Research and Enterprise Systems (ICORES 2013) |
Publication date | 2013 |
Pages | 315-320 |
Publication status | Published - 2013 |
Externally published | Yes |
Event | 2nd International Conference on Operations Research and Enterprise Systems (ICORES 2013) - Barcelona, Spain Duration: 16 Feb 2013 → 18 Feb 2013 Conference number: 2 http://www.icores.org/?y=2013 |
Conference
Conference | 2nd International Conference on Operations Research and Enterprise Systems (ICORES 2013) |
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Number | 2 |
Country/Territory | Spain |
City | Barcelona |
Period | 16/02/2013 → 18/02/2013 |
Internet address |
Keywords
- Engset Model
- Fluid Limit
- Semi-martingale Decomposition
- Retrial Queues