Name
Abstract | ||
|---|---|---|
This paper studies an infinite-server queue in a random environment, meaning that the arrival rate, the service requirements, and the server work rate are modulated by a general càdlàg stochastic background process. To prove a large deviations principle, the concept of attainable parameters is introduced. Scaling both the arrival rates and the background process, a large deviations principle for the number of jobs in the system is derived using attainable parameters. Finally, some known results about Markov-modulated infinite-server queues are generalized and new results for several background processes and scalings are established in examples. |
Year | DOI | Venue |
|---|---|---|
2016 | https://doi.org/10.1007/s11134-015-9470-x | Queueing Syst. |
Keywords | Field | DocType |
Infinite-server queue,Random environment,Modulation,Large deviations principle,60K25,60F10 | Mathematical optimization,Queue,Modulation,Background process,Large deviations theory,Scaling,Mathematics,Random environment | Journal |
Volume | Issue | ISSN |
82 | 1-2 | 0257-0130 |
Citations | PageRank | References |
1 | 0.44 | 4 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| H. M. Jansen | 1 | 1 | 0.44 |
| M. R. H. Mandjes | 2 | 16 | 4.24 |
| Koen De Turck | 3 | 98 | 19.83 |
| Sabine Wittevrongel | 4 | 219 | 37.58 |