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Duffy, Ken R. and Sullivan, Wayne G. (2004) Logarithmic asymptotics for unserved messages at a FIFO. Markov Process and Related Fields, 10 (1). pp. 175-189. ISSN 1024-2953
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Abstract
We consider an infinite{buffered single server First In, First Out (FIFO) queue. Messages
arrives at stochastic intervals and take random amounts of time to process. Logarithmic
asymptotics are proved for the tail of the distribution of the number of messages
awaiting service, under general large deviation and stability assumptions, and formulae
presented for the asymptotic decay rate.
| Item Type: | Article |
|---|---|
| Additional Information: | This is the preprint version of the published article. |
| Keywords: | Logarithmic asymptotics; unserved messages; FIFO; |
| Academic Unit: | Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
| Item ID: | 6223 |
| Depositing User: | Dr Ken Duffy |
| Date Deposited: | 01 Jul 2015 15:26 |
| Journal or Publication Title: | Markov Process and Related Fields |
| Publisher: | Polomat |
| Refereed: | Yes |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/6223 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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