Tail asymptotics for the queue size distribution in a discrete-time Geo/G/1 retrial queue
- Authors
- Kim, Bara; Kim, Jeongsim
- Issue Date
- 3월-2009
- Publisher
- SPRINGER
- Keywords
- Geo/G/1 retrial queue; Tail asymptotics; Queue size distribution
- Citation
- QUEUEING SYSTEMS, v.61, no.2-3, pp.243 - 254
- Indexed
- SCIE
SCOPUS
- Journal Title
- QUEUEING SYSTEMS
- Volume
- 61
- Number
- 2-3
- Start Page
- 243
- End Page
- 254
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/120483
- DOI
- 10.1007/s11134-009-9106-0
- ISSN
- 0257-0130
- Abstract
- We consider a discrete-time Geo/G/1 retrial queue where the service time distribution has a finite exponential moment. We show that the tail of the queue size distribution is asymptotically geometric. Remarkably, the result is inconsistent with the corresponding result in the continuous-time counterpart, the M/G/1 retrial queue, where the tail of the queue size distribution is asymptotically given by a geometric function multiplied by a power function.
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Collections - College of Science > Department of Mathematics > 1. Journal Articles
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