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Regularly varying tail of the waiting time distribution in M/G/1 retrial queue
- Authors
- Kim, Jerim; Kim, Jeongsim; Kim, Bara
- Issue Date
- 8월-2010
- Publisher
- SPRINGER
- Keywords
- M/G/1 retrial queue; Regular variation; Waiting time distribution; Stochastic comparison; Random order service
- Citation
- QUEUEING SYSTEMS, v.65, no.4, pp.365 - 383
- Indexed
- SCIE
SCOPUS
- Journal Title
- QUEUEING SYSTEMS
- Volume
- 65
- Number
- 4
- Start Page
- 365
- End Page
- 383
- ISSN
- 0257-0130
- Abstract
- We consider an M/G/1 retrial queue where the service time distribution has a regularly varying tail with index -beta, beta > 1. The waiting time distribution is shown to have a regularly varying tail with index 1-beta, and the pre-factor is determined explicitly. The result is obtained by comparing the waiting time in the M/G/1 retrial queue with the waiting time in the ordinary M/G/1 queue with random order service policy.
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Collections - College of Science > Department of Mathematics > 1. Journal Articles
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