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- Title
Regularly varying tail of the waiting time distribution in M/G/1 retrial queue.
- Authors
Kim, Jerim; Kim, Jeongsim; Kim, Bara
- Abstract
We consider an M/G/1 retrial queue where the service time distribution has a regularly varying tail with index − β, β>1. The waiting time distribution is shown to have a regularly varying tail with index 1− β, 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.
- Subjects
QUEUING theory; DISTRIBUTION (Probability theory); BUSINESS process outsourcing; POISSON processes; MARKOV processes
- Publication
Queueing Systems, 2010, Vol 65, Issue 4, p365
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-010-9180-3