Article contents
The mean waiting time of a GI/G/1 queue in light traffic via random thinning
Published online by Cambridge University Press: 14 July 2016
Abstract
In this paper, we derive the MacLaurin series of the mean waiting time in light traffic for a GI/G/1 queue. The light traffic is defined by random thinning of the arrival process. The MacLaurin series is derived with respect to the admission probability, and we prove that it has a positive radius of convergence. In the numerical examples, we use the MacLaurin series to approximate the mean waiting time beyond light traffic by means of Padé approximation.
MSC classification
- Type
- Research Papers
- Information
- Copyright
- Copyright © Applied Probability Trust 1995
References
- 5
- Cited by