Article ID: | iaor20072836 |
Country: | United Kingdom |
Volume: | 58 |
Issue: | 3 |
Start Page Number: | 368 |
End Page Number: | 377 |
Publication Date: | Mar 2007 |
Journal: | Journal of the Operational Research Society |
Authors: | Gupta U.C., Samanta S.K., Sharma R.K. |
Keywords: | GI/G/1 queues, vacation models |
This paper investigates a discrete-time single-server finite-buffer queueing system with multiple vacations in which arrivals occur according to a discrete-time renewal process. Service and vacation times are mutually independent and geometrically distributed. We obtain steady-state system length distributions at prearrival, arbitrary and outside observer's observation epochs under the late arrival system with delayed access and early arrival system. The analysis of actual waiting-time for both the systems has also been carried out. The model has potential application in high-speed computer network, digital communication systems and other related areas.