Analysis of finite capacity discrete-time GI/Geo/1 queueing system with multiple vacations

Analysis of finite capacity discrete-time GI/Geo/1 queueing system with multiple vacations

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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: , ,
Keywords: GI/G/1 queues, vacation models
Abstract:

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.

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