Discrete-time batch service GI/Geo#47;1#47;N queue with accessible and non-accessible batches Online publication date: Thu, 07-Jan-2010
by Veena Goswami, K. Sikdar
International Journal of Mathematics in Operational Research (IJMOR), Vol. 2, No. 2, 2010
Abstract: Discrete-time queues are extensively used in modelling the asynchronous transfer mode environment at cell level. In this paper, we consider a discrete-time single-server finite-buffer queue with general inter-arrival and geometric service times where the services are performed in accessible or non-accessible batches of maximum size b with a minimum threshold value a. We provide a recursive method, using the supplementary variable technique and treating the remaining inter-arrival time as the supplementary variable, to develop the steady-state queue/system length distributions at pre-arrival and arbitrary epochs under the early arrival system. The method is depicted analytically for geometrical and deterministic inter-arrival time distributions, respectively. Various performance measures and outside observer's observation epochs are also discussed. Finally, some computational results have been presented.
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Mathematics in Operational Research (IJMOR):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email subs@inderscience.com
Our Blog 
Follow us on Twitter 
Visit us on Facebook