Issue |
RAIRO-Oper. Res.
Volume 48, Number 4, October-December 2014
|
|
---|---|---|
Page(s) | 521 - 543 | |
DOI | https://doi.org/10.1051/ro/2014022 | |
Published online | 11 July 2014 |
Finite buffer GI/Geo/ 1 batch servicing queue with multiple working vacations
Department of Applied Mathematics, Andhra University, Visakhapatnam 530 003,
India.
vijayaiit2003@yahoo.co.in; mail2jyothsnak@yahoo.co.in
Received:
3
May
2013
Accepted:
27
March
2014
This paper analyzes a discrete-time finite buffer renewal input queue with multiple working vacations where services are performed in batches of maximum size “b”. The service times both during a regular service period and vacation period and vacation times are geometrically distributed. Employing the supplementary variable and imbedded Markov chain techniques, we derive the steady-state queue length distributions at pre-arrival, arbitrary and outside observer’s observation epochs. Based on the queue length distributions, some performance measures and waiting time distribution in the queue have been discussed. Finally, numerical results showing the effect of model parameters on the key performance measures are presented.
Mathematics Subject Classification: 60K25 / 90B22
Key words: Discrete-time / finite buffer / batch service / multiple working vacations / waiting time
© EDP Sciences, ROADEF, SMAI 2014
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.