On the Discrete-Time GeoXG1 Queues under N-Policy with Single and Multiple Vacations
Joint Authors
Lim, Dae-Eun
Kim, Nam K.
Kim, Sung J.
Park, Hyun-Min
Chae, Kyung Chul
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-26
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We consider the discrete-time GeoX/G/1 queue under N-policy with single and multiple vacations.
In this queueing system, the server takes multiple vacations and a single vacation whenever the system becomes empty and begins to serve customers only if the queue length is at least a predetermined threshold value N.
Using the well-known property of stochastic decomposition, we derive the stationary queue-length distributions for both vacation models in a simple and unified manner.
In addition, we derive their busy as well as idle-period distributions.
Some classical vacation models are considered as special cases.
American Psychological Association (APA)
Kim, Sung J.& Kim, Nam K.& Park, Hyun-Min& Chae, Kyung Chul& Lim, Dae-Eun. 2013. On the Discrete-Time GeoXG1 Queues under N-Policy with Single and Multiple Vacations. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-483002
Modern Language Association (MLA)
Kim, Sung J.…[et al.]. On the Discrete-Time GeoXG1 Queues under N-Policy with Single and Multiple Vacations. Journal of Applied Mathematics No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-483002
American Medical Association (AMA)
Kim, Sung J.& Kim, Nam K.& Park, Hyun-Min& Chae, Kyung Chul& Lim, Dae-Eun. On the Discrete-Time GeoXG1 Queues under N-Policy with Single and Multiple Vacations. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-483002
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483002