![](/images/graphics-bg.png)
On the Two-Moment Approximation of the Discrete-Time GIG1 Queue with a Single Vacation
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-10-24
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We consider a discrete-time GI/G/1 queue in which the server takes exactly one vacation each time the system becomes empty.
The interarrival times of arriving customers, the service times, and the vacation times are all generic discrete random variables.
Under our study, we derive an exact transform-free expression for the stationary system size distribution through the modified supplementary variable technique.
Utilizing obtained results, we introduce a simple two-moment approximation for the system size distribution.
From this, approximations for the mean system size along with the system size distribution could be obtained.
Finally, some numerical examples are given to validate the proposed approximation method.
American Psychological Association (APA)
Lee, Doo Ho. 2016. On the Two-Moment Approximation of the Discrete-Time GIG1 Queue with a Single Vacation. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1103487
Modern Language Association (MLA)
Lee, Doo Ho. On the Two-Moment Approximation of the Discrete-Time GIG1 Queue with a Single Vacation. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1103487
American Medical Association (AMA)
Lee, Doo Ho. On the Two-Moment Approximation of the Discrete-Time GIG1 Queue with a Single Vacation. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1103487
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103487