![](/images/graphics-bg.png)
A Discrete-Time GeoG1 Retrial Queue with J Vacations and Two Types of Breakdowns
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-12
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper is concerned with a discrete-time Geo/G/1 retrial queueing model with J vacations and two types of breakdowns.
If the orbit is empty, the server takes at most J vacations repeatedly until at least one customer appears in the orbit upon returning from a vacation.
It is assumed that the server is subject to two types of different breakdowns and is sent immediately for repair.
We analyze the Markov chain underlying the considered queueing system and derive the system state distribution as well as the orbit size and the system size distributions in terms of their generating functions.
Then, we obtain some performance measures through the generating functions.
Moreover, the stochastic decomposition property and the corresponding continuous-time queueing system are investigated.
Finally, some numerical examples are provided to illustrate the effect of vacations and breakdowns on several performance measures of the system.
American Psychological Association (APA)
Zhang, Feng& Zhu, Zhifeng. 2013. A Discrete-Time GeoG1 Retrial Queue with J Vacations and Two Types of Breakdowns. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-501865
Modern Language Association (MLA)
Zhang, Feng& Zhu, Zhifeng. A Discrete-Time GeoG1 Retrial Queue with J Vacations and Two Types of Breakdowns. Journal of Applied Mathematics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-501865
American Medical Association (AMA)
Zhang, Feng& Zhu, Zhifeng. A Discrete-Time GeoG1 Retrial Queue with J Vacations and Two Types of Breakdowns. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-501865
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-501865