A Discrete-Time GeoG1 Retrial Queue with Two Different Types of Vacations
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-28
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We analyze a discrete-time Geo/G/1 retrial queue with two different types of vacations and general retrial times.
Two different types of vacation policies are investigated in this model, one of which is nonexhaustive urgent vacation during serving and the other is normal exhaustive vacation.
For this model, we give the steady-state analysis for the considered queueing system.
Firstly, we obtain the generating functions of the number of customers in our model.
Then, we obtain the closed-form expressions of some performance measures and also give a stochastic decomposition result for the system size.
Moreover, the relationship between this discrete-time model and the corresponding continuous-time model is also investigated.
Finally, some numerical results are provided to illustrate the effect of nonexhaustive urgent vacation on some performance characteristics of the system.
American Psychological Association (APA)
Zhang, Feng& Zhu, Zhifeng. 2015. A Discrete-Time GeoG1 Retrial Queue with Two Different Types of Vacations. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1074849
Modern Language Association (MLA)
Zhang, Feng& Zhu, Zhifeng. A Discrete-Time GeoG1 Retrial Queue with Two Different Types of Vacations. Mathematical Problems in Engineering No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1074849
American Medical Association (AMA)
Zhang, Feng& Zhu, Zhifeng. A Discrete-Time GeoG1 Retrial Queue with Two Different Types of Vacations. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1074849
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074849