A Discrete-Time Unreliable GeoG1 Retrial Queue with Balking Customers, Second Optional Service, and General Retrial Times
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-29
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper deals with the steady-state behavior of a discrete-time unreliable Geo/G/1 retrial queueing system with balking customers and second optional service.
The server may break down randomly while serving the customers.
If the server breaks down, the server is sent to be repaired immediately.
We analyze the Markov chain underlying the considered system and its ergodicity condition.
Then, we obtain some performance measures based on the generating functions.
Moreover, a stochastic decomposition result of the system size is investigated.
Finally, some numerical examples are provided to illustrate the effect of some parameters on main performance measures of the system.
American Psychological Association (APA)
Zhang, Feng& Zhu, Zhifeng. 2013. A Discrete-Time Unreliable GeoG1 Retrial Queue with Balking Customers, Second Optional Service, and General Retrial Times. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1010891
Modern Language Association (MLA)
Zhang, Feng& Zhu, Zhifeng. A Discrete-Time Unreliable GeoG1 Retrial Queue with Balking Customers, Second Optional Service, and General Retrial Times. Mathematical Problems in Engineering No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-1010891
American Medical Association (AMA)
Zhang, Feng& Zhu, Zhifeng. A Discrete-Time Unreliable GeoG1 Retrial Queue with Balking Customers, Second Optional Service, and General Retrial Times. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1010891
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010891