The Discrete-Time Bulk-Service GeoGeo1 Queue with Multiple Working Vacations
Joint Authors
Tang, Yinghui
Cheng, Jiang
Yu, Miaomiao
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-25
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper deals with a discrete-time bulk-service Geo/Geo/1 queueing system with infinite buffer space and multiple working vacations.
Considering an early arrival system, as soon as the server empties the system in a regular busy period, he leaves the system and takes a working vacation for a random duration at time n.
The service times both in a working vacation and in a busy period and the vacation times are assumed to be geometrically distributed.
By using embedded Markov chain approach and difference operator method, queue length of the whole system at random slots and the waiting time for an arriving customer are obtained.
The queue length distributions of the outside observer’s observation epoch are investigated.
Numerical experiment is performed to validate the analytical results.
American Psychological Association (APA)
Cheng, Jiang& Tang, Yinghui& Yu, Miaomiao. 2013. The Discrete-Time Bulk-Service GeoGeo1 Queue with Multiple Working Vacations. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-483018
Modern Language Association (MLA)
Cheng, Jiang…[et al.]. The Discrete-Time Bulk-Service GeoGeo1 Queue with Multiple Working Vacations. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-483018
American Medical Association (AMA)
Cheng, Jiang& Tang, Yinghui& Yu, Miaomiao. The Discrete-Time Bulk-Service GeoGeo1 Queue with Multiple Working Vacations. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-483018
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483018