Study on the Departure Process of Discrete-Time GeoG1 Queue with Randomized Vacations
Joint Authors
Huang, Xiaoying
Luo, Chuanyi
Ding, Chuan
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-26
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper presents an analysis of the departure process of a discrete-time Geo/G/1 queue with randomized vacations.
By using probability decomposition techniques and renewal process, the expression of expected number of departures during time interval (0+,n+] is derived.
The relation among departure process, server state process, and service renewal process is obtained.
The relation displays the decomposition characteristic of the departure process.
Furthermore, the approximate expansion of the expected number of departures is gained.
Since the departure process also often corresponds to an arrival process for a downstream queue in queueing network, it is hoped that the results obtained in this paper may provide useful information for queueing network.
American Psychological Association (APA)
Luo, Chuanyi& Huang, Xiaoying& Ding, Chuan. 2014. Study on the Departure Process of Discrete-Time GeoG1 Queue with Randomized Vacations. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-494718
Modern Language Association (MLA)
Luo, Chuanyi…[et al.]. Study on the Departure Process of Discrete-Time GeoG1 Queue with Randomized Vacations. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-494718
American Medical Association (AMA)
Luo, Chuanyi& Huang, Xiaoying& Ding, Chuan. Study on the Departure Process of Discrete-Time GeoG1 Queue with Randomized Vacations. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-494718
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-494718