On the Discrete-Time G e o G 1 Queue with Vacations in Random Environment
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-06-15
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A discrete-time G e o / G / 1 queue with vacations in random environment is analyzed.
Using the method of supplementary variable, we give the probability generating function (PGF) of the stationary queue length distribution at arbitrary epoch.
The PGF of the stationary sojourn time distribution is also derived.
And we present the various performance measures such as mean number of customers in the system, mean length of the type- i cycle, and mean time that the system resides in phase 0 .
In addition, we show that the M / G / 1 queue with vacations in random environment can be approximated by its discrete-time counterpart.
Finally, we present some special cases of the model and numerical examples.
American Psychological Association (APA)
Li, Jianjun& Liu, Liwei. 2016. On the Discrete-Time G e o G 1 Queue with Vacations in Random Environment. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1103430
Modern Language Association (MLA)
Li, Jianjun& Liu, Liwei. On the Discrete-Time G e o G 1 Queue with Vacations in Random Environment. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1103430
American Medical Association (AMA)
Li, Jianjun& Liu, Liwei. On the Discrete-Time G e o G 1 Queue with Vacations in Random Environment. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1103430
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103430
