Analytically Simple and Computationally Efficient Results for the GIXGeoc Queues
Joint Authors
Chaudhry, Mohan L.
Kim, James J.
Banik, Abhijit D.
Source
Journal of Probability and Statistics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-09-03
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
A simple solution to determine the distributions of queue-lengths at different observation epochs for the model GIX/Geo/c is presented.
In the past, various discrete-time queueing models, particularly the multiserver bulk-arrival queues, have been solved using complicated methods that lead to incomplete results.
The purpose of this paper is to use the roots method to solve the model GIX/Geo/c that leads to a result that is analytically elegant and computationally efficient.
This method works well even for the case when the inter-batch-arrival times follow heavy-tailed distributions.
The roots of the underlying characteristic equation form the basis for all distributions of queue-lengths at different time epochs.
American Psychological Association (APA)
Chaudhry, Mohan L.& Kim, James J.& Banik, Abhijit D.. 2019. Analytically Simple and Computationally Efficient Results for the GIXGeoc Queues. Journal of Probability and Statistics،Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1186858
Modern Language Association (MLA)
Chaudhry, Mohan L.…[et al.]. Analytically Simple and Computationally Efficient Results for the GIXGeoc Queues. Journal of Probability and Statistics No. 2019 (2019), pp.1-18.
https://search.emarefa.net/detail/BIM-1186858
American Medical Association (AMA)
Chaudhry, Mohan L.& Kim, James J.& Banik, Abhijit D.. Analytically Simple and Computationally Efficient Results for the GIXGeoc Queues. Journal of Probability and Statistics. 2019. Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1186858
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186858