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The N×D-BMAPG1 Queueing Model : Queue Contents and Delay Analysis
Joint Authors
Walraevens, Joris
Bruneel, Herwig
Steyaert, Bart
Fiems, Dieter
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-31, 31 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-26
Country of Publication
Egypt
No. of Pages
31
Main Subjects
Abstract EN
We consider a single-server discrete-time queueing system with N sources, where each source is modelled as a correlated Markovian customer arrival process, and the customer service times are generally distributed.
We focus on the analysis of the number of customers in the queue, the amount of work in the queue, and the customer delay.
For each of these quantities, we will derive an expression for their steady-state probability generating function, and from these results, we derive closed-form expressions for key performance measures such as their mean value, variance, and tail distribution.
A lot of emphasis is put on finding closed-form expressions for these quantities that reduce all numerical calculations to an absolute minimum.
American Psychological Association (APA)
Steyaert, Bart& Walraevens, Joris& Fiems, Dieter& Bruneel, Herwig. 2011. The N×D-BMAPG1 Queueing Model : Queue Contents and Delay Analysis. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-31.
https://search.emarefa.net/detail/BIM-469092
Modern Language Association (MLA)
Steyaert, Bart…[et al.]. The N×D-BMAPG1 Queueing Model : Queue Contents and Delay Analysis. Mathematical Problems in Engineering No. 2011 (2011), pp.1-31.
https://search.emarefa.net/detail/BIM-469092
American Medical Association (AMA)
Steyaert, Bart& Walraevens, Joris& Fiems, Dieter& Bruneel, Herwig. The N×D-BMAPG1 Queueing Model : Queue Contents and Delay Analysis. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-31.
https://search.emarefa.net/detail/BIM-469092
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469092