Fluid queue driven by an m m 1 queue subject to bernoulli-schedule-controlled vacation and vacation interruption
Source
Advances in Operations Research
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-06-08
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Information Technology and Computer Science
Abstract EN
This paper deals with the stationary analysis of a fluid queue driven by an M/M/1 queueing model subject to Bernoulli-Schedule-Controlled Vacation and Vacation Interruption.
The model under consideration can be viewed as a quasi-birth and death process.
The governing system of differential difference equations is solved using matrix-geometric method in the Laplacian domain.
The resulting solutions are then inverted to obtain an explicit expression for the joint steady state probabilities of the content of the buffer and the state of the background queueing model.
Numerical illustrations are added to depict the convergence of the stationary buffer content distribution to one subject to suitable stability conditions.
American Psychological Association (APA)
Anjuka, Atlimuthu. 2016. Fluid queue driven by an m m 1 queue subject to bernoulli-schedule-controlled vacation and vacation interruption. Advances in Operations Research،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-686383
Modern Language Association (MLA)
Anjuka, Atlimuthu. Fluid queue driven by an m m 1 queue subject to bernoulli-schedule-controlled vacation and vacation interruption. Advances in Operations Research No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-686383
American Medical Association (AMA)
Anjuka, Atlimuthu. Fluid queue driven by an m m 1 queue subject to bernoulli-schedule-controlled vacation and vacation interruption. Advances in Operations Research. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-686383
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-686383