The Analysis, Optimization, and Simulation of a Two-Stage Tandem Queueing Model with Hyperexponential Service Time at Second Stage
Joint Authors
Zobu, Müjgan
Sağlam, Vedat
Sağır, Murat
Yücesoy, Erdinç
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-11
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The aim of this paper is to analyze a tandem queueing model with two stages.
The arrivals to the first stage are Poisson stream and the service time at this stage is exponential.
There is no waiting room at first stage.
The service time is hyperexponential and no waiting is allowed at second stage.
The transition probabilities and loss probabilities of this model are obtained.
In addition, the loss probability at second stage is optimized.
Performance measures and the variance of the numbers of customers of this tandem queueing model are found.
It is seen that the numbers of customers in first stage and second stage are dependent.
Finally we have simulated this queueing model.
For different values of parameters, exact values, simulated values, and optimal values of obtained performance measures of this model are numerically shown in tables and graphs.
American Psychological Association (APA)
Sağlam, Vedat& Sağır, Murat& Yücesoy, Erdinç& Zobu, Müjgan. 2015. The Analysis, Optimization, and Simulation of a Two-Stage Tandem Queueing Model with Hyperexponential Service Time at Second Stage. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1073089
Modern Language Association (MLA)
Sağlam, Vedat…[et al.]. The Analysis, Optimization, and Simulation of a Two-Stage Tandem Queueing Model with Hyperexponential Service Time at Second Stage. Mathematical Problems in Engineering No. 2015 (2015), pp.1-6.
https://search.emarefa.net/detail/BIM-1073089
American Medical Association (AMA)
Sağlam, Vedat& Sağır, Murat& Yücesoy, Erdinç& Zobu, Müjgan. The Analysis, Optimization, and Simulation of a Two-Stage Tandem Queueing Model with Hyperexponential Service Time at Second Stage. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1073089
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073089