A Discrete Time Queueing Approach to Model and Evaluate Slotted Ring Network Buffer using Matrix Geometric Method

A Discrete Time Queueing Approach to Model and Evaluate Slotted Ring Network Buffer using Matrix Geometric Method

Assorted analytical methods have been proposed for evaluating the performance of a slotted ring network. This paper proposes MGM (Matrix Geometric Method) to analyze the station buffer of a slotted ring for DT (Discrete-Time) queueing. The slotted ring is analyzed for infinite station buffer as a...

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Main Authors: Syed Asif Ali Shah, Wajiha Shah, Ahsan Ahmad Ursani
Format: Article
Language:English
Published: Mehran University of Engineering and Technology 2011-01-01
Series:Mehran University Research Journal of Engineering and Technology
Subjects:
Access Control
MGM
Slotted Ring Network
Throughput
MPAD.
Online Access:http://publications.muet.edu.pk/research_papers/pdf/pdf71.pdf
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spelling doaj-26e9472222a8454a9b9b2cd09c0464972020-11-24T22:53:32ZengMehran University of Engineering and TechnologyMehran University Research Journal of Engineering and Technology0254-78212413-72192011-01-0130115916671A Discrete Time Queueing Approach to Model and Evaluate Slotted Ring Network Buffer using Matrix Geometric MethodSyed Asif Ali ShahWajiha ShahAhsan Ahmad UrsaniAssorted analytical methods have been proposed for evaluating the performance of a slotted ring network. This paper proposes MGM (Matrix Geometric Method) to analyze the station buffer of a slotted ring for DT (Discrete-Time) queueing. The slotted ring is analyzed for infinite station buffer as a late arrival DT system. Utilizing the characteristics of 2-D Markov chain, various performance measures are validated with their corresponding results such as, throughput and MPAD (Mean Packet Access Delay) as well as the packet rejection probability for finite station buffer. The presented results prove efficacy of the method.http://publications.muet.edu.pk/research_papers/pdf/pdf71.pdfAccess ControlMGMSlotted Ring NetworkThroughputMPAD.
collection DOAJ
language English
format Article
sources DOAJ
author Syed Asif Ali Shah
Wajiha Shah
Ahsan Ahmad Ursani
spellingShingle Syed Asif Ali Shah
Wajiha Shah
Ahsan Ahmad Ursani
A Discrete Time Queueing Approach to Model and Evaluate Slotted Ring Network Buffer using Matrix Geometric Method
Mehran University Research Journal of Engineering and Technology
Access Control
MGM
Slotted Ring Network
Throughput
MPAD.
author_facet Syed Asif Ali Shah
Wajiha Shah
Ahsan Ahmad Ursani
author_sort Syed Asif Ali Shah
title A Discrete Time Queueing Approach to Model and Evaluate Slotted Ring Network Buffer using Matrix Geometric Method
title_short A Discrete Time Queueing Approach to Model and Evaluate Slotted Ring Network Buffer using Matrix Geometric Method
title_full A Discrete Time Queueing Approach to Model and Evaluate Slotted Ring Network Buffer using Matrix Geometric Method
title_fullStr A Discrete Time Queueing Approach to Model and Evaluate Slotted Ring Network Buffer using Matrix Geometric Method
title_full_unstemmed A Discrete Time Queueing Approach to Model and Evaluate Slotted Ring Network Buffer using Matrix Geometric Method
title_sort discrete time queueing approach to model and evaluate slotted ring network buffer using matrix geometric method
publisher Mehran University of Engineering and Technology
series Mehran University Research Journal of Engineering and Technology
issn 0254-7821
2413-7219
publishDate 2011-01-01
description Assorted analytical methods have been proposed for evaluating the performance of a slotted ring network. This paper proposes MGM (Matrix Geometric Method) to analyze the station buffer of a slotted ring for DT (Discrete-Time) queueing. The slotted ring is analyzed for infinite station buffer as a late arrival DT system. Utilizing the characteristics of 2-D Markov chain, various performance measures are validated with their corresponding results such as, throughput and MPAD (Mean Packet Access Delay) as well as the packet rejection probability for finite station buffer. The presented results prove efficacy of the method.
topic Access Control
MGM
Slotted Ring Network
Throughput
MPAD.
url http://publications.muet.edu.pk/research_papers/pdf/pdf71.pdf
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