A discrete time queueing approach to model and evaluate slotted ring network buffer using matrix geometric method

Syed Asif Ali SHAH; Wajiha SHAH; Ahsan Ahmad URSANI

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A discrete time queueing approach to model and evaluate slotted ring network buffer using matrix geometric method

Author(s)

Syed Asif Ali SHAH Department of Electrical Engineering, Mehran University of Engineering & Technology, Jamshoro, PAKISTAN

Wajiha SHAH Department of Electronic & Biomedical Engineering, Mehran University of Engineering & Technology, Jamshoro, PAKISTAN

Ahsan Ahmad URSANI Department of Telecommunication Engineering, Mehran University of Engineering & Technology, Jamshoro, PAKISTAN

Abstract

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.

Publication Details

Page(s) 159-166

DOI DOI not available

Published Journal: Mehran University Research Journal of Engineering and Technology, Volume: 30, Issue: 1, Year: 2011

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