Flow time analysis of load management late arrival discrete time queueing system with dual service rate using hypogeometrical distribution.

Syed Asif Ali Shah; Wajiha Shah; Faisal Karim Shaikh

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Flow time analysis of load management late arrival discrete time queueing system with dual service rate using hypogeometrical distribution.

Author(s)

Syed Asif Ali Shah Department of Electrical Engineering, Mehran University of Engineering & Technology, Jamshoro, Pakistan

Wajiha Shah Department of Telecommunication Engineering, Mehran University of Engineering & Technology, Jamshoro, Pakistan

Faisal Karim Shaikh Department of Electronic Engineering, Mehran University of Engineering & Technology, Jamshoro, Pakistan

Abstract

Flow time analysis is a powerful concept to analyze the flow time of any arriving customer in any system at any instant. A load management mechanism can be employed very effectively in any queueing system by utilizing a system which provides probability of dual service rate. In this paper, we develop and demonstrate the flow and service processes transition diagram to determine the flow time of a customer in a load management late arrival state dependent finite discrete time queueing system with dual service rate where customers are hypogeometrically distributed. We compute the probability mass function of each starting state and total probability mass function. The obtained analytical results are validated with simulation results for varying values of arrival and service probabilities.

Publication Details

Page(s) 67-74

DOI DOI not available

Published Journal: Mehran University Research Journal of Engineering and Technology, Volume: 31, Issue: 1, Year: 2012

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