A Linear Algebraic Approach In Analyzing the M/GE/1 And GE/M/1 Queuing Systems At Equilibrium

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Mohammad Saleh bin Mustafa
Abu Talib bin Othman

Abstract

Uses the algebraic approach in the queuing theory to derive the M/G/1 equilibrium solution for the number of jobs in the system when the probability distribution function representing the general distribution is the generalized exponential (GE-type). Similarly the GE/M/1 system is solved. Furthermore, it has been shown that as expected the solutions are equivalent to the maximum entropy solutions of the M/G/1 and G/M/1 systems respectively at equilibrium.

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How to Cite
bin Mustafa, M. S., & bin Othman, A. T. (2017). A Linear Algebraic Approach In Analyzing the M/GE/1 And GE/M/1 Queuing Systems At Equilibrium. Malaysian Journal of Computer Science, 9(1), 6–11. Retrieved from https://jml.um.edu.my/index.php/MJCS/article/view/2889
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