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

Mohammad Saleh Mustaffa, and Abu Talib Othman, (1996) 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). pp. 6-11. ISSN 0127-9084

Full text not available from this repository.

Official URL: http://ejum.fsktm.um.edu.my/ArticleInformation.aspx?ArticleID=2

Affiliations

Universiti Pertanian Malaysia. Dept. of Computer Science
Universiti Pertanian Malaysia. Computer Center

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.

Item Type:Journal
Keywords:Queuing systems, Performance evaluation, Computer networks, Linear algebraic approach
Subjects:Q Science, Computer Science
ID Code:87

Lester Lipsky, “Explicit Solutions of M/G/C/ /Ntype Queuing Loops with Generalizations”, Operations Research, Vol. 33, No. 4, July-August, 1985, pp. 911-927.

J. L. Carrol and others, “Solutions of M/G/1/ /Ntype Loops with Extensions to M/G/1 and GI/M/1 Queues”, Operations Research, Vol. 30, No. 3, May-June, 1982, pp. 490-514.

Lester Lipsky, Queuing Theory A Linear Algebraic Approach. Singapore: Macmillan Publishing Company, 1992.

Demetres D. Kouvatsos, “A Maximum Entropy Analysis of the G/G/1 Queue at Equilibrium”, J.Opl. Res. Soc. Vol. 39, No. 2, 1988, pp. 183-200.

M. A. El-Affendi and D. D. Kouvatsos, “A Maximum Entropy Analysis of the M/G/1 and G/M/1 Queuing Systems at Equilibrium”, Acta Informatica Vol. 19, 1983, pp. 339-355.

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