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ISSN : 1598-7248 (Print)
ISSN : 2234-6473 (Online)
Industrial Engineering & Management Systems Vol.7 No.2 pp.143-149
DOI :

Proposal of Approximation Analysis Method for GI/G/1 Queueing System

Ikuo Arizono, 1Fangfang Kong, 2Ippei Nakase, 3Yasuhiko Takemoto
Osaka Prefecture University, Osaka 599-8531, JAPAN
1Osaka Prefecture University, Osaka 599-8531, JAPAN

2Osaka Prefecture University, Osaka 599-8531, JAPAN

3Prefectural University of Hiroshima, Hiroshima, 734-8558, JAPAN
Selected paper from APIEM 2006

Abstract

There have been some approximation analysis methods for a GI/G/1 queueing system. As one of them, an approximation technique for the steady-state probability in the GI/G/1 queueing system based on the iteration numerical calculation has been proposed. As another one, an approximation formula of the average queue length in the GI/G/1 queueing system by using the diffusion approximation or the heuristics extended diffusion approximation has been developed. In this article, an approximation technique in order to analyze the GI/G/1 queueing system is considered and then the formulae of both the steady-state probability and the average queue length in the GI/G/1 queueing system are proposed. Through some numerical examples by the proposed technique, the existing approximation methods, and the Monte Carlo simulation, the effectiveness of the proposed approximation technique is verified.

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