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- 저자 : Ippei Nakase (검색결과 2 건)
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Proposal of Approximation Analysis Method for GI/G/1 Queueing System
Fangfang Kong,Ippei Nakase,Ikuo Arizono,Yasuhiko Takemoto 대한산업공학회 2008 Industrial Engineeering & Management Systems Vol.7 No.2
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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Proposal of Approximation Analysis Method for GI/G/1 Queueing System
Kong, Fangfang,Nakase, Ippei,Arizono, Ikuo,Takemoto, Yasuhiko Korean Institute of Industrial Engineers 2008 Industrial Engineeering & Management Systems Vol.7 No.2
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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