Presentation 2011-04-22
Mean delay approximation for the mean waiting time in the GI/GI/1 queueing system
Kentaro HOSHI, Yu NONAKA, Yoshitaka TAKAHASHI, Naohisa KOMATSU,
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Abstract(in English) Diffusion approximations are developed different ways, yielding different results. In this paper we redevelop the diffusion approximation for the unfinished work process in the GI/G/1 system with reflecting barrier(RB) and elementary return(ER) boundary conditions, denoted as DAU(RB) and DAU(ER). The accuracy comparisons are presented among DAU(RB), DAU(ER), and the diffusion approximations for the queue-length process by Heyman, Kobayashi, and Gelenbe; to answer the question which diffusion approximation is the best.
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Keyword(in English) Diffusion approximation / Unfinished work process / Boundary condition / Performance Evaluation / Tele-traffic Theory
Paper # CQ2011-17
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Committee CQ
Conference Date 2011/4/14(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Mean delay approximation for the mean waiting time in the GI/GI/1 queueing system
Sub Title (in English)
Keyword(1) Diffusion approximation
Keyword(2) Unfinished work process
Keyword(3) Boundary condition
Keyword(4) Performance Evaluation
Keyword(5) Tele-traffic Theory
1st Author's Name Kentaro HOSHI
1st Author's Affiliation Faculty of Fundamental Science and Engineering, Waseda University()
2nd Author's Name Yu NONAKA
2nd Author's Affiliation Faculty of Fundamental Science and Engineering, Waseda University
3rd Author's Name Yoshitaka TAKAHASHI
3rd Author's Affiliation Faculty of Commerce, Waseda University
4th Author's Name Naohisa KOMATSU
4th Author's Affiliation Faculty of Fundamental Science and Engineering, Waseda University
Date 2011-04-22
Paper # CQ2011-17
Volume (vol) vol.111
Number (no) 11
Page pp.pp.-
#Pages 4
Date of Issue