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Paper Abstract and Keywords
Presentation 2008-09-11 10:20
A Diffusion Process Approximation for the GI/G/1 Round-Robin System
Kentaro Hoshi, Sumito Iijima, Yoshitaka Takahashi, Naohisa Komatsu (Waseda Univ.) IN2008-44
Abstract (in Japanese) (See Japanese page) 
(in English) As Kleinrock has pointed out, perhaps the most well-known and widely used scheduling for sharing a CPU or server is the round-robin (RR) algorithm, where a user (customer, job, packet, cell, block, and task) will require one quantum (or several quanta) of its service time. Tele-traffic modeling the RR system leads to a single-server infinite-capacity queueing system. Under Poisson arrival input, there is much literature on the RR queueing analyses. However, there is almost no literature on the GI/GI/1 RR queue. In this talk, we consider Model A where the number of feedbacks is (pre-assigned and) generally distributes. We also consider Model B where the feedback will be determined (post-assigned) after the quantum service; the customer joins the tail of the queue with probability p, while the customer leaves the system with probability 1-p.We present the mean performance measures (e.q. the mean number of customers) by using a diffusion process approximation. We confirm the accuracy of the approximation via by computing simulation results.
Keyword (in Japanese) (See Japanese page) 
(in English) GI/GI/1 system / Feedback system / Round-robin / Diffusion approximation / Bernoulli / / /  
Reference Info. IEICE Tech. Rep., vol. 108, no. 204, IN2008-44, pp. 7-7, Sept. 2008.
Paper # IN2008-44 
Date of Issue 2008-09-04 (IN) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee CS IN NS  
Conference Date 2008-09-11 - 2008-09-12 
Place (in Japanese) (See Japanese page) 
Place (in English) Tohoku University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Overlay networks, VPN, DDos, network security, p2p communications, network software, etc. 
Paper Information
Registration To IN 
Conference Code 2008-09-CS-IN-NS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Diffusion Process Approximation for the GI/G/1 Round-Robin System 
Sub Title (in English)  
Keyword(1) GI/GI/1 system  
Keyword(2) Feedback system  
Keyword(3) Round-robin  
Keyword(4) Diffusion approximation  
Keyword(5) Bernoulli  
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1st Author's Name Kentaro Hoshi  
1st Author's Affiliation Waseda University (Waseda Univ.)
2nd Author's Name Sumito Iijima  
2nd Author's Affiliation Waseda University (Waseda Univ.)
3rd Author's Name Yoshitaka Takahashi  
3rd Author's Affiliation Waseda University (Waseda Univ.)
4th Author's Name Naohisa Komatsu  
4th Author's Affiliation Waseda University (Waseda Univ.)
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Speaker Author-1 
Date Time 2008-09-11 10:20:00 
Presentation Time 20 minutes 
Registration for IN 
Paper # IN2008-44 
Volume (vol) vol.108 
Number (no) no.204 
Page p.7 
#Pages
Date of Issue 2008-09-04 (IN) 


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