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Paper Abstract and Keywords
Presentation 2006-04-20 13:00
Geometric Asymptotics of the Queue Length in the BMAP/D/$c$ Queue
Kentaro Daikoku, Hiroyuki Masuyama (Kyoto Univ.), Tetsuya Takine (Osaka Univ.), Yutaka Takahashi (Kyoto Univ.) NS2006-1
Abstract (in Japanese) (See Japanese page) 
(in English) This paper considers the asymptotic tail distribution of the queue length in a stationary BMAP/D/$c$ queue, noting that the queue length distribution can be obtained as the solution of a Markov chain of M/G/1-type. In terms of input parameters, we explicitly show a sufficient condition under which the tail distribution of the queue length decays geometrically. We also present some numerical examples.
Keyword (in Japanese) (See Japanese page) 
(in English) geometric asymptotics / batch Markovian arrival process (BMAP) / BMAP/D/$c$ queue / constant service / multi-server / / /  
Reference Info. IEICE Tech. Rep., vol. 106, no. 14, NS2006-1, pp. 1-4, April 2006.
Paper # NS2006-1 
Date of Issue 2006-04-13 (NS) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
and
reproduction		 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)
Download PDF NS2006-1

Conference Information
Committee NS  
Conference Date 2006-04-20 - 2006-04-21 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To NS 
Conference Code 2006-04-NS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Geometric Asymptotics of the Queue Length in the BMAP/D/$c$ Queue 
Sub Title (in English)  
Keyword(1) geometric asymptotics  
Keyword(2) batch Markovian arrival process (BMAP)  
Keyword(3) BMAP/D/$c$ queue  
Keyword(4) constant service  
Keyword(5) multi-server  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Kentaro Daikoku  
1st Author's Affiliation Kyoto University (Kyoto Univ.)
2nd Author's Name Hiroyuki Masuyama  
2nd Author's Affiliation Kyoto University (Kyoto Univ.)
3rd Author's Name Tetsuya Takine  
3rd Author's Affiliation Osaka University (Osaka Univ.)
4th Author's Name Yutaka Takahashi  
4th Author's Affiliation Kyoto University (Kyoto Univ.)
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Speaker Author-1 
Date Time 2006-04-20 13:00:00 
Presentation Time 25 minutes 
Registration for NS 
Paper # NS2006-1 
Volume (vol) vol.106 
Number (no) no.14 
Page pp.1-4 
#Pages 4 
Date of Issue 2006-04-13 (NS) 

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