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Paper Abstract and Keywords
Presentation 2016-05-19 12:00
Note on Bistability of Slotted ALOHA Systems with Delay Constraints
Takayuki Horiuchi, Katsumi Sakakibara, Jumpei Taketsugu (Okayama Pref. Univ.) IN2016-4
Abstract (in Japanese) (See Japanese page) 
(in English) Bistable behavior of slotted ALOHA systems has been extensively investigated,
since 1970s.
It is proved that
bistable region can be eliminated
by limiting the number of packet transmission attempts by eight or less.
In this report,
we investigate bistable behavior of slotted ALOHA systems with delay constraints
with the aid of the catastrophe theory.
A lifetime of a packet is confined within $D$ slots,
that is,
a packet will be discarded after timer of $D$ slots expired,
unless packet transmission succeeds.
Letting $r$ be the packet transmission probability in a slot,
we indicate that
there exists a cusp catastrophe,
if the product $Dr$ is greater than 8.30,
and that
the system can operate with the unique stable equilibrium point,
if $Dr$ is less than 8.30.
Keyword (in Japanese) (See Japanese page) 
(in English) slotted ALOHA / bistability / catastrophe theory / delay constraint / / / /  
Reference Info. IEICE Tech. Rep., vol. 116, no. 45, IN2016-4, pp. 19-24, May 2016.
Paper # IN2016-4 
Date of Issue 2016-05-12 (IN) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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. (No. 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF IN2016-4

Conference Information
Committee IN RCS  
Conference Date 2016-05-19 - 2016-05-20 
Place (in Japanese) (See Japanese page) 
Place (in English) Kikai-Shinko-Kaikan Bldg. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To IN 
Conference Code 2016-05-IN-RCS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Note on Bistability of Slotted ALOHA Systems with Delay Constraints 
Sub Title (in English)  
Keyword(1) slotted ALOHA  
Keyword(2) bistability  
Keyword(3) catastrophe theory  
Keyword(4) delay constraint  
1st Author's Name Takayuki Horiuchi  
1st Author's Affiliation Okayama Prefectural University (Okayama Pref. Univ.)
2nd Author's Name Katsumi Sakakibara  
2nd Author's Affiliation Okayama Prefectural University (Okayama Pref. Univ.)
3rd Author's Name Jumpei Taketsugu  
3rd Author's Affiliation Okayama Prefectural University (Okayama Pref. Univ.)
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Date Time 2016-05-19 12:00:00 
Presentation Time 25 
Registration for IN 
Paper # IEICE-IN2016-4 
Volume (vol) IEICE-116 
Number (no) no.45 
Page pp.19-24 
#Pages IEICE-6 
Date of Issue IEICE-IN-2016-05-12 

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