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Paper Abstract and Keywords
Presentation 2015-07-31 15:35
Decomposition of a multi-state system by series systems
Fumio Ohi (N.I.T.) R2015-19
Abstract (in Japanese) (See Japanese page) 
(in English) It is well-known for every binary state system to be decomposed into a family of series systems or of parallel systems and be able to be coposed by taking $max$ or $min$ of them, using the minimal path or cut sets. These decomposition and composition are used to give usefull stochastic evaluation methods for binary state systems. In this paper we show that a multi-state sytem is decomposed into a family of multi-state series systems, which means that the family of all series and parallel sytems is a basis as for the binary state case, and the structure function of the multi-state system is expressed by taking $max$ of the series systems or $min$ of the parallel systems. Furthermore, using the decoposition, we show a stochastic bounds for reliability performances of a multi-state system.
Keyword (in Japanese) (See Japanese page) 
(in English) multi-state monotone system / multi-state series system / partially ordered state space / series decomposition / / / /  
Reference Info. IEICE Tech. Rep., vol. 115, no. 167, R2015-19, pp. 31-35, July 2015.
Paper # R2015-19 
Date of Issue 2015-07-24 (R) 
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 R2015-19

Conference Information
Committee R  
Conference Date 2015-07-31 - 2015-07-31 
Place (in Japanese) (See Japanese page) 
Place (in English)  
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Paper Information
Registration To R 
Conference Code 2015-07-R 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Decomposition of a multi-state system by series systems 
Sub Title (in English)  
Keyword(1) multi-state monotone system  
Keyword(2) multi-state series system  
Keyword(3) partially ordered state space  
Keyword(4) series decomposition  
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1st Author's Name Fumio Ohi  
1st Author's Affiliation Nagoya Institute of Technology (N.I.T.)
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Speaker Author-1 
Date Time 2015-07-31 15:35:00 
Presentation Time 25 minutes 
Registration for R 
Paper # R2015-19 
Volume (vol) vol.115 
Number (no) no.167 
Page pp.31-35 
#Pages 5 
Date of Issue 2015-07-24 (R) 

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