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Paper Abstract and Keywords
Presentation 2014-08-01 16:20
Evaluation of algorithm for the reliability of a 3-dimensional k-system
Tomoaki Akiba (CIT), Natsumi Takahashi (TMU), Yoshiki Watanabe (CIT), Hisashi Yamamoto (TMU) R2014-20
Abstract (in Japanese) (See Japanese page) 
(in English) As some types of 2-dimensional consecutive-k-out-of-n:F system, there are connected-(r, s)-out-of-(m, n):F lattice system. For such a system, some methods for calculating its reliability and upper and lower bounds of the reliability have been studied by many researchers. Furthermore, several researches had dealt with the reliability of higher dimensional systems. In this study, we consider a kind of 3-dimensional consecutive-k-out-of-n:F systems, called the 3-dimensional connected-(r_1,r_2,r_3)-out-of-(n_1,n_2,n_3):F lattice system. An enumeration method is applicable to evaluate the exact system reliability only for very small-sized systems, because, when the size of system is large, it takes huge execution time. Therefore, we provide useful for calculating the reliability of this system in a reasonable execution time. In this study, we propose the recursive algorithm for calculating exact reliability of a 3-dimensional connected-(r_1,r_2,r_3)-out-of-(n_1,n_2,n_3):F lattice system, by enhancing the basic idea applied for 2-dimentional case.
Keyword (in Japanese) (See Japanese page) 
(in English) 3-dimensional connected-(r_1,r_2,r_3)-out-of-(n_1,n_2,n_3):F lattice system / Recursive Algorithm / / / / / /  
Reference Info. IEICE Tech. Rep., vol. 114, no. 170, R2014-20, pp. 37-42, Aug. 2014.
Paper # R2014-20 
Date of Issue 2014-07-25 (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 R2014-20

Conference Information
Committee R  
Conference Date 2014-08-01 - 2014-08-01 
Place (in Japanese) (See Japanese page) 
Place (in English) Smile Hotel Hakodate 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To R 
Conference Code 2014-08-R 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Evaluation of algorithm for the reliability of a 3-dimensional k-system 
Sub Title (in English)  
Keyword(1) 3-dimensional connected-(r_1,r_2,r_3)-out-of-(n_1,n_2,n_3):F lattice system  
Keyword(2) Recursive Algorithm  
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1st Author's Name Tomoaki Akiba  
1st Author's Affiliation Chiba Institute of Technology (CIT)
2nd Author's Name Natsumi Takahashi  
2nd Author's Affiliation Tokyo Metropolitan University (TMU)
3rd Author's Name Yoshiki Watanabe  
3rd Author's Affiliation Chiba Institute of Technology (CIT)
4th Author's Name Hisashi Yamamoto  
4th Author's Affiliation Tokyo Metropolitan University (TMU)
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Speaker Author-1 
Date Time 2014-08-01 16:20:00 
Presentation Time 25 minutes 
Registration for R 
Paper # R2014-20 
Volume (vol) vol.114 
Number (no) no.170 
Page pp.37-42 
#Pages 6 
Date of Issue 2014-07-25 (R) 

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