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Paper Abstract and Keywords
Presentation 2019-07-26 14:00
Limit theorem of a connected-(r,s)-out-of-(m,n):F lattice system
Koki Yamada, Taishin Nakamura, Hisashi Yamamoto, Lei Zhou, Xiao Xiao (Tokyo Met. Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) In previous studies, several methods for computing the reliability of a connected-(r,s)-out-of-(m,n):F lattice system have been proposed. However, it becomes difficult to compute the reliability of the large system because of the huge computation time. In this paper, we propose limit theorems for the reliability of the cylinder and toroidal system. Using the proposed theorems, we can obtain the approximate value of the reliability for the large systems by a simple calculation. Also, numerical experiments are conducted to confirm that the approximate value using the limit theorems is close to the corresponding exact value.
Keyword (in Japanese) (See Japanese page) 
(in English) System Reliability / Connected-(r,s)-out-of-(m,n):F lattice system / Limit Theorem / Approximate value / Upper and Lower Bound / / /  
Reference Info. IEICE Tech. Rep., vol. 119, no. 150, R2019-14, pp. 1-6, July 2019.
Paper # R2019-14 
Date of Issue 2019-07-19 (R) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380

Conference Information
Committee R  
Conference Date 2019-07-26 - 2019-07-26 
Place (in Japanese) (See Japanese page) 
Place (in English) Ichinoseki Cultural Center 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Reliability Theory, Communication Network Reliability, Reliability General 
Paper Information
Registration To R 
Conference Code 2019-07-R 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Limit theorem of a connected-(r,s)-out-of-(m,n):F lattice system 
Sub Title (in English)  
Keyword(1) System Reliability  
Keyword(2) Connected-(r,s)-out-of-(m,n):F lattice system  
Keyword(3) Limit Theorem  
Keyword(4) Approximate value  
Keyword(5) Upper and Lower Bound  
1st Author's Name Koki Yamada  
1st Author's Affiliation Tokyo Metropolitan University (Tokyo Met. Univ.)
2nd Author's Name Taishin Nakamura  
2nd Author's Affiliation Tokyo Metropolitan University (Tokyo Met. Univ.)
3rd Author's Name Hisashi Yamamoto  
3rd Author's Affiliation Tokyo Metropolitan University (Tokyo Met. Univ.)
4th Author's Name Lei Zhou  
4th Author's Affiliation Tokyo Metropolitan University (Tokyo Met. Univ.)
5th Author's Name Xiao Xiao  
5th Author's Affiliation Tokyo Metropolitan University (Tokyo Met. Univ.)
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Date Time 2019-07-26 14:00:00 
Presentation Time 25 
Registration for R 
Paper # IEICE-R2019-14 
Volume (vol) IEICE-119 
Number (no) no.150 
Page pp.1-6 
#Pages IEICE-6 
Date of Issue IEICE-R-2019-07-19 

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