Reliability of a 2-Dimensional Consecutive <I>k</I>-out-of-<I>n</I>:F System with a Restriction in the Number of Failed Components

Tetsushi YUGE; Masaharu DEHARE; Shigeru YANAGI

Reliability of a 2-Dimensional Consecutive k-out-of-n:F System with a Restriction in the Number of Failed Components

Tetsushi YUGE, Masaharu DEHARE, Shigeru YANAGI

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An exact and an approximated reliabilities of a 2-dimensional consecutive k-out-of-n:F system are discussed. Although analysis to obtain exact reliability requires many calculation resources for a system with a large number of components, the proposed method obtains the reliability lower bound by using a combinatorial equation that does not depend on the system size. The method has an assumption on the maximum number of failed components in an operable system. The reliability is exact when the total number of failed components is less than the assumed maximum number. The accuracy of the method is confirmed by numerical examples.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E86-A No.6 pp.1535-1540

Publication Date: 2003/06/01

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Type of Manuscript: PAPER

Category: Reliability, Maintainability and Safety Analysis

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Tetsushi YUGE, Masaharu DEHARE, Shigeru YANAGI, "Reliability of a 2-Dimensional Consecutive k-out-of-n:F System with a Restriction in the Number of Failed Components" in IEICE TRANSACTIONS on Fundamentals, vol. E86-A, no. 6, pp. 1535-1540, June 2003, doi: .
Abstract: An exact and an approximated reliabilities of a 2-dimensional consecutive k-out-of-n:F system are discussed. Although analysis to obtain exact reliability requires many calculation resources for a system with a large number of components, the proposed method obtains the reliability lower bound by using a combinatorial equation that does not depend on the system size. The method has an assumption on the maximum number of failed components in an operable system. The reliability is exact when the total number of failed components is less than the assumed maximum number. The accuracy of the method is confirmed by numerical examples.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/e86-a_6_1535/_p

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@ARTICLE{e86-a_6_1535,
author={Tetsushi YUGE, Masaharu DEHARE, Shigeru YANAGI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Reliability of a 2-Dimensional Consecutive k-out-of-n:F System with a Restriction in the Number of Failed Components},
year={2003},
volume={E86-A},
number={6},
pages={1535-1540},
abstract={An exact and an approximated reliabilities of a 2-dimensional consecutive k-out-of-n:F system are discussed. Although analysis to obtain exact reliability requires many calculation resources for a system with a large number of components, the proposed method obtains the reliability lower bound by using a combinatorial equation that does not depend on the system size. The method has an assumption on the maximum number of failed components in an operable system. The reliability is exact when the total number of failed components is less than the assumed maximum number. The accuracy of the method is confirmed by numerical examples.},
keywords={},
doi={},
ISSN={},
month={June},}

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TY - JOUR
TI - Reliability of a 2-Dimensional Consecutive k-out-of-n:F System with a Restriction in the Number of Failed Components
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1535
EP - 1540
AU - Tetsushi YUGE
AU - Masaharu DEHARE
AU - Shigeru YANAGI
PY - 2003
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E86-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2003
AB - An exact and an approximated reliabilities of a 2-dimensional consecutive k-out-of-n:F system are discussed. Although analysis to obtain exact reliability requires many calculation resources for a system with a large number of components, the proposed method obtains the reliability lower bound by using a combinatorial equation that does not depend on the system size. The method has an assumption on the maximum number of failed components in an operable system. The reliability is exact when the total number of failed components is less than the assumed maximum number. The accuracy of the method is confirmed by numerical examples.
ER -