Reliability of a Circular Connected-(1,2)-or-(2,1)-out-of-(<I>m</I>,<I>n</I>):F Lattice System with Identical Components

Taishin NAKAMURA; Hisashi YAMAMOTO; Takashi SHINZATO; Xiao XIAO; Tomoaki AKIBA

doi:10.1587/transfun.E100.A.1029

Reliability of a Circular Connected-(1,2)-or-(2,1)-out-of-(m,n):F Lattice System with Identical Components

Taishin NAKAMURA, Hisashi YAMAMOTO, Takashi SHINZATO, Xiao XIAO, Tomoaki AKIBA

Full Text Views

0

Share
Cite this

Summary :

Using a matrix approach based on a Markov process, we investigate the reliability of a circular connected-(1,2)-or-(2,1)-out-of-(m,n):F lattice system for the i.i.d. case. We develop a modified linear lattice system that is equivalent to this circular system, and propose a methodology that allows the systematic calculation of the reliability. It is based on ideas presented by Fu and Hu [6]. A partial transition probability matrix is used to reduce the computational complexity of the calculations, and closed formulas are derived for special cases.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E100-A No.4 pp.1029-1036

Publication Date: 2017/04/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E100.A.1029

Type of Manuscript: PAPER

Category: Reliability, Maintainability and Safety Analysis

Authors

Taishin NAKAMURA
  Tokyo Metropolitan University
Hisashi YAMAMOTO
  Tokyo Metropolitan University
Takashi SHINZATO
  Hitotsubashi University
Xiao XIAO
  Tokyo Metropolitan University
Tomoaki AKIBA
  Chiba Institute of Technology

Keyword

circular connected-(1,2)-or-(2,1)-out-of-(m,n):F lattice system, matrix approach, Markov process, closed formula

Cite this

Copy

Taishin NAKAMURA, Hisashi YAMAMOTO, Takashi SHINZATO, Xiao XIAO, Tomoaki AKIBA, "Reliability of a Circular Connected-(1,2)-or-(2,1)-out-of-(m,n):F Lattice System with Identical Components" in IEICE TRANSACTIONS on Fundamentals, vol. E100-A, no. 4, pp. 1029-1036, April 2017, doi: 10.1587/transfun.E100.A.1029.
Abstract: Using a matrix approach based on a Markov process, we investigate the reliability of a circular connected-(1,2)-or-(2,1)-out-of-(m,n):F lattice system for the i.i.d. case. We develop a modified linear lattice system that is equivalent to this circular system, and propose a methodology that allows the systematic calculation of the reliability. It is based on ideas presented by Fu and Hu [6]. A partial transition probability matrix is used to reduce the computational complexity of the calculations, and closed formulas are derived for special cases.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E100.A.1029/_p

Copy

@ARTICLE{e100-a_4_1029,
author={Taishin NAKAMURA, Hisashi YAMAMOTO, Takashi SHINZATO, Xiao XIAO, Tomoaki AKIBA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Reliability of a Circular Connected-(1,2)-or-(2,1)-out-of-(m,n):F Lattice System with Identical Components},
year={2017},
volume={E100-A},
number={4},
pages={1029-1036},
abstract={Using a matrix approach based on a Markov process, we investigate the reliability of a circular connected-(1,2)-or-(2,1)-out-of-(m,n):F lattice system for the i.i.d. case. We develop a modified linear lattice system that is equivalent to this circular system, and propose a methodology that allows the systematic calculation of the reliability. It is based on ideas presented by Fu and Hu [6]. A partial transition probability matrix is used to reduce the computational complexity of the calculations, and closed formulas are derived for special cases.},
keywords={},
doi={10.1587/transfun.E100.A.1029},
ISSN={1745-1337},
month={April},}

Copy

TY - JOUR
TI - Reliability of a Circular Connected-(1,2)-or-(2,1)-out-of-(m,n):F Lattice System with Identical Components
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1029
EP - 1036
AU - Taishin NAKAMURA
AU - Hisashi YAMAMOTO
AU - Takashi SHINZATO
AU - Xiao XIAO
AU - Tomoaki AKIBA
PY - 2017
DO - 10.1587/transfun.E100.A.1029
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E100-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 2017
AB - Using a matrix approach based on a Markov process, we investigate the reliability of a circular connected-(1,2)-or-(2,1)-out-of-(m,n):F lattice system for the i.i.d. case. We develop a modified linear lattice system that is equivalent to this circular system, and propose a methodology that allows the systematic calculation of the reliability. It is based on ideas presented by Fu and Hu [6]. A partial transition probability matrix is used to reduce the computational complexity of the calculations, and closed formulas are derived for special cases.
ER -