IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Regular Section
Reliability of a Circular Connected-(1,2)-or-(2,1)-out-of-(m,n):F Lattice System with Identical Components
Taishin NAKAMURAHisashi YAMAMOTOTakashi SHINZATOXiao XIAOTomoaki AKIBA
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2017 Volume E100.A Issue 4 Pages 1029-1036

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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.

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© 2017 The Institute of Electronics, Information and Communication Engineers
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