Modules for Two Classes of Multi-State Systems

Shuichi SHINMORI; Fumio OHI; Hiroyuki HAGIHARA; Toshio NISHIDA

Modules for Two Classes of Multi-State Systems

Shuichi SHINMORI, Fumio OHI, Hiroyuki HAGIHARA, Toshio NISHIDA

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In this paper two classes of multi-state systems are proposed and the concept of modules of those systems is clarified from mathematical aspects. The purpose of this paper is to investigate some properties of modules on basis of the minimal elements which determine the structure of systems. Furthermore, we discuss a criterion, what we call test for modularity", for deciding whether or not a subset of components is a module, and develop three modules theorem" which is well-known in the theory of binary-state coherent systems.

Publication: IEICE TRANSACTIONS on transactions Vol.E72-E No.5 pp.600-608

Publication Date: 1989/05/25

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Type of Manuscript: PAPER

Category: Reliability and Mentenability

Authors

Shuichi SHINMORI
Fumio OHI
Hiroyuki HAGIHARA
Toshio NISHIDA

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Shuichi SHINMORI, Fumio OHI, Hiroyuki HAGIHARA, Toshio NISHIDA, "Modules for Two Classes of Multi-State Systems" in IEICE TRANSACTIONS on transactions, vol. E72-E, no. 5, pp. 600-608, May 1989, doi: .
Abstract: In this paper two classes of multi-state systems are proposed and the concept of modules of those systems is clarified from mathematical aspects. The purpose of this paper is to investigate some properties of modules on basis of the minimal elements which determine the structure of systems. Furthermore, we discuss a criterion, what we call test for modularity", for deciding whether or not a subset of components is a module, and develop three modules theorem" which is well-known in the theory of binary-state coherent systems.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e72-e_5_600/_p

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@ARTICLE{e72-e_5_600,
author={Shuichi SHINMORI, Fumio OHI, Hiroyuki HAGIHARA, Toshio NISHIDA, },
journal={IEICE TRANSACTIONS on transactions},
title={Modules for Two Classes of Multi-State Systems},
year={1989},
volume={E72-E},
number={5},
pages={600-608},
abstract={In this paper two classes of multi-state systems are proposed and the concept of modules of those systems is clarified from mathematical aspects. The purpose of this paper is to investigate some properties of modules on basis of the minimal elements which determine the structure of systems. Furthermore, we discuss a criterion, what we call test for modularity", for deciding whether or not a subset of components is a module, and develop three modules theorem" which is well-known in the theory of binary-state coherent systems.},
keywords={},
doi={},
ISSN={},
month={May},}

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TY - JOUR
TI - Modules for Two Classes of Multi-State Systems
T2 - IEICE TRANSACTIONS on transactions
SP - 600
EP - 608
AU - Shuichi SHINMORI
AU - Fumio OHI
AU - Hiroyuki HAGIHARA
AU - Toshio NISHIDA
PY - 1989
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E72-E
IS - 5
JA - IEICE TRANSACTIONS on transactions
Y1 - May 1989
AB - In this paper two classes of multi-state systems are proposed and the concept of modules of those systems is clarified from mathematical aspects. The purpose of this paper is to investigate some properties of modules on basis of the minimal elements which determine the structure of systems. Furthermore, we discuss a criterion, what we call test for modularity", for deciding whether or not a subset of components is a module, and develop three modules theorem" which is well-known in the theory of binary-state coherent systems.
ER -