Some Properties of Multi-State Monotone Systems and Their Boolean Structure Functions
Summary :
The reliability analysis of multi-state systems is needed for treating multi-modal failures, failure interdependency and degraded states. This paper defines some types of multi-state monotone systems from the positive relation between two states of components and presents their properties with emphasis on properties of Boolean structure functions with restricted 0-1 variables. Positive-directionally (or negative-directionally) monotone system is defined as the concept of monotone system wider than the former one, and its deterministic and probabilistic properties useful for the reliability analysis are given. Extended definitions of series, parallel and series-parallel systems are also given.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E66-E No.9 pp.535-542
- Publication Date
- 1983/09/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- System Reliability
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Kyoichi NAKASHIMA, Kazuharu YAMATO, "Some Properties of Multi-State Monotone Systems and Their Boolean Structure Functions" in IEICE TRANSACTIONS on transactions,
vol. E66-E, no. 9, pp. 535-542, September 1983, doi: .
Abstract: The reliability analysis of multi-state systems is needed for treating multi-modal failures, failure interdependency and degraded states. This paper defines some types of multi-state monotone systems from the positive relation between two states of components and presents their properties with emphasis on properties of Boolean structure functions with restricted 0-1 variables. Positive-directionally (or negative-directionally) monotone system is defined as the concept of monotone system wider than the former one, and its deterministic and probabilistic properties useful for the reliability analysis are given. Extended definitions of series, parallel and series-parallel systems are also given.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e66-e_9_535/_p
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@ARTICLE{e66-e_9_535,
author={Kyoichi NAKASHIMA, Kazuharu YAMATO, },
journal={IEICE TRANSACTIONS on transactions},
title={Some Properties of Multi-State Monotone Systems and Their Boolean Structure Functions},
year={1983},
volume={E66-E},
number={9},
pages={535-542},
abstract={The reliability analysis of multi-state systems is needed for treating multi-modal failures, failure interdependency and degraded states. This paper defines some types of multi-state monotone systems from the positive relation between two states of components and presents their properties with emphasis on properties of Boolean structure functions with restricted 0-1 variables. Positive-directionally (or negative-directionally) monotone system is defined as the concept of monotone system wider than the former one, and its deterministic and probabilistic properties useful for the reliability analysis are given. Extended definitions of series, parallel and series-parallel systems are also given.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - Some Properties of Multi-State Monotone Systems and Their Boolean Structure Functions
T2 - IEICE TRANSACTIONS on transactions
SP - 535
EP - 542
AU - Kyoichi NAKASHIMA
AU - Kazuharu YAMATO
PY - 1983
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E66-E
IS - 9
JA - IEICE TRANSACTIONS on transactions
Y1 - September 1983
AB - The reliability analysis of multi-state systems is needed for treating multi-modal failures, failure interdependency and degraded states. This paper defines some types of multi-state monotone systems from the positive relation between two states of components and presents their properties with emphasis on properties of Boolean structure functions with restricted 0-1 variables. Positive-directionally (or negative-directionally) monotone system is defined as the concept of monotone system wider than the former one, and its deterministic and probabilistic properties useful for the reliability analysis are given. Extended definitions of series, parallel and series-parallel systems are also given.
ER -
English
