The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Dans cet article, nous construireons une théorie mathématique basée sur le concept de mappages à valeurs définies, adaptés au fonctionnement disponible de systèmes de réseau extraordinairement compliqués et diversifiés à grande échelle. Les conditions fondamentales de disponibilité des comportements de ces systèmes de réseau sont clarifiées sous la forme d'un théorème du point fixe pour un système de mappages à valeurs définies.
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Kazuo HORIUCHI, "A Mathematical Theory for Available Operation of Network Systems Extraordinarily Complicated and Diversified on Large-Scales" in IEICE TRANSACTIONS on Fundamentals,
vol. E84-A, no. 9, pp. 2078-2083, September 2001, doi: .
Abstract: In this paper, we shall construct mathematical theory based on the concept of set-valued mappings, suitable for available operation of network systems extraordinarily complicated and diversified on large scales. Fundamental conditions for availability of system behaviors of such network systems are clarified in a form of fixed point theorem for system of set-valued mappings.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e84-a_9_2078/_p
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@ARTICLE{e84-a_9_2078,
author={Kazuo HORIUCHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Mathematical Theory for Available Operation of Network Systems Extraordinarily Complicated and Diversified on Large-Scales},
year={2001},
volume={E84-A},
number={9},
pages={2078-2083},
abstract={In this paper, we shall construct mathematical theory based on the concept of set-valued mappings, suitable for available operation of network systems extraordinarily complicated and diversified on large scales. Fundamental conditions for availability of system behaviors of such network systems are clarified in a form of fixed point theorem for system of set-valued mappings.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - A Mathematical Theory for Available Operation of Network Systems Extraordinarily Complicated and Diversified on Large-Scales
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2078
EP - 2083
AU - Kazuo HORIUCHI
PY - 2001
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E84-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2001
AB - In this paper, we shall construct mathematical theory based on the concept of set-valued mappings, suitable for available operation of network systems extraordinarily complicated and diversified on large scales. Fundamental conditions for availability of system behaviors of such network systems are clarified in a form of fixed point theorem for system of set-valued mappings.
ER -