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.
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Copy
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
Copy
@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},}
Copy
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 -