A Basic Theory for Available Operation of Extremely Complicated Large-Scale Network Systems
A Basic Theory for Available Operation of Extremely Complicated Large-Scale Network Systems
复制标题
极其复杂的大规模网络系统可用运行的基本理论
DOI：
10.1093/ietfec/e90-a.10.2232
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
K. Horiuchi
中科院分区：
文献类型：
--
作者：
K. Horiuchi
本文将描述一个基于集值算子概念的基本理论，它适用于极其复杂的大规模网络系统的有效运算。以集值算子系统不动点定理的形式阐明了这类网络系统行为有效的基本条件。在这里，这个定理的证明是由豪斯多夫球非紧性测度的概念来完成的。
In this paper, we shall describe about a basic theory based on the concept of set-valued operators, suitable for available operation of extremely complicated large-scale network systems. 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 operators. Here, the proof of this theorem is accomplished by the concept of Hausdorff's ball measure of non-compactness.