Abstract: This paper analyzes Internet properties gives general definition of Internet space validity and time validity, and defines two property parameters——network density and Internet traveling diameter formally based on quantitative analysis. After proving mathematical relationships between the two parameters, a definition of Internet validity factor is put forward. It gives a combined judge of Internet validity by connecting formula of Internet space validity and time validity. A mathematical model of validity factor based on time-evolvement analysis is given, which makes it possible to forecast and estimate the development of Internet in the future.

Key words: Internet validity, networks density, Internet traveling diameter, validity factor, time-evolving analysis

摘要： 形式化定义、量化分析了Internet网络的特征量，给出Internet网络空间和时间效能的一般性定义，定义两种效能的特征参量——网络密度和Internet网络访问直径，量化分析近5 000万条来自CAIDA的Internet测量数据样本，证明网络密度和访问直径之间的数学关系，形式化定义Internet网络效能因子，并将Internet网络的时间和空间效能联系起来，实现对网络效能的综合评判。网络效能因子基于时间维演化的数学模型有助于预测和评价Internet的发展状况。

关键词: Internet网络效能, 网络密度, 网络访问直径, 效能因子, 时间维演化分析

CLC Number: 

• TP393