系统多维可扩展理论的研究

Research on Multidimensional Scalability of System

为了研究互联网系统的评价指标随系统参数变化而改变的特性,本文分析系统多维可扩展性的4个基本要素,提出一种评价数学模型.该模型给出了可扩展性的数学定义、几何意义及计算方法.本文还利用该模型比较了两种域名解析系统规模可扩展性好坏并由此得出了系统部署的指导原则,实验模拟结果与理论计算结果一致.实验说明本文提出的理论模型能够分析互联网系统可扩展性的客观规律,对于系统选择和部署有现实的指导意义.

In order to study the characteristic of variation for a system＇s evaluation metrics as the system parameters change, this paper analyzes the four basic elements of multi-dimensional scalability of a system and proposes a mathematical model. This model gives the definition, the geometrical meaning and calculation method. The paper also compares two kinds of domain name systems, using this mathematical model and gives a guid rule for deploying them. The simulation result is also given and it is consistent with the theoretical result. The experiment shows the proposed theoretical model can help to analyze the rule of multi-dimensional sacalability and has good sense in choice and deployment of a network system.