Short-Term and Long-Term Computing Models of Internet Diameter

Abstract

Internet Diameter is an Internet property defined in this paper being of great significance in measuring Internet performance. Approaches in short-term and long-term computing of Internet Diameter were mainly discussed. In short-term part, the computing approach was based on a composite mathematical model made up of a fundamental framework - logistic model, together with additional adjustment models. Parameters in the composite model were finally confirmed through rounds of calculation by Genetic Algorithm. Approach in long-term computing is somewhat more complicated compared with the short-term one. It has a preliminary requirement that the variation of Internet Diameter should have primary features of dynamic Chaos system. Then, a property of Internet Diameter in Chaos point of view, e.g., correlation dimension, was calculated. And it helped construct a system of 3-dimension equations providing practical approaches for the computation of the long-term Internet Diameter.