Techniques of analytical analysis of processes in communication networks using Legendre transform and "Max-plus" algebra equations

Abstract

The problem of construction of analytical models for estimation of dynamics in communication networks is considered in this article. This task doesn't depend on specific features of applied distribution of flow and properties of traffic. To solve this specific task the "Max-plus" algebra state equation and the Legendre equation are used. The practical efficiency of this approach has been proven by examples. The suggested method could also be used for different models of information flows of the source.