Mathematical Description of the Universal IDM - some Comments and Application

Abstract

The aim of the study is to define and mathematically describe the universal IDM. An important result of this research is that the model uses a single system of differential equations. It is able to simultaneously describe the dynamic operations of the IDM systems for all different vehicle sequences. The aim of the study is to support the driving of autonomous vehicles by taking into account the dynamic variations in the state characteristics of traffic processes. The approach used is motivated by important issues in current modelling techniques that address significant economic problems in the application of large-scale ITS network models. This also points to a new opportunity in the key area of vehicle traffic management, in the related targeted fundamental research, particularly in the analysis of traffic processes in large-scale dynamic networks.