Mathematical Description of the Universal IDM - some Comments and Application
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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.