danielwohlr / vehicular-headway-modelling

Asymptotic properties of (traffic) particle systems. Analysis of vehicular headways. Finished 2020

Vehicular Headway Modelling Research (Bachelor's thesis)

This thesis deals with particle systems with a balancing property which have practical use in modeling vehicle headways. The full paper is available here: Full paper (2nd place at scientific conference in 2020).

• First, we summarized basic properties of balanced density functions and associated particle systems.
• We presented a unification procedure that is used for analysing traffic data and by applying this procedure to real data (recorded at a Dutch freeway) we verified, using methods of regression analysis, the balancing property of time clearances.
• Further, we rigorously defined statistical rigidity and via the central limit theorem we derived the dependency of statistical compressibility on parametres belonging tu Erlang’s density function.
• At last, we showed by graphs that the behaviour of statistical rigidity in well-known balanced particle systems is in accordance with previous derivations.

Theory of Balanced Particle Systems

Fundamental diagram and 3-s Unification procedure for traffic data analysis

Real traffic data analysis