https://github.com/danielwohlr/vehicular-headway-modelling

Asymptotic properties of (traffic) particle systems. Analysis of vehicular headways. Finished 2020
https://github.com/danielwohlr/vehicular-headway-modelling

central-limit-theorem counting-process linear-regression particle-systems vehicular-networks

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

Host: GitHub
URL: https://github.com/danielwohlr/vehicular-headway-modelling
Owner: Danielwohlr
Created: 2024-01-14T18:03:52.000Z (over 1 year ago)
Default Branch: main
Last Pushed: 2024-03-09T12:34:27.000Z (about 1 year ago)
Last Synced: 2024-03-09T13:53:20.956Z (about 1 year ago)
Topics: central-limit-theorem, counting-process, linear-regression, particle-systems, vehicular-networks
Language: MATLAB
Homepage:
Size: 12.9 MB
Stars: 0
Watchers: 1
Forks: 0
Open Issues: 0
Metadata Files:
- Readme: README.md

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README

# 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](thesis.pdf) (2nd place at [scientific conference in 2020](https://mat.fsv.cvut.cz/rektorys/soutez/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