https://github.com/danielwohlr/gap-acceptance-research

Research paper: Statistical modelling of traffic flow at unsignalized T intersection. Finished 2021
https://github.com/danielwohlr/gap-acceptance-research

gap-acceptance pearson-chi-test r siegloch-function traffic-analysis

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Research paper: Statistical modelling of traffic flow at unsignalized T intersection. Finished 2021

Host: GitHub
URL: https://github.com/danielwohlr/gap-acceptance-research
Owner: Danielwohlr
Created: 2024-01-14T18:01:30.000Z (over 1 year ago)
Default Branch: main
Last Pushed: 2024-01-14T20:12:58.000Z (over 1 year ago)
Last Synced: 2025-02-27T15:08:56.262Z (8 months ago)
Topics: gap-acceptance, pearson-chi-test, r, siegloch-function, traffic-analysis
Language: R
Homepage:
Size: 11.8 MB
Stars: 0
Watchers: 1
Forks: 0
Open Issues: 0
Metadata Files:
- Readme: README.md

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README

# Gap Acceptance Research

This paper deals with statistical modelling of critical clearances which are the main subject
of the __Gap Acceptance theory__. The full report is available here: [Full report](report.pdf).

- First, we used appropriate terminology to define a mathematical model
of an unsignalized T intersection. Using this model we presented the problem of the partial distribution
of clearances of order $k \in \mathbb{N}_0$.

- Assuming gamma distribution of clearances and critical clearances we
derived a solution to this problem. We later validated this solution by using numerical computations. Further, with the premise of gamma distributed critical clearances, we analytically derived the Siegloch
function.

- At last, we verified that the empirical partial distribution of clearances of order $k \in \{0, 1, 2, 3\}$
(recorded at three German T intersections) belongs to the family of previously derived partial distribution
of clearances. This hypothesis was evaluated by using Pearson’s $\chi$-squared goodness of fit test.

## Mathematical model of unsignalized T-intersection