Refining time-space traffic diagrams: A simple multiple linear regression model

TL;DR

This paper introduces a simple multiple linear regression model to enhance the resolution of time-space traffic diagrams, enabling more detailed traffic analysis without complex methods.

Contribution

It presents a novel, straightforward regression-based approach to refine TS diagrams, improving their detail and accuracy across diverse datasets.

Findings

The model can increase TS diagram resolution by 4 to 16 times.

It demonstrates high accuracy and transferability across different locations and times.

The approach is simple yet effective for detailed traffic visualization.

Abstract

A time-space traffic (TS) diagram, which presents traffic states in time-space cells with color, is an important traffic analysis and visualization tool. Despite its importance for transportation research and engineering, most TS diagrams that have already existed or are being produced are too coarse to exhibit detailed traffic dynamics due to the limitations of existing information technology and traffic infrastructure investment. To increase the resolution of a TS diagram and enable it to present ample traffic details, this paper introduces the TS diagram refinement problem and proposes a multiple linear regression-based model to solve the problem. Two tests, which attempt to increase the resolution of a TS diagram 4 and 16 times, are carried out to evaluate the performance of the proposed model. Data collected at different times, in different locations and even in different countries are employed to thoroughly evaluate the accuracy and transferability of the proposed model. Strict tests with diverse data show that the proposed model, despite its simplicity, is able to refine a TS diagram with promising accuracy and reliable transferability. The proposed refinement model will "save" widely existing TS diagrams from their blurry "faces" and enable TS diagrams to show more traffic details.