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Research Article

Investigating the relationship between freeway rear-end crash rates and macroscopically modeled reaction time

ORCID Icon, , &
Pages 1001-1024 | Received 23 Apr 2020, Accepted 02 Apr 2021, Published online: 25 Apr 2021
 

Abstract

This study tests the hypothesis that an analytically estimated driver reaction time required for asymptotic stability, based on the macroscopic Gazis-Herman-Rothery (GHR) model, serves as an indicator of the impact of traffic oscillations on rear-end crashes. If separate GHR models are fit discontinuously for different traffic regimes, the local drop in required reaction time between these regimes can also be estimated. This study evaluates the relationship between rear-end crash rates and that drop in required reaction time. Traffic data from 28 sensors were used to fit the GHR model. Rear-end crash rates, estimated from four years of crash data, exhibited a positive correlation with the drop in required reaction time at the congested regime’s density-breakpoint. A linear relationship provided the best fit. These results motivate follow-on research to incorporate macroscopically derived reaction time in road-safety planning. More generally, the study demonstrates a useful application of a discontinuous macroscopic traffic model.

Acknowledgements

The authors would like to thank the National Transportation Center at Maryland for their financial support in this research.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Author contributions

The authors confirm contribution to the paper as follows: study conception and design: B. Williams, I. Ahmed; data collection: I. Ahmed, S. Samandar, G. Chun; analysis and interpretation of results: I. Ahmed, B. Williams., S. Samandar; draft manuscript preparation: I. Ahmed, B. Williams, S. Samandar, G. Chun. All authors reviewed the results and approved the final version of the manuscript.

Additional information

Funding

This work was supported by National Transportation Center [grant number NTC2015-MU-R-07].

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