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Physical models of traffic safety at crossing streams

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  • Leich, Andreas
  • Nippold, Ronald
  • Schadschneider, Andreas
  • Wagner, Peter

Abstract

Traffic safety at intersecting streams is studied quantitatively using methods from Statistical Mechanics on the basis of simple microscopic traffic flow models. In order to determine a relationship between traffic flow and the number of crashes, the modeling focus is on the building block of any road network, namely the crossing of two streams. In this paper, it is shown that the number of crossing conflicts is proportional to the product of the two traffic flows from which a simple model is developed. This model substantiates known empirical findings. Since real crash data are obtained by an involved process from such building blocks, there is a difference between the theoretical and empirical results. This process is modeled here as well and narrows the mismatch between theory and observation.

Suggested Citation

  • Leich, Andreas & Nippold, Ronald & Schadschneider, Andreas & Wagner, Peter, 2024. "Physical models of traffic safety at crossing streams," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 640(C).
    • Handle: RePEc:eee:phsmap:v:640:y:2024:i:c:s037843712400178x
    DOI: 10.1016/j.physa.2024.129669
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    References listed on IDEAS

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    5. Lord, Dominique & Mannering, Fred, 2010. "The statistical analysis of crash-frequency data: A review and assessment of methodological alternatives," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(5), pages 291-305, June.
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