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Phase transitions and spectrum evaluation in mixed traffic model concerned with Interruption Probability Effect under CAVs and HDVs surroundings

Author

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  • Zhou, Tong
  • Tian, Yudan
  • Zhu, Meilan
  • Peng, Guanghan

Abstract

In the context of connected autonomous vehicles (CAVs) navigating real-world roadways within mixed traffic environments, network communication security is paramount. However, network communication disruptions interruptions often occur. To address this, we have incorporated the Interruption Probability Effect (IPE) into a novel Heterogeneous Lattice Hydrodynamic Model (LHM) designed for mixed fleets comprising both CAVs and human-driven vehicles (HDVs). The stability requirement, influenced by the IPE, is inferred through linear stability analysis in heterogeneous vehicle scenarios. Additionally, nonlinear analysis reveals a significant relationship between the equations governing heterogeneous vehicles and the IPE. Our simulations demonstrate that the increase of the IPE, alongside the permeability of CAVs and the sensitivity of flux information, results in a reduction of density and limit loops. This indicates that the IPE can enhance traffic characteristics similarly to the permeability of CAVs and the sensitivity of flux information. Furthermore, our spectral analysis, focusing on power spectrum and spectral entropy, confirms that the stability of heterogeneous vehicles is bolstered by the IPE, the permeability of CAVs, and the sensitivity of flux information.

Suggested Citation

  • Zhou, Tong & Tian, Yudan & Zhu, Meilan & Peng, Guanghan, 2025. "Phase transitions and spectrum evaluation in mixed traffic model concerned with Interruption Probability Effect under CAVs and HDVs surroundings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 672(C).
    • Handle: RePEc:eee:phsmap:v:672:y:2025:i:c:s0378437125003553
    DOI: 10.1016/j.physa.2025.130703
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