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Congestions and spectral transitions in time-lagged correlations of motorway traffic

Author

Listed:
  • Hollbeck, Gabor B.
  • Pilarczyk, René
  • Wang, Shanshan
  • Schreckenberg, Michael
  • Guhr, Thomas

Abstract

The understanding of congestions contributes to the development of effective traffic management strategies. The propagation of congestions from a motorway section to the neighboring ones results in correlations. Here, we study symmetrized time-lagged correlation matrices and show how their spectral properties reveal congestion durations. We first carry out an empirical analysis of velocities for two local motorway networks, then set up a numerical simulation for indicator time series of traffic phases, and further propose a simplified, analytical model capturing various scenarios of congestion durations. Our empirical analysis reveals a transition behavior for the dominant eigenvalue as function of time lags, reflecting changes in traffic dynamics. Furthermore, both the numerical simulations and the analytical model disclose a nonlinear relation between the spectral transition and the congestion duration.

Suggested Citation

  • Hollbeck, Gabor B. & Pilarczyk, René & Wang, Shanshan & Schreckenberg, Michael & Guhr, Thomas, 2024. "Congestions and spectral transitions in time-lagged correlations of motorway traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 649(C).
    • Handle: RePEc:eee:phsmap:v:649:y:2024:i:c:s0378437124004618
    DOI: 10.1016/j.physa.2024.129952
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