Quantitative Analysis of Interaction Range in Vehicular Flows

Applying mathematical theory of functional convolutions, the authors quantitatively detect a range of interaction forces inside ensembles of moving vehicles. With help of a certain specifically-calibrated function describing deflections between empirical multi-clearance distributions and distributions derived for Poissonian systems of uncorrelated agents the authors estimate the number of neighboring vehicles whose movements are significantly influenced (in a statistical sense). Furthermore, the authors demonstrate how the estimated interaction-range varies with traffic flux or traffic density. The obtained results convincingly confirms that vehicular dynamics is definitely not of short-ranged nature but, in contrast, that mutual inter-vehicular interactions exist among more succeeding cars.

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  • English

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  • Accession Number: 01642101
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Jun 13 2017 3:02PM