Citation

Krbálek M. Transp. Res. Proc. 2017; 25: 1268-1275.

Copyright

(Copyright © 2017, Elsevier Publications)

DOI

10.1016/j.trpro.2017.05.146

PMID

unavailable

Abstract

Applying mathematical theory of functional convolutions we 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 we estimate the number of neighboring ve- hicles whose movements are significantly influenced (in a statistical sense). Furthermore, we 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.

Language: en