Stochastic control  of traffic patterns

Yuri B. Gaididei; Carlos Gorria; Rainer Berkemer; Peter L. Christiansen; Atsushi Kawamoto; Mads P. Sørensen; Jens Starke

doi:10.3934/nhm.2013.8.261

Article Contents

2013, Volume 8, Issue 1: 261-273. Doi: 10.3934/nhm.2013.8.261

This issue Previous Article A spatialized model of visual texture perception using the structure tensor formalism Next Article A short proof of the logarithmic Bramson correction in Fisher-KPP equations

Stochastic control of traffic patterns

1.
Bogolyubov Institute for Theoretical Physics, Metrologichna str. 14 B, 01413, Kiev
2.
Department of Applied Mathematics and Statistics, University of the Basque Country, E-48080 Bilbao
3.
AKAD University of Applied Sciences, D-70469 Stuttgart
4.
Department of Mathematics and Computer Science & Department of Physics, Technical University of Denmark, DK-2800 Kongens Lyngby
5.
Toyota Central R&D Labs, Nagakute, Aichi
6.
Department of Mathematics and Computer Science, Technical University of Denmark, DK-2800 Kongens Lyngby

Received: December 31, 2011

Revised: January 31, 2013

Published: February 2013

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Abstract

A stochastic modulation of the safety distance can reduce traffic jams. It is found that the effect of random modulation on congestive flow formation depends on the spatial correlation of the noise. Jam creation is suppressed for highly correlated noise. The results demonstrate the advantage of heterogeneous performance of the drivers in time as well as individually. This opens the possibility for the construction of technical tools to control traffic jam formation.

Keywords:

Mathematics Subject Classification: Primary: 60H10, 34F05, 90B20; Secondary: 35Q84, 35B36, 34E05, 42A10.

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