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Variational principles in the analysis of traffic flows. (Why it is worth to go against the flow.)

Michael Blank
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Abstract

By means of a novel variational approach and using dual maps techniques and general ideas of dynamical system theory we derive exact results about several models of transport flows, for which we also obtain a complete description of their limit (in time) behavior in the space of configurations. Using these results we study the motion of a speedy passive particle (tracer) moving along/against the flow of slow particles and demonstrate that the latter case might be more efficient.

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Michael Blank. 2000-03-22. Variational principles in the analysis of traffic flows. (Why it is worth to go against the flow.). https://arxiv.org/abs/nlin/0003046

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