Density-feedback control in traffic and transport far from equilibrium

Typically, one-lane traffic flow with a bottleneck situation is modelled with a constant demand of entering cars, but in practice this demand may depend on the density of cars in the bottleneck. This paper studies a simple bimodal realization of this mechanism which the authors refer to as density-feedback control (DFC): If the actual density in the bottleneck is above a certain threshold, the reservoir density of possibly entering cars is reduced to a different constant value. By numerical solution of the discretized viscid Burgers equation a rich stationary phase diagram is found. In order to maximize the flow, which is the goal of typical traffic-management strategies, the authors find the optimal choice of the threshold. Analytical results are verified by computer simulations of the microscopic totally asymmetric exclusion process with DFC.


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  • Accession Number: 01493387
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Sep 12 2013 1:41PM