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.

• Record URL:
  https://doi.org/10.1103/PhysRevE.87.062818
• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/15393755
• Authors:
  • Woelki, Marko
• Publication Date: 2013-6

Language

• English

Media Info

• Media Type: Digital/other
• Features: Figures; References; Tables;
• Pagination: 7p
• Serial:
  • Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
  • Volume: 87
  • Issue Number: 6
  • Publisher: American Physical Society
  • ISSN: 1539-3755
  • EISSN: 1550-2376
  • Serial URL: http://pre.aps.org/

Subject/Index Terms

• TRT Terms: Bottlenecks; Feedback control; Single lane traffic; Traffic density; Traffic flow theory; Traffic simulation
• Subject Areas: Highways; Planning and Forecasting; I71: Traffic Theory;

Filing Info

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