Density-feedback control in traffic and transport far from equilibrium

Abstract

A bottleneck situation in one-lane traffic-flow is typically modelled with a constant demand of entering cars. However, in practice this demand may depend on the density of cars in the bottleneck. The present paper studies a simple bimodal realization of this mechanism to which we 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, we find the optimal choice of the threshold. Analytical results are verified by computer simulations of the microscopic TASEP with DFC.

7 pages, 5 figures

References in corpus (5)

• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Far-from-equilibrium transport with constrained resources
• Feedback and Fluctuations in a Totally Asymmetric Simple Exclusion Process with Finite Resources
• Asymmetric simple exclusion process with periodic boundary driving
• Competition for finite resources

Cited by in corpus (7)

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• Totally asymmetric simple exclusion process with a time-dependent boundary: interaction between vehicles and pedestrians at intersections
• Velocity control for improving flow through a bottleneck
• Dependence of the transportation time on the sequence in which particles with different hopping probabilities enter a lattice
• Behaviour of traffic on a link with traffic light boundaries
• Optimization of transition behaviors in a two-lane system