On the Impact of the Capacity Drop Phenomenon for Freeway Traffic Flow Control

@article{Cao2021OnTI,
  title={On the Impact of the Capacity Drop Phenomenon for Freeway Traffic Flow Control},
  author={Michael E. Cao and Gustav Nilsson and Samuel D. Coogan},
  journal={2021 IEEE Conference on Control Technology and Applications (CCTA)},
  year={2021},
  pages={1037-1042}
}
Capacity drop is an empirically observed phenomenon in vehicular traffic flow on freeways whereby, after a critical density is reached, a state of congestion sets in, but the freeway does not become decongested again until the density drops well below the critical density. This introduces a hysteresis effect so that it is easier to enter the congested state than to leave it. However, many existing first-order models of traffic flow, particularly those used for control design, ignore capacity… 

Figures and Tables from this paper

References

SHOWING 1-10 OF 19 REFERENCES
Convexity and robustness of dynamic traffic assignment and freeway network control
Ramp Metering and Freeway Bottleneck Capacity
On distributed computation of optimal control of traffic flow over networks
  • Qin BaK. Savla
  • Mathematics, Computer Science
    2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton)
  • 2016
TLDR
The necessary condition, as given by the maximum principle, is examined to provide sufficient conditions under which the optimal control is unique for non-strict convex cost functions, and of bang-bang type, for a linear network.
On Distributed Optimal Control of Traffic Flows in Transportation Networks
TLDR
This work model traffic flow dynamics by the cell-transmission model and focuses on system-optimum dynamic traffic assignment and freeway network control, focusing on some recently proposed provably exact convex relaxations.
On kinematic waves II. A theory of traffic flow on long crowded roads
  • M. LighthillG. Whitham
  • Engineering
    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
  • 1955
TLDR
The theory of kinematic waves is applied to the problem of estimating how a ‘hump’, or region of increased concentration, will move along a crowded main road, and is applicable principally to traffic behaviour over a long stretch of road.
...
...