Optimal coordination of variable speed limits to suppress shock waves

A. Hegyi, B. De Schutter, and J. Hellendoorn, "Optimal coordination of variable speed limits to suppress shock waves," IEEE Transactions on Intelligent Transportation Systems, vol. 6, no. 1, pp. 102-112, Mar. 2005.

When freeway traffic is dense, shock waves may appear. These shock waves result in longer travel times and in sudden, large variations in the speeds of the vehicles, which could lead to unsafe situations. Dynamic speed limits can be used to eliminate or at least to reduce the effects of shock waves. However, coordination of the variable speed limits is necessary in order to prevent the occurrence of new shock waves and/or a negative impact on the traffic flows in other locations. In this paper we present a model predictive control (MPC) approach to optimally coordinate variable speed limits for freeway traffic with the aim of suppressing shock waves. First, we optimize continuous valued speed limits, such that the total travel time is minimal. Next, we include a safety constraint that prevents drivers from encountering speed limit drops larger than, e.g., 10 km/h. Furthermore, to get a better correspondence between the computed and the applied control signals, we now consider discrete speed limits. We illustrate our approach with a benchmark problem.

 * Online version of the paper
 * Corresponding technical report: pdf file (344 KB)
      Note: More information on the pdf file format mentioned above can be found here.

Bibtex entry:

        author={A. Hegyi and B. {D}e Schutter and J. Hellendoorn},
        title={Optimal coordination of variable speed limits to suppress shock waves},
        journal={IEEE Transactions on Intelligent Transportation Systems},

Go to the publications overview page.

This page is maintained by Bart De Schutter. Last update: March 20, 2022.