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Capacity drop and traffic control for a second order traffic model

Abstract : In this paper, we illustrate how second order traffic flow models, in our case the Aw-Rascle equations, can be used to reproduce empirical observations such as the capacity drop at merges and solve related optimal control problems. To this aim, we propose a model for on-ramp junctions and derive suitable coupling conditions. These are associated to the first order Godunov scheme to numerically study the well-known capacity drop effect, where the outflow of the system is significantly below the expected maximum. Control issues such as speed and ramp meter control are also addressed in a first discretize-then optimize framework.
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Submitted on : Thursday, November 24, 2016 - 9:34:57 PM
Last modification on : Saturday, June 25, 2022 - 11:24:32 PM
Long-term archiving on: : Monday, March 20, 2017 - 11:37:15 PM


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  • HAL Id : hal-01402608, version 1


Oliver Kolb, Simone Göttlich, Paola Goatin. Capacity drop and traffic control for a second order traffic model. Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2017, 12 (4), pp.663-681. ⟨hal-01402608⟩



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