Properties of the lwr model with time delay
Simone Göttlich, Elisa Iacomini, Thomas Jung
2021Institutional Research Information System University of Ferrara (University of Ferrara)10 citationsDOI
Abstract
In this article, we investigate theoretical and numerical properties of the first-order Lighthill-Whitham-Richards (LWR) traffic flow model with time delay. Since standard results from the literature are not directly applicable to the delayed model, we mainly focus on the numerical analysis of the proposed finite difference discretization. The simulation results also show that the delay model is able to capture Stop & Go waves.
Topics & Concepts
DiscretizationFocus (optics)Computer scienceApplied mathematicsFinite differenceFlow (mathematics)MechanicsCalculus (dental)MathematicsMathematical analysisPhysicsOpticsMedicineDentistryTraffic control and managementTransportation Planning and OptimizationAdvanced Queuing Theory Analysis