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Preprint 722-2001

Numerical simulation of train traffic in large networks via time-optimal control

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Author(s) : Christoph Blendinger , Volker Mehrmann , Andreas Steinbrecher , Roman Unger

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 722-2001

MSC 2000

37N35 Dynamical systems in control
70-08 Computational methods

Abstract :
We discuss the mathematical modelling of schedule based rail traffic. The model is used to develop efficient numerical simulation methods for the time optimal control of a large number of interacting trains in a large network. The time optimal control is used to model the realistic behaviour of driving in a network like that of Deutsche Bahn. It is used to allow a real time simulation with incomplete information on real train velocities. We present numerical examples that demonstrate the efficiency of the model and the simulation method.

Keywords : time optimal control, traffic simulation, mathematical modelling

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