Title: Mathematical optimization models for traffic management systems
Abstract:
In the past years, at SINTEF we developed advanced management systems for rail- and air- traffic control.
The purpose is to schedule vehicles in real-time in order to control the movements, prevent conflicts in the use of the transport network and minimize delays and knock-on effects.
We introduce a basic optimization model (also shared with other relevant applications in industrial processing), which makes use of discrete-event graphs. We then show how this central model is related to very basic combinatorial optimization concepts, such as shortest path trees, linear programming and duality.
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