Abstract
We present in this paper a linear programming framework to address freeway control applications such as ramp metering. After showing the equivalence between the LWR model and a linear optimization problem, several extensions are introduced to model the ramp queues and the capacity drop phenomenon. A wide range of objective functions which are relevant in traffic engineering are then introduced and several optimization-based control strategies are discussed. The effectiveness and versatility of this method is illustrated on a class of objective functions for a ramp metering problem.
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