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The document discusses the optimal ramp control problem for freeways, focusing on ramp metering as a strategy to alleviate peak hour congestion. It formulates the problem as a dynamic optimization process aimed at minimizing total time spent in the freeway system, which includes both travel and queuing times. The authors analyze when ramp metering is beneficial or detrimental under various traffic conditions, particularly emphasizing that it can be effective during transitional traffic states but not during uniformly congested or uncongested conditions. The paper also presents numerical methods for solving the control problem and includes empirical validation through case studies.

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