Moving Bottlenecks in Lighthill-Whitham-Richards Model: A Unified Theory

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Abstract
A unified general framework for the moving-bottleneck models based on the Lighthill-Whitham-Richards theory is proposed. It is shown that all existing models may be considered as particular cases of the general model, differing only by the phenomenology involved, that is, by the shape of the flow-density relationship used for the restricted section. Possible generalization of the model through various flow-density relationships is discussed, as well as the possibilities of experimental validation.

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