An evolution model for network traffic flow based on price-quantity regula-tion
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    Abstract:

    In this paper,a novel network flow dynamic model is developed based on the price-quantity regula-tion method of non-Walrasian equilibrium theory in Economics. In addition to the common notion that a travel-er’s route choice is only influenced by the travel time ( price) ,the presented model also considers the impact of the surplus capacity ( quantity) . A price regulation model and a quantity regulation model are established separately to form the basis of a price-quantity regulation evolution model. The stable traffic flow pattern resul-ting from such route choice behavior is defined as the price-quantity mixed user equilibrium. It is found that the stable state of the price-quantity model is equivalent to the price-quantity mixed user equilibrium. Moreo-ver,both the separated price regulation and quantity regulation models are the special cases of the combined price-quantity regulation model. At last,a numerical example is conducted to analyze the proposed model. The results show that the proposed three models can describe the variation of route flow perfectly and the stable states of these models are corresponding to three types of equilibrium traffic flow patterns,respectively.

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  • Online: April 14,2018
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