Failure of classical traffic and transportation theory: The maximization of the network throughput maintaining free flow conditions in network

Boris S. Kerner

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arXiv · 1602.08957

Failure of classical traffic and transportation theory: The maximization of the network throughput maintaining free flow conditions in network

Boris S. Kerner

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Abstract

We have revealed general physical conditions for the {\it maximization} of the network throughput at which free flow conditions are ensured, i.e., traffic breakdown cannot occur in the whole traffic or transportation network. A physical measure of the network -- {\it network capacity} is introduced that characterizes general features of the network with respect to the maximization of the network throughput. The network capacity allows us also to make a general proof of the deterioration of traffic system occurring when dynamic traffic assignment is performed in a network based on the classical Wardrop' user equilibrium (UE) and system optimum (SO) equilibrium.

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Boris S. Kerner. 2016-02-29. Failure of classical traffic and transportation theory: The maximization of the network throughput maintaining free flow conditions in network. https://arxiv.org/abs/1602.08957

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