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

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