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We show that the capacity of a complex network that models a city street gridto support congested traffic can be optimized by using routes that collectivelyminimize the maximum ratio of betweenness to capacity in any link. Networkswith a heterogeneous distribution of link capacities and with a heterogeneoustransport load are considered. We find that overall traffic congestion andaverage travel times can be significantly reduced by a judicious use of slower,smaller capacity links.

Collectively optimal routing for congested traffic limited by link capacity