The exponential growth of computer networking demands massive upgrades in t
he capacity of existing networks. Traditional capacity design methodologies
, developed with the single-class networking paradigm in mind, overlook the
non-cooperative structure of modem networks. Consequently, such design app
roaches entail the danger of degraded performance when resources are added
to a network, a phenomenon known as the Braess paradox.
The present paper proposes methods for adding resources efficiently to a no
n-cooperative network of general topology. It is shown that the paradox is
avoided when resources are added across the network, rather than on a local
scale, and when upgrades are focused on direct connections between the sou
rces and destinations. The relevance of these results for modem networks is
demonstrated.