  We investigate the effect of a specific edge weighting scheme $\sim (k_i
k_j)^{\beta}$ on distributed flow efficiency and robustness to cascading
failures in scale-free networks. In particular, we analyze a simple, yet
fundamental distributed flow model: current flow in random resistor networks.
By the tuning of control parameter $\beta$ and by considering two general cases
of relative node processing capabilities as well as the effect of bandwidth, we
show the dependence of transport efficiency upon the correlations between the
topology and weights. By studying the severity of cascades for different
control parameter $\beta$, we find that network resilience to cascading
overloads and network throughput is optimal for the same value of $\beta$ over
the range of node capacities and available bandwidth.
