Proportional fairness
= Proportional fairness
{wiki}
= Proportionally fair allocation
{synonym}
A rate allocation is proportionally fair when the sum of proportional changes toward any feasible competitor is nonpositive. If route $r$ has $n_r$ identical active flows, this condition is $\sum_rn_r(\widetilde x_r-x_r)/x_r\leq0$ and is equivalent to maximizing <weighted logarithmic utility> subject to capacity constraints.