Optimal Oblivious Routing in Polynomial Time

Yossi Azar, Edith Cohen, Amos Fiat, Haim Kaplan, Harald Räcke.

A recent seminal result of Räcke is that for any network there is an oblivious routing algorithm with a polylog competitive ratio with respect to congestion. Unfortunately, Räcke's construction is not polynomial time. We give a polynomial time construction that guarantee's Räcke's bounds, and more generally gives the true optimal ratio for any network.