This Final Master Project introduces a new strategy to provide QoS in IP/OBS networks, using routing with prioritization based on statistics, named RPBS. A new method is provided and subsequently validated. This proposal uses the feedback scheme in optical networks to provide statistical knowledge with the objective of finding a suitable route to reach each destination from a specific source node, with more chance of success. This yields a twofold outcome. First, the losses can be reduced in a big number due to statistics. Second, the delays are also reduced compared with other methods based on feedback scheme. These two improvements allow better QoS provision, supporting class differentiation and more efficient resources utilization. The benefits of this proposal are quantified and further compared against existent alternatives by simulations.