Abstract: A method is described for path selection in communications networks with multiple QoS metrics. This method takes an additive metric (say, cost) as a path minimization target and a concave metric (say, bandwidth) as a minimum requirement for each link. A potential objective is to find a path between a source node and a destination node in a communications network such that the bandwidth of each link in the path exceeds a bandwidth requirement and the cost of the path is minimized. The method eliminates from consideration those links whose available bandwidth does not exceed a required bandwidth. The method then reassigns the cost of those links whose available bandwidth does not exceed a function of the required bandwidth. A path from the source node to the destination node is then selected, using only links still under consideration, corresponding to a path wherein cost is minimized.