A method has been developed to select fuel rod enrichments for a fuel bundle of a nuclear reactor, the method including: creating an ordered list of fuel rod types in an initial fuel bundle design; perturbing at least a subset of the fuel rod types in the initial fuel bundle design to generate a plurality of perturbed fuel bundle designs; selecting perturbed fuel bundle designs having fuel rods with allowable fuel enrichment types and an allowable average enrichment for the perturbed bundle; determining a difference between each of the selected perturbed fuel bundle design and the initial fuel bundle design, and creating a group of the perturbed fuel bundle design having a difference less than a predetermined threshold difference value.