ized adaptive search procedure (GRASP) and a VNS with embedded VND utilizing NNI, Step, and SPR neighborhood structures [2]; see Section 3. A GRASP/VND hybrid using a multiple SPR neighborhood (i.e. a composition of successive
SPR moves) was introduced in [19]. In our work we adopt some of these well working strategies originally proposed
for phylogenetic inference to also solve the consensus tree problem in better ways.