Does the Cutoff parameter in Gurobi do anything other than prohibit returning solutions below/above the cutoff value?
I ask in particular because I have a maximization MIP where I am trying to find a solution of at least X (don't care if it's optimal, just X or higher). Gurobi has previously found incumbent solutions of 0.8X, with an upper bound of 1.1X, before failing to improve.
So I know that 0.8X is attainable, is there any benefit to setting Cutoff to 0.8X? Would that speed up the solve time at all to get to an incumbent > 0.8X?