The default value of each of those parameters is 0 (zero). By default, ILOG CPLEX automatically determines how often (if at all) it should try to generate that class of cut. A setting of -1 indicates that no cuts of the class should be generated; a setting of 1 indicates that cuts of the class should be generated moderately; and a setting of 2 indicates that cuts of the class should be generated aggressively. For disjunctive cuts, a setting of 3 is permitted, which indicates that disjunctive cuts should be generated very aggressively.

In the Interactive Optimizer, the command set mip cuts all i applies the value i to all classes of cut parameters. That is, you can set them all at once.

The CutsFactor parameter controls the number of cuts ILOG CPLEX adds to the model. The problem can grow to CutsFactor times the original number of rows in the model (or in the presolved model, if the presolver is active). Thus, a CutsFactor of 1.0 would mean that no cuts will be generated, which may be a more convenient way of turning off all cuts than setting them individually. The default CutsFactor value of 4.0 works well in most cases, as it allows a generous number of cuts while in rare instances it also serves to limit unchecked growth in the problem size.

The AggCutLim parameter controls the number of constraints allowed to be aggregated for generating MIR and flow cover cuts.

The FracPass parameter controls the number of passes for generating Gomory fractional cuts. This parameter will not have any effect if the parameter for set mip cuts gomory has a non-default value.

The FracCand parameter controls the number of variable candidates to be considered for generating Gomory fractional cuts.