The ILOG CPLEX Mixed Integer Optimizer solves MIP models using a very general and robust branch & cut algorithm. While MIP models have the potential to be much more difficult than their continuous LP, QCP, and QP counterparts, it is also the case that large MIP models are routinely solved in many production applications. A great deal of algorithmic development effort has been devoted to establishing default ILOG CPLEX parameter settings that achieve good performance on a wide variety of MIP models. Therefore, it is recommended to try solving your model by first calling the Mixed Integer Optimizer in its most straightforward form.

To invoke the Mixed Integer Optimizer: