MILP Model Applied to the Planning of a Computerized Numerical Control Lathes Workshop

Abstract

This work introduces the formulation and application of a MILP model to solve the problem of planning the weekly production of a machine shop using numerical control lathes to manufacture spare parts for agricultural machines. The machine shop works under a Flexible Job Shop system and in turn has limited labor force with different abilities to operate the various high-complexity lathes and to carry out the setup tasks in each of them. The developed model is based on a basic formulation for the classical problem; and flexible adjustment is shown for the various situations that may arise from different scheduling problems. The application of the model to various scenarios is presented and the improvements brought about by the analysis of solutions are discussed.