A mixed integer linear programming model for set-up reduction superstructures

The objective of this research is to introduce the concept of a set-up reduction superstructure and evaluate its utility in set-up reduction projects. For a given set-up project, consisting of several interdependent activities as well as existing ones, a superstructure is defined. For this superstructure, a corresponding mixed integer linear programming model is developed with a view to selecting the optimum set-up project. The resulting model is applied to the set-up reduction problem in a real example of the fabrication in a computer numerical control lathe of a vibration reduction pulley for lorry motors. The model is implemented in the Mathematica platform. It is shown that the set-up reduction superstructure is a useful concept in practice.