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A MILP Model for the Scheduling of Non- continuous Serial Multi-product Multi-stage Batch Processes with Non-identical Machines

In this paper a mixed integer lineal programming (MILP) approach is proposed for the scheduling of multiple dissimilar orders in a non-continuous serial production environment. In this context, different products must be produced in several stages, in which a single machine is chosen per stage to accomplish the production of each order. This work has been carried out in a manufacturing company of garden decoration's products. The major complexity of this problem relies on the possibility of considering a wide range of colors, shapes and sizes of products to be manufactured, commonly named as modes. The main aim of this mathematical model is to correctly schedule and synchronize different types of modes, minimizing the total tardiness and the completion time of all production orders in the system.