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Production planning in small-scale foundries is especially challenging due to the wide variety of alloys used and items produced. This problem can be summarized by determining which items will be produced at each period of the planning horizon and, consequently which alloys should be forged to ensure production. These decisions are directly related as each item is forged from a specific alloy. Therefore, the items to be produced in a given period depend on the alloys which were forged. At each period, the number of times an alloy is forged is limited and the volume of the molten alloy corresponds to the capacity of the furnace used. In the literature, this problem considering only one furnace for production was addressed using exact methods and heuristics. Although in practice it would be relevant to consider more than one type of furnace, few papers include this issue. Planning the production for multiple furnaces is especially important when considering saving electricity, and consequently reducing production costs. In this paper, we propose a mixed integer model for production planning based on the activities of a small-scale foundry in the state of Sao Paulo. This foundry makes uses of two furnaces which cannot be used simultaneously. Computational tests were conducted with the aim of comparing the multiple furnace model with solutions from the literature concerning problems in which only one furnace is used.

Dimensionamento de lotes em fundições de pequeno porte com múltiplos fornos