O problema integrado de dimensionamento de lotes e corte de estoque em uma indústria de colchões
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Data
2018-12-06
Autores
Christofoletti, Maurício Móz
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Editor
Universidade Estadual Paulista (Unesp)
Resumo
Dois problemas fundamentais surgem no planejamento da produção de muitos processos produtivos: o problema de dimensionamento de lotes e o problema de corte de estoque. Geralmente, as empresas tratam estes problemas separadamente, porém, ao considerá-los de maneira integrada, é possível obter melhores resultados. Neste trabalho, investiga-se o problema integrado de dimensionamento de lotes e corte de estoque tridimensional aplicado a uma indústria de colchões, visando à redução de custos e desperdícios. É proposto um modelo matemático de programação inteira mista para a resolução do problema. Testes computacionais com base em dados coletados em uma indústria do setor foram realizados, permitindo comparar as soluções obtidas pelo modelo e as soluções adotadas pela indústria. Testes adicionais foram realizados com dados aleatórios, a fim de avaliar o comportamento do modelo para diferentes casos. Os resultados indicam que o modelo apresenta um bom desempenho, reduzindo os custos da função objetivo para diferentes conjuntos de testes. Com base nos resultados, algumas direções interessantes podem ser exploradas pela indústria, como por exemplo, ao aumentar o número de padrões de corte, aumenta-se o número de combinações possíveis para o corte, resultando em melhor aproveitamento de material e redução nos custos.
Two fundamental problems arise in the production planning of many productive processes: the lot-sizing problem and the cutting stock problem. Generally, companies deal with these problems separately, but by considering them in an integrated way, it is possible to obtain better results. In this paper, the integrated lot-sizing and three-dimensional cutting stock problem applied to a mattress industry is investigated, aiming at reducing costs and waste. It is proposed a mathematical model of mixed integer programming for the problem resolution. Computational tests based on data collected in an industry of the sector were carried out, allowing to compare the solutions obtained by the model and the solutions adopted by the industry. Additional tests were performed with random data in order to evaluate the behaviour of the model for different cases. The results indicate that the model performs well, reducing the objective function costs for different sets of tests. Based on the results, some interesting directions can be explored by the industry, for example, by increasing the number of cutting patterns, the number of possible combinations for cutting is increased, resulting in better material utilization and reduction in costs.
Two fundamental problems arise in the production planning of many productive processes: the lot-sizing problem and the cutting stock problem. Generally, companies deal with these problems separately, but by considering them in an integrated way, it is possible to obtain better results. In this paper, the integrated lot-sizing and three-dimensional cutting stock problem applied to a mattress industry is investigated, aiming at reducing costs and waste. It is proposed a mathematical model of mixed integer programming for the problem resolution. Computational tests based on data collected in an industry of the sector were carried out, allowing to compare the solutions obtained by the model and the solutions adopted by the industry. Additional tests were performed with random data in order to evaluate the behaviour of the model for different cases. The results indicate that the model performs well, reducing the objective function costs for different sets of tests. Based on the results, some interesting directions can be explored by the industry, for example, by increasing the number of cutting patterns, the number of possible combinations for cutting is increased, resulting in better material utilization and reduction in costs.
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Palavras-chave
Problema de dimensionamento de lotes, Problema de corte de estoque tridimensional, Problema integrado, Indústria de colchões, Lot-sizing problem, Three-dimensional cutting stock problem, Integrated problem, Mattress industry