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An integer programming framework for sequencing cutting patterns based on interval graph completion

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Resumo(s)

We derived a framework in integer programming, based on the properties of a linear ordering of the vertices in interval graphs, that acts as an edge completion model for obtaining interval graphs. This model can be applied to problems of sequencing cutting patterns, namely the minimization of open stacks problem (MOSP). By making small modifications in the objective function and using only some of the inequalities, the MOSP model is applied to another pattern sequencing problem that aims to minimize, not only the number of stacks, but also the order spread (the minimization of the stack occupation problem), and the model is tested.

Descrição

Palavras-chave

Integer programming Interval graphs Sequencing cutting patterns

Contexto Educativo

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Fascículo

Editora

ALIO-EURO 2011

Licença CC