Doctoral Thesis
DOI
Document
Author
Full name
Larissa Tebaldi de Oliveira
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2019
Supervisor
Committee
Toledo, Franklina Maria Bragion de (President)
Andretta, Marina
Toffolo, Túlio Ângelo Machado
Usberti, Fabio Luiz
Title in Portuguese
Uma integração dos problemas de empacotamento de peças irregulares e de caminho mínimo de corte
Keywords in Portuguese
Caminho de corte
Empacotamento de peças irregulares
Matheurísticas
Abstract in Portuguese
Title in English
Integrating nesting and cutting path determination problems
Keywords in English
Cutting path
Integrated models
Irregular packing problem
Matheurísticas
Abstract in English
Having great applicability in industries, ranging from small clothing industries to large metal mechanic ones, packing problems aim to determine the positioning of small pieces over a large object minimizing, for instance, raw material waste. The main characteristic and obstacle of the irregular strip packing problem, studied in this research, is the irregular shape of its pieces. In some industries, after a layout of pieces has been defined, a second problem arises: the cutting path determination problem. Although the solution of the first strongly influences the resolution of the second, to the best of our knowledge, there are no strategy to integrate these problems. Here, we propose two irregular strip packing and cutting path integrated models. The first one minimizes the cutting path between the pieces considering that the cutting starts at a fixed vertex for each piece, while the second considers the cutting start point in any vertex of the pieces. Computational tests show that it is advantageous to integrate the problems, however, as both are difficult to solve, the integrated one is at least as difficult as each of them, so only small instances were solved to optimality. A matheuristic, based on the biased random-key genetic algorithm, is proposed for the continuos irregular strip packing problem and then extended to the integrated problem. The results are promising, the matheuristics is able to find solution for instances that had not been solved through the previously proposed integrated models.

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Publishing Date
2019-06-13

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