Modification of Haessler’s sequential heuristic procedure for the one-dimensional cutting stock problem with setup cost

Abstract Paper aims We propose a modified Sequential Heuristic Procedure (MSHP) to reduce the cutting waste and number of setups for the One-Dimensional Cutting Stock Problem with Setup Cost. Originality This heuristic modifies Haessler’s sequential heuristic procedure (1975) by adapting the Int...

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Main Authors: Mateus Martin, Antonio Moretti, Marcia Gomes-Ruggiero, Luiz Salles Neto
Format: Article
Language:English
Published: Associação Brasileira de Engenharia de Produção (ABEPRO) 2018-10-01
Series:Production
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Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-65132018000100217&lng=en&tlng=en
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author Mateus Martin
Antonio Moretti
Marcia Gomes-Ruggiero
Luiz Salles Neto
author_facet Mateus Martin
Antonio Moretti
Marcia Gomes-Ruggiero
Luiz Salles Neto
author_sort Mateus Martin
collection DOAJ
description Abstract Paper aims We propose a modified Sequential Heuristic Procedure (MSHP) to reduce the cutting waste and number of setups for the One-Dimensional Cutting Stock Problem with Setup Cost. Originality This heuristic modifies Haessler’s sequential heuristic procedure (1975) by adapting the Integer Bounded Knapsack Problem to generate cutting patterns, instead of the original lexicographic search employed. The solution strategy is to generate different cutting plans using MSHP, and then to use an integer programming model to seek even better results. Research method It is a axiomatic research, ordinary in studies of Operational Research. Main findings In the computational experiments, we demonstrate the effectiveness of the algorithm with two sets of benchmark instances by comparing it with other approaches, and obtaining better solutions for some scenarios. Implications for theory and practice The approach is suitable for practitioners from different industrial settings due to its easily coding and possible adaptation for problem extensions.
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id doaj-art-39d7efb8c2a1401bbf498e93328f4b3b
institution OA Journals
issn 1980-5411
language English
publishDate 2018-10-01
publisher Associação Brasileira de Engenharia de Produção (ABEPRO)
record_format Article
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spelling doaj-art-39d7efb8c2a1401bbf498e93328f4b3b2025-08-20T02:24:13ZengAssociação Brasileira de Engenharia de Produção (ABEPRO)Production1980-54112018-10-0128010.1590/0103-6513.20170105S0103-65132018000100217Modification of Haessler’s sequential heuristic procedure for the one-dimensional cutting stock problem with setup costMateus MartinAntonio MorettiMarcia Gomes-RuggieroLuiz Salles NetoAbstract Paper aims We propose a modified Sequential Heuristic Procedure (MSHP) to reduce the cutting waste and number of setups for the One-Dimensional Cutting Stock Problem with Setup Cost. Originality This heuristic modifies Haessler’s sequential heuristic procedure (1975) by adapting the Integer Bounded Knapsack Problem to generate cutting patterns, instead of the original lexicographic search employed. The solution strategy is to generate different cutting plans using MSHP, and then to use an integer programming model to seek even better results. Research method It is a axiomatic research, ordinary in studies of Operational Research. Main findings In the computational experiments, we demonstrate the effectiveness of the algorithm with two sets of benchmark instances by comparing it with other approaches, and obtaining better solutions for some scenarios. Implications for theory and practice The approach is suitable for practitioners from different industrial settings due to its easily coding and possible adaptation for problem extensions.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-65132018000100217&lng=en&tlng=enCutting stockProblemSetup costsHeuristics
spellingShingle Mateus Martin
Antonio Moretti
Marcia Gomes-Ruggiero
Luiz Salles Neto
Modification of Haessler’s sequential heuristic procedure for the one-dimensional cutting stock problem with setup cost
Production
Cutting stock
Problem
Setup costs
Heuristics
title Modification of Haessler’s sequential heuristic procedure for the one-dimensional cutting stock problem with setup cost
title_full Modification of Haessler’s sequential heuristic procedure for the one-dimensional cutting stock problem with setup cost
title_fullStr Modification of Haessler’s sequential heuristic procedure for the one-dimensional cutting stock problem with setup cost
title_full_unstemmed Modification of Haessler’s sequential heuristic procedure for the one-dimensional cutting stock problem with setup cost
title_short Modification of Haessler’s sequential heuristic procedure for the one-dimensional cutting stock problem with setup cost
title_sort modification of haessler s sequential heuristic procedure for the one dimensional cutting stock problem with setup cost
topic Cutting stock
Problem
Setup costs
Heuristics
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-65132018000100217&lng=en&tlng=en
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AT antoniomoretti modificationofhaesslerssequentialheuristicprocedurefortheonedimensionalcuttingstockproblemwithsetupcost
AT marciagomesruggiero modificationofhaesslerssequentialheuristicprocedurefortheonedimensionalcuttingstockproblemwithsetupcost
AT luizsallesneto modificationofhaesslerssequentialheuristicprocedurefortheonedimensionalcuttingstockproblemwithsetupcost