A fast and scalable deepest-left-bottom-fill algorithm to solve irregular 3D cutting and packing problems using a semi-discrete representation.
| Title: | A fast and scalable deepest-left-bottom-fill algorithm to solve irregular 3D cutting and packing problems using a semi-discrete representation. |
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| Authors: | Chehrazad, Sahar1 (AUTHOR), Roose, Dirk1 (AUTHOR), Wauters, Tony1 (AUTHOR) Tony.Wauters@kuleuven.be |
| Source: | International Journal of Production Research. Mar2025, p1-24. 24p. 15 Illustrations. |
| Subject Terms: | Parallel algorithms, Greedy algorithms, Multicore processors, Cutting stock problem, Dynamic loads |
| Abstract: | In this paper, we introduce a fast and scalable algorithm to solve irregular 3D cutting and packing problems. The possibly non-convex pieces and the container are semi-discretised using a grid in two dimensions, resulting in line segments in the third dimension. The semi-discretization algorithm ensures that a non-overlapping placement of the segments, representing two pieces, does not result in any overlap of these pieces. We present a deepest-left-bottom-fill greedy placement algorithm using an optimised ordering of the segment overlap tests to solve the open dimension problem. We also introduce a parallel version of the algorithm with dynamic load balancing. The performance of this placement algorithm is compared with results for some benchmark data sets. Competitive results are obtained within a very short runtime, even when the rotation of pieces is considered. Moreover, our algorithm scales well when the number of pieces and number of allowed rotations increases. We evaluate the performance of the parallel algorithm on a multicore processor using different task sizes. To further improve the solution quality, we implement a hill climbing algorithm based on reordering the pieces on top of the deepest-left-bottom-fill algorithm and we compare its performance with results presented in the literature. [ABSTRACT FROM AUTHOR] |
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| Items | – Name: Title Label: Title Group: Ti Data: A fast and scalable deepest-left-bottom-fill algorithm to solve irregular 3D cutting and packing problems using a semi-discrete representation. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Chehrazad%2C+Sahar%22">Chehrazad, Sahar</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Roose%2C+Dirk%22">Roose, Dirk</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wauters%2C+Tony%22">Wauters, Tony</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> Tony.Wauters@kuleuven.be</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Production+Research%22">International Journal of Production Research</searchLink>. Mar2025, p1-24. 24p. 15 Illustrations. – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Parallel+algorithms%22">Parallel algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Greedy+algorithms%22">Greedy algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Multicore+processors%22">Multicore processors</searchLink><br /><searchLink fieldCode="DE" term="%22Cutting+stock+problem%22">Cutting stock problem</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamic+loads%22">Dynamic loads</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, we introduce a fast and scalable algorithm to solve irregular 3D cutting and packing problems. The possibly non-convex pieces and the container are semi-discretised using a grid in two dimensions, resulting in line segments in the third dimension. The semi-discretization algorithm ensures that a non-overlapping placement of the segments, representing two pieces, does not result in any overlap of these pieces. We present a deepest-left-bottom-fill greedy placement algorithm using an optimised ordering of the segment overlap tests to solve the open dimension problem. We also introduce a parallel version of the algorithm with dynamic load balancing. The performance of this placement algorithm is compared with results for some benchmark data sets. Competitive results are obtained within a very short runtime, even when the rotation of pieces is considered. Moreover, our algorithm scales well when the number of pieces and number of allowed rotations increases. We evaluate the performance of the parallel algorithm on a multicore processor using different task sizes. To further improve the solution quality, we implement a hill climbing algorithm based on reordering the pieces on top of the deepest-left-bottom-fill algorithm and we compare its performance with results presented in the literature. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal of Production Research is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/00207543.2025.2478434 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 24 StartPage: 1 Subjects: – SubjectFull: Parallel algorithms Type: general – SubjectFull: Greedy algorithms Type: general – SubjectFull: Multicore processors Type: general – SubjectFull: Cutting stock problem Type: general – SubjectFull: Dynamic loads Type: general Titles: – TitleFull: A fast and scalable deepest-left-bottom-fill algorithm to solve irregular 3D cutting and packing problems using a semi-discrete representation. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Chehrazad, Sahar – PersonEntity: Name: NameFull: Roose, Dirk – PersonEntity: Name: NameFull: Wauters, Tony IsPartOfRelationships: – BibEntity: Dates: – D: 14 M: 03 Text: Mar2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 00207543 Titles: – TitleFull: International Journal of Production Research Type: main |
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