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矩形等离子板材切割的加工炬运动。

The machining torch movement for the rectangular plasma sheet metal cut.

机构信息

Innovation and Competitiveness Group, Production Engineering Post-Graduation Program, Federal University of Santa Maria, Santa Maria, Brazil.

Production Engineering Post-Graduation Program, Industrial Technical College of Santa Maria, Santa Maria, Brazil.

出版信息

PLoS One. 2023 Sep 14;18(9):e0291184. doi: 10.1371/journal.pone.0291184. eCollection 2023.

DOI:10.1371/journal.pone.0291184
PMID:37708183
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10501594/
Abstract

The sheet metals can be cut into rectangular or irregular pieces, where the main objective is to minimize the sheet metal's physical waste. However, the operating time, the number of movements to cut all rectangles edges, and the cutting process quality, must be considered. The objective of this research was to compare the machining torch movement behavior using optimal and alternative solutions for rectangular plasma sheet metal cuts. A bottom-left-fill heuristic and a tabu search heuristic were used to find the alternative solution, while the optimal solution was obtained with a mixed-integer linear programming. The comparison was developed considering three parameters: the total processing time, the effective distance traveled by the machining torch to cut the metal, and the movement distance traveled by the machining torch without cutting the metal. The packing layout given by alternative solutions can reduce the operational cutting processing time and the distance covered by the machining torch movement. From an economic perspective, optimal solutions are recommended when compared to alternative solutions given the lower expenses with raw material waste.

摘要

金属板材可以切割成矩形或不规则形状,主要目的是尽量减少金属板材的物理浪费。然而,需要考虑操作时间、切割所有矩形边缘的移动次数以及切割过程质量。本研究的目的是比较使用矩形等离子体金属板材切割的最优和替代解决方案的加工火炬运动行为。使用左下角填充启发式和禁忌搜索启发式来寻找替代解决方案,而最优解决方案则使用混合整数线性规划获得。比较考虑了三个参数:总加工时间、加工火炬切割金属的有效移动距离以及加工火炬在不切割金属时的移动距离。替代解决方案给出的包装布局可以减少操作切割加工时间和加工火炬移动的距离。从经济角度来看,与替代解决方案相比,最优解决方案推荐使用,因为它们的原材料浪费费用较低。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d86c/10501594/cd3a9b4846f2/pone.0291184.g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d86c/10501594/2b9d7a1ca45c/pone.0291184.g001.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d86c/10501594/4a32642ad5b1/pone.0291184.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d86c/10501594/a695ef09b7e7/pone.0291184.g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d86c/10501594/aab138609053/pone.0291184.g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d86c/10501594/b57f15846830/pone.0291184.g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d86c/10501594/cd3a9b4846f2/pone.0291184.g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d86c/10501594/2b9d7a1ca45c/pone.0291184.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d86c/10501594/bd7194251e5f/pone.0291184.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d86c/10501594/4a32642ad5b1/pone.0291184.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d86c/10501594/a695ef09b7e7/pone.0291184.g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d86c/10501594/aab138609053/pone.0291184.g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d86c/10501594/b57f15846830/pone.0291184.g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/d86c/10501594/cd3a9b4846f2/pone.0291184.g007.jpg

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2
Exact solutions for the 2d-strip packing problem using the positions-and-covering methodology.使用位置-覆盖方法求解二维条带填充问题的精确解。
PLoS One. 2021 Jan 14;16(1):e0245267. doi: 10.1371/journal.pone.0245267. eCollection 2021.