Impact of Graph Compression on Solving the Two-Dimensional Strip Cutting Problem

Mehdi Mrad, Tamer G. Ali, Ali Balma, A. Gharbi, Ali Samhan, M. Louly
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Abstract

We address the problematic of cutting m rectangular items from a two-dimensional strip. Each item has a given width, height, and demand. The purpose is to minimize the height of the used strip, while respecting the two stages of guillotine cuts. We consider the arc-flow formulation for this NP-hard problem and propose to enhance it using graph compression techniques. Computational results on real-world data show a consistently promising impact of the graph compression in terms of computation time and graph size.
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图压缩对解决二维带材切割问题的影响
我们解决了从二维条带上切割m个矩形项目的问题。每个物品都有给定的宽度、高度和需求。目的是尽量减少使用的高度,同时尊重两个阶段的断头台切割。我们考虑了这个np困难问题的弧流公式,并建议使用图压缩技术来增强它。在实际数据上的计算结果显示,在计算时间和图大小方面,图压缩具有一致的有希望的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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