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Formation of the guillotine cutting card of a sheet

机译:形成纸张的断头台切割卡

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摘要

The tasks of rational cutting-packaging have long attracted the attention of researchers and practitioners in various industries. They are classified as NP-complete problems. In this paper, two-dimensional orthogonal guillotine packaging in sheets of the same size is considered as the main one. An essential feature of the problem under consideration is technological limitations. You must place all the rectangles of different sizes and quantities, however, the layout template should be the same for all sheets. Thus, it is necessary to minimize the number of sheets in an acceptable time. To compare the effectiveness of various methods on the same class of tasks, the cutting coefficient is determined. However, an important issue in evaluating a particular method is the decision time. The paper presents a heuristic algorithm. The performed computational experiments confirm the effectiveness of the proposed method.
机译:理性切割包装的任务长期以来引起了各行业研究人员和从业者的注意。 它们被归类为NP完整的问题。 在本文中,在相同尺寸的薄片中的二维正交断头台包装被认为是主要的。 所考虑的问题的重要特征是技术限制。 您必须放置不同尺寸和数量的所有矩形,但是,所有工作表的布局模板都应相同。 因此,有必要在可接受的时间内最小化纸张的数量。 为了比较各种方法对同一类任务的有效性,确定切割系数。 然而,评估特定方法的重要问题是决定时间。 本文提出了一种启发式算法。 所进行的计算实验证实了该方法的有效性。

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