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An algorithm for the two-dimensional cutting problem of punched strips with blade length constraint

机译:叶片长度约束的冲切带钢二维切割问题的算法

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摘要

This paper presents an algorithm for generating optimal T-shaped cutting patterns of punched strips. A strip contains only items of the same type. The stock plate is divided into items in two stages. First a guillotine machine cuts the plate into strips, then a stamping press punches out the items from the strips. The blade length of the guillotine machine may be shorter than the plate length. The algorithm divides the plate into two segments. Each segment contains strips of the same direction. The strip directions of the two segments are perpendicular to each other. The algorithm uses dynamic programming techniques to determine the optimal strip layouts on segments of different lengths not longer than the blade length, considers all possible combinations of two segments, and selects the best pair as the optimal solution. The computational results indicate that the new algorithm is much more efficient than the existing algorithm. [PUBLICATION ABSTRACT]
机译:本文提出了一种算法,用于生成最佳的T形冲切带切割模式。条带仅包含相同类型的项目。库存板分为两个阶段。首先,一台断头台机器将印版切成条,然后一台冲压机从条上冲压出物品。断头台机器的刀片长度可能短于板长度。该算法将板划分为两个部分。每个段包含相同方向的条带。两个段的条带方向彼此垂直。该算法使用动态编程技术来确定长度不超过叶片长度的不同长度段上的最佳条带布局,考虑两个段的所有可能组合,然后选择最佳对作为最佳解决方案。计算结果表明,新算法比现有算法具有更高的效率。 [出版物摘要]

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