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An exact algorithm for two-staged cutting patterns of rectangular pieces

机译:矩形块两阶段切割模式的精确算法

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Packing of rectangular is an NP-complete problem, and is widespread application in the industry. An algorithm is proposed for generating the optimal two-staged cutting patterns for rectangular blanks based on the homogenous block. In 43 problems, compared with the general two-staged algorithm, the pattern value of this paper's algorithm is larger in 21 problems, equal in 22 problems. In 20 problems, compared with the three block algorithm, the pattern value of this paper's algorithm is larger in 13 problems, equal in 7 problems. In all instances, the computation time of this paper's algorithm is 0–2 seconds.
机译:矩形的填充是一个NP完全问题,并且在工业中得到了广泛的应用。提出了一种基于均匀块生成矩形毛坯最优两阶段切割图案的算法。在43个问题中,与常规的两阶段算法相比,本文算法的模式值在21个问题中更大,在22个问题中相等。在20个问题中,与三块算法相比,本文算法的模式值在13个问题中更大,在7个问题中相等。在所有情况下,本文算法的计算时间均为0–2秒。

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