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摘要：
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在生成排样图案时，应同时考虑材料利用率和切割过程的复杂性。提出了一种用于生成矩形件剪切割方式的分阶段式排样方案的算法。它仅允许一种尺寸的毛坯出现在匀质块中，从而简化了切割过程。该算法采用隐式枚举算法和动态规划来确定最佳优化排样方案，以使材料利用率达到最大。通过文献中的测题，将该算法与普通T形排样方式算法、普通两段排样方式算法和复合条带两段排样方式算法进行比较。实验结果表明：在所有测题中，本文算法的材料利用率均高于以上3种算法；本文算法解决二维无约束剪切排样问题的平均计算时间为0.363 s，计算时间合理。
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The material utilization and the complexity of cutting process should be considered in generating the layout pattern. Therefore, a algorithm of staged layout scheme was presented for generating the cutting scheme for rectangular part to simplify the cutting process by allowing only one size of blank to appear in a homogenous block, and the optimal layout scheme was determined by the implicit enumeration algorithm and the dynamic programming to maximize the material utilization. Furthermore, the algorithm was compared with the normal T-shaped layout pattern algorithm, the normal two-stage layout pattern algorithm and the compound two-strip layout pattern algorithm by the test problems in the literature. The results show that in all the test problems, the material utilization of algorithm in this paper is higher than those of the above three algorithms, and the average computation time of algorithm in this paper to solve the layout problem of unconstrained two-dimensional cutting is 0.363 s which is reasonable.
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基金项目：
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国家自然科学基金资助项目（71371058, 61363026）；北京市教委科研计划项目（KM201910858004）；北京科技电子职业学院课题（2019Z002-003-KXB）
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作者简介：
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季君(1979-)，女，博士，副教授，E-mail：ji_jun2000@sina.com
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参考文献：
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