锻压技术

二维下料问题的顺序按叠分组启发式算法

英文标题：Sequential stacking grouping heuristic algorithms of two-dimensional cutting stock problem

作者：许雁杰陈秋莲陈燕崔耀东

单位：广西大学

分类号：TP391

出版年,卷(期):页码：2020,45(9):45-50

摘要：

提出顺序按叠分组启发式算法求解二维按叠下料问题，确定按叠下料方案。顺序按叠分组启发式算法按顺序生成组成下料方案的布局图，对于每一个布局图，先根据整叠规则选择毛坯（矩形件）形成的候选毛坯集，再按候选毛坯集分组排样生成当前布局图，并根据整叠规则确定该布局图的使用次数；重复此布局图的生成过程，直至所有毛坯的需求均得到满足，从而确定下料方案。每次生成一个布局图后，通过毛坯价值修正算法对毛坯价值进行修正，使毛坯价值趋于合理。经多次迭代，生成多个不同的下料方案，从中选择总成本最低者作为按叠下料问题的解。实验结果表明，基于整叠规则的顺序分组启发式算法可明显降低二维按叠下料的总成本。

A sequential stacking grouping heuristic (SSGH) algorthms was presented to solve the two-dimensional stacking cutting stock problem and determine the stacking cutting scheme, and the SSGH algorthms sequentially generated the layouts in the cutting stock scheme. For each layout, candidate blank set was formed by selecting the blanks (rectangular pieces) according to the stacking rule, and then the current layout was generated by grouping and nesting the candidate blank set. According to the stacking rule, the usage times of layout was determined, and the generation process of layout was repeated until all the requirements of blanks were met to determine the cutting stock scheme. Each time a layout was generated, the value of blank was corrected by the blank value correction algorithm until the value of blank tended to be reasonable. Furthermore, after many iterations, many different cutting stock schemes were generated, and the one with the lowest total cost was selected as the solution of stacking cutting stock problem. Experimental results show that the SSGH algorthms based on the stacking rule obviously reduces the total cost of two-dimensional stacking cutting stock problem.

基金项目：

国家自然科学基金资助项目(71371058，61363026)

许雁杰(1994-)，男，硕士研究生 E-mail：731034843@qq.com 通讯作者：陈秋莲(1974-)，女，博士，副教授 E-mail：chen-ql@foxmail.com

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