锻压技术

矩形件二维下料问题的一种求解方法

英文标题：A solving method of two-dimensional cutting for the rectangular blank

作者：易向阳仝青山潘卫平

单位：广西大学河北金融学院

分类号：TG386

出版年,卷(期):页码：2015,40(6):150-154

摘要：

求解矩形件二维下料问题，即解决如何用最少的板材切割出所需的全部矩形毛坯。提出一种切割工艺简单的新型排样方式即单毛坯条带四块排样方式。首先采用经典背包算法生成排样方式，然后采用基于列生成的线性规划算法迭代调用上述排样方式生成算法求解下料方案。将文中排样方式分别与文献中经典两阶段和经典两段排样方式进行比较，实验计算结果表明，四块排样方式排样价值高于以上两种排样方式。最后通过实际下料求解，证明了使用该算法的材料利用率较高。

To solve the two-dimensional cutting was to handle that how to cut out the required rectangular blank by the least sheet metal. A new simple nesting type of the cutting process, namely nesting four parts in a single strip, was put forward. Firstly, the nesting type was generated by the classical knapsack algorithm, and then the algorithm of solving cutting process was generated by calling the above nesting type based on the linear programming iterative algorithm of column generation. It was compared with the traditional two stages and two segment nesting types respeltively. The experimental computation results show that the type of nesting four parts is higher than the above two kinds of nesting type. Finally, through the cutting example, a higher material utilization was proved.

基金项目：

国家自然科学基金资助项目(61262003）

易向阳（1973-），男，硕士，讲师;通信作者：潘卫平（1989-），男，硕士

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