锻压技术

集成电路板单一下料的动态规划算法

英文标题：Dynamic programming algorithms of single cutting for PCB

作者：崔耀东黎凤洁陈秋莲

单位：广西大学

分类号：TP391

出版年,卷(期):页码：2019,44(9):23-26

摘要：

针对集成电路板单一下料问题，提出两种动态规划算法：基本算法和改进算法，采用分支定界技术加速问题求解。将集成电路板单一下料过程分为两个阶段：第1阶段将板材剪切成相同尺寸的矩形工作板，第2阶段将工作板切成矩形单元板。优化目标为单张板材中所布局的矩形单元板数最大。改进算法利用动态规划算法的全容量特性，通过排除无潜力工作板，大幅度地缩短计算时间。实验结果表明：改进算法保证了解的最优性，使材料利用率达到最大；同时，算法求解速度快，计算时间均在0.4 s以内，可以满足集成电路板制造业优化下料和网上订单系统的实时报价需要。

For the problem of single cutting for PCB, two dynamic programming algorithms, namely basic algorithm and improved algorithm, were presented by the branch-and-bound technique to speed up the solution process, and the process of single cutting for PCB was divided into two stages. In the first stage, the sheet was cut into the identical rectangular panels, and in the second stage, the panels were divided into rectangular units. However, the optimization objective was to maximize the number of rectangular units laid out in a single plate. Furthermore, the improved algorithm utilized the full-capacity characteristics of the dynamic programming algorithm, and the calculating time was greatly reduced by eliminating the panels without potential. The experimental results show that the optimality of the solution is guaranteed and the material utilization ratio is maximized by the improved algorithm.At the same time, the solving speed of the algorithm is fast within 0.4 s, which can meet the requirements of optimizing the cutting plans of the PCB manufacturing industry and the real-time quotation of the online order system.

基金项目：

国家自然科学基金资助项目(71371058，61363026)

崔耀东（1957-），男，博士，教授 E-mail：ydcui@263.net 通讯作者：陈秋莲（1974-），女，博士，副教授 E-mail：cql668@163.com

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