首页|基于贪心混合定位算法三阶段排样问题研究

基于贪心混合定位算法三阶段排样问题研究

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针对三阶段排样板材利用率问题,提出了基于贪心混合定位算法的三阶段排样优化方法.以板材利用率为优化目标,首先建立带约束的混合整数规划模型,对三阶段排样问题进行分割;其次将板材分成3个分区并使用贪心算法对输入序列进行排序优化;最后使用混合定位算法对候选矩形件找最优板材放置分区.研究采用数据规模为3 000块矩形件的4组板材数据集进行验证,结果表明,所提模型较其他算法板材利用率得到提高,且运行时长大幅缩短.
Research on Three-stage Nesting Problem Based on Greedy Hybrid Positioning Algorithm
A three-stage layout optimization method based on greedy hybrid positioning algorithm was proposed to solve the utilization problem of three-stage layout.Taking the utilization rate of sheet metal as the optimization objective,firstly,a constrained mixed integer programming model is established to segment the three-stage layout problem;secondly,the plate is divided into three partitions and the in-put sequence is sorted and optimized by greedy algorithm;finally,a hybrid positioning algorithm is used to find the optimal plate placement partition for the candidate rectangular parts.Four sets of plate data with a data scale of 3 000 rectangular pieces are used to verify the results.The results show that the proposed model has higher plate utilization and shorter running time than other algorithms.

three stages nestingmixed integer programming modelgreedy hybrid positioning algorithm

陈烨烨、李捍东

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贵州大学电气工程学院,贵州 贵阳 550025

三阶段排样 混合整数规划模型 贪心混合定位算法

国家自然科学基金资助项目

52167007

2024

机械与电子
中国机械工业联合会科技工作部 机械与电子杂志社

机械与电子

CSTPCD
影响因子:0.243
ISSN:1001-2257
年,卷(期):2024.42(3)
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