玻璃搪瓷与眼镜2024,Vol.52Issue(10) :36-40.DOI:10.13588/j.cnki.g.e.2096-7608.2024.10.006

排列组合在遍历最小误差原料批次组合中的应用

Application of Permutations and Combinations in Traversing Optimal Raw Material Batches Combinations with Minimum Errors

黄钰 刘园园 李宁 马骏 崔增路 张建华 王会勇 韩正伟 王长军
玻璃搪瓷与眼镜2024,Vol.52Issue(10) :36-40.DOI:10.13588/j.cnki.g.e.2096-7608.2024.10.006

排列组合在遍历最小误差原料批次组合中的应用

Application of Permutations and Combinations in Traversing Optimal Raw Material Batches Combinations with Minimum Errors

黄钰 1刘园园 1李宁 1马骏 1崔增路 1张建华 1王会勇 2韩正伟 2王长军2
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作者信息

  • 1. 河北视窗玻璃有限公司,廊坊 065000
  • 2. 河北视窗玻璃有限公司,廊坊 065000;河北省企业技术中心,廊坊 065000;河北省超薄电子玻璃技术创新中心,廊坊 065000;超薄硅酸盐玻璃河北省工程研究中心,廊坊 065000
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摘要

浮法玻璃原料成分的差异或波动对成品质量有显著影响.因此,在大型生产配料环节中,对同种原料有众多批次时需要合理选择批次,使原料质量分数均值最接近配方的设计值,从而降低原料批次不同对整个工序造成的不良影响.研究发现,借助排列组合的方法可快速遍历既定库存批次和指定批次数量的所有批次组合,通过对比每个批次的质量分数均值与设定值误差的绝对值之和,将误差的绝对值之和最小的批次组合作为最终混料所用的批次组合,可在选用批次组合时吸取人工计算法寻找最接近设定值的优点,快速遍历所有批次组合,从而获得全局最优解.

Abstract

In the production of float glass process,difference or fluctuation in raw material components has a significant impact on the quality of products.Therefore,when dealing with multiple batches of the same raw material during large-scale production mixing,it is necessary to select batches reasonably so that the mean percentage of raw material quality is as close as possible to the designed formula values,thereby minimizing the adverse effects caused by different raw material batches on the entire process.Through the analysis,it was found that with the help of the idea of permutations,it was possible to quickly iterate through all batch combinations of a given stock batch and a specified number of batches,and compared the sum of the mean of the percentage of substances in each batch with the absolute value of the error of the set value,and the batch combination with the smallest absolute value of error can be used as the batch combination used for the final mixture.In this method,the advantages of finding the batch combination closest to the set value are not only absorbed in the selection of batch combinations,but also quickly iterating through all batch combinations to obtain the global optimal solution was also realized.

关键词

排列组合/浮法玻璃/原料/最小误差/应用数学

Key words

permutations and combinations/float glass/raw material/minimum error/applied mathematics

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出版年

2024
玻璃搪瓷与眼镜
东华大学,中国日用玻璃协会,中国搪瓷工业协会

玻璃搪瓷与眼镜

影响因子:0.211
ISSN:2096-7608
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