基于BHM-OLR-RF协同建模的印品质量评价研究

王凯, 张彦

包装工程(技术栏目) ›› 2026, Vol. 47 ›› Issue (5) : 236-244.

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PDF(636 KB)
包装工程(技术栏目) ›› 2026, Vol. 47 ›› Issue (5) : 236-244. DOI: 10.19554/j.cnki.1001-3563.2026.05.026
自动化与智能化技术

基于BHM-OLR-RF协同建模的印品质量评价研究

  • 王凯*, 张彦
作者信息 +

Print Quality Evaluation Based on BHM-OLR-RF Synergistic Modeling

  • WANG Kai*, ZHANG Yan
Author information +
文章历史 +

摘要

目的 旨在克服传统印刷质量评价中主观性偏差与指标权重设定争议,构建一套客观、可量化的多维度评价体系,为印刷工艺参数的精准调控与优化提供科学依据与决策支持。方法 基于36个实际印刷品样本数据(包含实地密度、相对反差、印刷光泽度、网点扩大、叠印率等指标),采用五级标度法定义质量等级。采用有序Logistic回归(OLR,α=0.05,最大迭代次数=500)进行质量等级分类并量化参数影响(计算回归系数β、优势比OR及其95%置信区间);利用随机森林(RF,树数=500,最大深度=10)评估特征重要性(基于Gini不纯度减少量);构建贝叶斯层次模型(BHM,MCMC采样3 000次,预热1 000次,链数=4)以捕捉非线性交互效应及样本异质性。整合OLR、RF与BHM构建协同模型,并通过准确率、AUC及综合质量评分(CQS)进行模型验证。结果 OLR确定实地密度(β=0.82, OR=2.27, P<0.001)、相对反差(β=0.93, OR=2.53, P<0.001)和网点扩大(β=0.57, OR=1.77, P<0.001)为核心正向预测因子。随机森林特征重要性分析结果显示,实地密度(重要性权重0.31)对印刷质量影响最为显著,其次为相对反差(0.25)与网点扩大(0.22),三者累计贡献度达78%,进一步验证了其在质量控制中的核心地位。BHM证实了实地密度(后验均值为0.80, 95% HDI [0.65, 0.95])和相对反差(后验均值为0.91, 95% HDI [0.73, 1.09])的主效应及其显著的交互作用(β=0.42)。协同模型的整体准确率达到84.7%,较单一OLR模型(78.3%)提升了6.4%,且对优秀等级样本表现出优异的区分能力(AUC=0.88)。综合质量排名与CQS呈显著正相关(r≈0.82),同时更侧重于参数间的协同效应。结论 BHM-OLR-RF协同框架融合了多种模型的优势,显著提升了印刷质量评价的客观性、准确性与可解释性,精准量化了核心参数的影响及其重要性,有效解决了传统评价方法中存在的主观性与权重争议问题,为印刷工艺的多参数协同优化及力学性能改进提供了科学依据与决策支持。

Abstract

To address subjectivity and indicator weighting controversy in traditional print quality evaluation, the work aims to establish an objective and quantifiable multi-dimensional evaluation system, providing a scientific basis and decision-making support for the precise adjustment and optimization of printing process parameters. Based on the data from 36 print samples (including key indicators such as solid density, relative contrast, print gloss, dot gain, trapping rate, etc.), the quality was classified with a five-level scale. Ordinal Logistic Regression (OLR, α=0.05, max iterations=500) was adopted to classify quality grades and quantify parameter impacts (β, OR, 95% CI). The Random Forest (RF, trees=500, max depth=10) was employed to assess the feature importance (Gini decrease). A Bayesian Hierarchical Model (BHM, MCMC samples=3 000, warmup=1 000, chains=4) was constructed to capture non-linear interactions and heterogeneity. The OLR-RF-BHM model was established and validated via accuracy, AUC, and comprehensive quality ranking (CQS). OLR identified solid density (β=0.82, OR=2.27, P<0.001), relative contrast (β=0.93, OR=2.53, P<0.001), and dot gain (β=0.57, OR=1.77, P<0.001) as core positive predictors. RF importance analysis indicated that solid density (importance weight of 0.31) had the most significant impact on print quality, followed by relative contrast (0.25) and dot gain (0.22). The cumulative contribution of these three factors reached 78%. BHM confirmed main effects of solid density (post. mean 0.80, 95% HDI [0.65, 0.95]) and relative contrast (post. mean 0.91, 95% HDI [0.73, 1.09]) and their significant interaction (β=0.42). The synergistic model achieved 84.7% accuracy, a 6.4% improvement over OLR alone (78.3%), with superior discrimination for excellent grade (AUC=0.88). Comprehensive ranking correlated significantly with CQS (r≈0.82) but emphasized parameter synergy. The BHM-OLR-RF synergistic framework integrates model strengths, significantly enhancing objectivity, accuracy, and interpretability of print quality evaluation. It precisely quantifies core parameter impacts and importance, resolving subjectivity and weighting issues in traditional methods and providing a scientific basis and decision support for multi-parameter process optimization and mechanical improvement.

关键词

印刷质量评价 / 贝叶斯层次模型 / 有序 Logistic 回归 / 随机森林

Key words

print quality evaluation / Bayesian Hierarchical Model (BHM) / Ordinal Logistic Regression (OLR) / random forest

引用本文

导出引用
王凯, 张彦. 基于BHM-OLR-RF协同建模的印品质量评价研究[J]. 包装工程. 2026, 47(5): 236-244 https://doi.org/10.19554/j.cnki.1001-3563.2026.05.026
WANG Kai, ZHANG Yan. Print Quality Evaluation Based on BHM-OLR-RF Synergistic Modeling[J]. Packaging Engineering. 2026, 47(5): 236-244 https://doi.org/10.19554/j.cnki.1001-3563.2026.05.026
中图分类号: TS805   

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基金

温州市科技项目(2025R0266); 浙江省教代会工会研究课题(ZJJYGHYB2025050)

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