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2026, 02, v.43 56-65
Predicting the remaining useful life of ion etching systems using a spatiotemporal graph convolutional network
Email: jianxu@scuec.edu.cn;
DOI: 10.16791/j.cnki.sjg.2026.02.007
Abstract:

[Objective] In semiconductor manufacturing, the remaining useful life(RUL) of equipment must be accurately predicted to ensure production efficiency and minimize economic losses. However, this task is fraught with substantial challenges. The heterogeneity of multisource sensor data, which encompass various signal types and measurement scales, poses a complex data integration problem. Meanwhile, the scarcity of key failure samples makes it arduous to train reliable prediction models. Traditional prediction methods, which are based on single-dimensional modeling, struggle to capture the intricate physical coupling relationships among different components of the equipment. Moreover, they cannot adequately reproduce the evolution laws of cross-temporal and spatial states during equipment degradation. Hence, these methods have limited prediction accuracy, lack interpretability, and cannot meet the high demands of modern semiconductor manufacturing processes. This study addresses these issues by developing a spatiotemporal joint modeling method that integrates a temporal convolutional network(TCN) with a graph convolutional network(GCN). The joint modeling aims to achieve an in-depth multiscale analysis of the dynamic degradation laws of equipment. [Methods] First, a learnable GCN is constructed. Based on the physical topology of sensors installed on the equipment, the GCN is designed to model the spatial relationships among different sensor nodes. Through a multi-order neighborhood information aggregation mechanism, the GCN effectively extracts the hierarchical spatial correlation features of the equipment. This process allows the model to understand the interactions among different components and their influences on each other in the spatial domain. Next, the TCN with a hierarchical dilated convolution architecture plays a vital role in handling time-series data. The dilated convolution layers capture the long-term trend features of equipment degradation without sacrificing the ability to detect local fluctuation patterns. By employing stacks of multiple layers with different dilation rates, the TCN analyzes the time-series data at various time scales to reveal hidden patterns and trends in equipment degradation. Finally, a spatiotemporal interaction module deeply fuses the spatial and temporal feature data extracted by the GCN and TCN. This integration enables the model to comprehensively examine the spatial and temporal aspects of the state of the equipment, facilitating accurate regression prediction of the RUL. [Results] The performance of the proposed model was evaluated via rigorous experiments on the dataset of an industrial ion etching system. The results demonstrated that the proposed model performed remarkably better than traditional models. Specifically, in terms of the root mean square error(RMSE) prediction index, the proposed model achieved a reduction of 20.6% compared to the long short-term memory(LSTM) model. The LSTM model, which is widely used in time-series prediction, often struggles in capturing complex spatial relationships. In contrast, the proposed model integrating the GCN effectively overcomes this limitation. Compared to that of a convolutional neural network(CNN), the RMSE of the proposed model was lower by 23.3%. CNNs are mainly designed for extracting spatial features in images, and their application in equipment RUL prediction without considering the unique spatiotemporal characteristics of equipment data leads to suboptimal performance. The specialized spatiotemporal architecture of the proposed model provides a more suitable solution. Compared to that of the multilayer perceptron(MLP), the RMSE of the proposed model was lower by 29.9%. The simple fully connected structure of the MLP is incapable of effectively modeling spatial and temporal dependencies, highlighting the advantage of the architecture of the proposed model. Additionally, when compared with those of the classical TCN and the Transformer network, the RMSE of the proposed model was lower by 11.0% and 13.7%, respectively, further validating the effectiveness of the joint spatiotemporal modeling approach. [Conclusions] This study not only provides an innovative and effective method for the predictive maintenance of industrial equipment but also has far-reaching implications for the semiconductor manufacturing industry. Enabling highly accurate RUL predictions, it helps enterprises optimize their maintenance strategies. Such optimization can substantially reduce unplanned downtime losses during wafer manufacturing, improving production efficiency and reducing costs. Furthermore, it paves the way for shifting the paradigm of intelligent manufacturing from a reactive post-failure response approach to a proactive pre-failure intervention strategy. This transition can enhance the overall reliability and competitiveness of the semiconductor manufacturing industry, driving it toward a more intelligent and sustainable future.

References

[1]袁增威.基于Transformer和迁移学习的离子磨蚀故障失效预测研究[D].哈尔滨:哈尔滨工业大学,2024.YUAN Z W.Research on failure prognosis and prediction of ion mill etching processes based on Transformer and transfer learning[D].Harbin:Harbin Institute of Technology,2024.(in Chinese)

[2]陈俊英,席月芸,徐琳,等.基于MLP集成随机子空间决策树的航空发动机剩余使用寿命预测[J].航空发动机,2024,50(6):81-87.CHEN J Y,XI Y Y,XU L,et al.Remaining useful life prediction of aeroengines based on MLP integrated random subspace decision trees[J].Aeroengine,2024,50(6):81-87.(in Chinese)

[3]邴绍强,王振,段鸿杰,等.基于循环神经网络的抽油杆柱寿命预测新方法[J].电脑知识与技术,2019,15(35):178-182,187.BING S Q,WANG Z,DUAN H J,et al.Prediction model of rod string anomaly in pumping well[J].Computer Knowledge and Technology,2019,15(35):178-182,187.(in Chinese)

[4]程俊涵,王书礼,蔡志远.基于AE-LSTM的锂电池剩余使用寿命预测[J].电器与能效管理技术,2023(9):69-75.CHEN J H,WANG S L,CAI Z Y.Prediction of remaining service life of lithium battery based on AE-LSTM[J].Electrical&Energy Management Technology,2023(9):69-75.(in Chinese)

[5]张建良,韩涛,季瑞松.基于CNN-Bi LSTM-Transformer的舰船中压直流全电推进系统故障诊断设计[J].实验技术与管理,2025,42(1):11-18.ZHANG J L,HAN T,JI R S.Design of fault diagnosis for medium-voltage DC full-electric propulsion systems in vessels based on CNN-Bi LSTM-Transformer[J].Experimental Technology and Management,2025,42(1):11-18.(in Chinese)

[6]YUAN Z W,WANG R.A squeeze-and-excitation and transformer based model for remaining useful life prediction in ion mill etching process[C]//2023 IEEE 19th International Conference on Automation Science and Engineering.New York,NY,2023:1-6.

[7]HSU C Y,LU Y W,YAN J H.Temporal convolution-based long-short term memory network with attention mechanism for remaining useful life prediction[J].IEEE Transactions on Semiconductor Manufacturing,2022,35(2):220-228.

[8]LIU C D,ZHANG L X,LI J Y,et al.Two-stage transfer learning for fault prognosis of ion mill etching process[J].IEEE Transactions on Semiconductor Manufacturing,2021,34(2):185-193.

[9]KIPF T N,WELLING M.Semi-supervised classification with graph convolutional networks[Z/OL].(2017-02-22)[2025-05-30].https://arxiv.org/abs/1609.02907.

[10]LIANG P F,LI Y,WANG B,et al.Remaining useful life prediction via a deep adaptive transformer framework enhanced by graph attention network[J].International Journal of Fatigue,2023,174:107722.

[11]王泽潇,石易达,郑文杰,等.基于健康状态划分与图卷积神经网络的轴承剩余使用寿命预测方法研究[J].机械设计与研究,2025,41(3):100-105.WANG Z X,SHI Y D,ZHENG W J,et al.Research on the prediction of remaining useful life of bearings based on health state segmentation and graph convolutional network[J].Machine Design and Research,2025,41(3):100-105.(in Chinese)

[12]SRIVASTAVA N,HINTON G,KRIZHEVSKY A,et al.Dropout:A simple way to prevent neural networks from overfitting[J].The Journal of Machine Learning Research,2014,15(56):1929-1958.

[13]XU J,LI Z S,DU B W,et al.Reluplex made more practical:Leaky Re LU[C]//2020 IEEE Symposium on Computers and Communications.New York,NY,2020:1-7.

[14]BAI S J,KOLTER JZ,KOLTUN V.An empirical evaluation of generic convolutional and recurrent networks for sequence modeling[Z/OL].(2018-03-04)[2025-05-30].https://arxiv.org/abs/1803.01271.

[15]TV V,GUPTA P,MALHOTRA P,et al.Recurrent neural networks for online remaining useful life estimation in ion mill etching system[C]//Proceedings of the Annual Conference of the PHM Society 2018.Fort Worth,TX:The Prognostics and Health Management Society,2018:55410389.

[16]WU S M,JIANG Y C,LUO H,et al.Remaining useful life prediction for ion etching machine cooling system using deep recurrent neural network-based approaches[J].Control Engineering Practice,2021,109:104748.

(1)The Prognostics and Health Management Society. Annual Conference of the PHM Society. https://phmsociety.org/conference/annual-conference-of-the-phm-society/.

(1)The Linux Foundation. Reduce LROn Plateau. https://pytorch.org/docs/stable/generated/torch.optim.lr_scheduler.Reduce L ROn Plateau.html.

Basic Information:

DOI:10.16791/j.cnki.sjg.2026.02.007

China Classification Code:TN305.7

Citation Information:

[1]ZHENG Liyang,XU Jian,WU Jia ,et al.Predicting the remaining useful life of ion etching systems using a spatiotemporal graph convolutional network[J].Experimental Technology and Management,2026,43(02):56-65.DOI:10.16791/j.cnki.sjg.2026.02.007.

Fund Information:

中南民族大学实验室研究项目(SYYJ2025001); 国家自然科学基金项目(12075322)

Received:  

2025-06-04

Received Year:  

2025

Accepted:  

2025-10-20

Accepted Year:  

2025

Revised:  

2025-09-18

Review Duration(Year):  

1

Published:  

2026-02-27

Publication Date:  

2026-02-27

Online:  

2026-02-27

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