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Robust Short-Term OEE Forecasting in Industry~4.0 via Topological Data Analysis

Korkut Anapa, İsmail Güzel, Ceylan Yozgatlıgil

TL;DR

The paper tackles robust short-term OEE forecasting in Industry 4.0 settings characterized by volatile, nonlinear time series. It introduces a knowledge-driven framework that decomposes OEE into trend, seasonal, and residual components and uses Topological Data Analysis to extract persistent topological features, which are fed as exogenous inputs to a SARIMAX model. Empirical results on GH2, H2, and GM2 datasets show up to 40% reductions in MAE and MAPE, with Heat Kernel features consistently providing strong predictive power. Industrial deployment in a Global Lighthouse Network facility yielded a 7.4% OEE improvement and demonstrated practical, scalable applicability. Overall, the work contributes a formal methodology for embedding topological signatures into classical stochastic forecasting to support knowledge-intensive decisions in Industry 4.0 manufacturing.

Abstract

In Industry 4.0 manufacturing environments, forecasting Overall Equipment Efficiency (OEE) is critical for data-driven operational control and predictive maintenance. However, the highly volatile and nonlinear nature of OEE time series--particularly in complex production lines and hydraulic press systems--limits the effectiveness of forecasting. This study proposes a novel informational framework that leverages Topological Data Analysis (TDA) to transform raw OEE data into structured engineering knowledge for production management. The framework models hourly OEE data from production lines and systems using persistent homology to extract large-scale topological features that characterize intrinsic operational behaviors. These features are integrated into a SARIMAX (Seasonal Autoregressive Integrated Moving Average with Exogenous Regressors) architecture, where TDA components serve as exogenous variables to capture latent temporal structures. Experimental results demonstrate forecasting accuracy improvements of at least 17% over standard seasonal benchmarks, with Heat Kernel-based features consistently identified as the most effective predictors. The proposed framework was deployed in a Global Lighthouse Network manufacturing facility, providing a new strategic layer for production management and achieving a 7.4% improvement in total OEE. This research contributes a formal methodology for embedding topological signatures into classical stochastic models to enhance decision-making in knowledge-intensive production systems.

Robust Short-Term OEE Forecasting in Industry~4.0 via Topological Data Analysis

TL;DR

The paper tackles robust short-term OEE forecasting in Industry 4.0 settings characterized by volatile, nonlinear time series. It introduces a knowledge-driven framework that decomposes OEE into trend, seasonal, and residual components and uses Topological Data Analysis to extract persistent topological features, which are fed as exogenous inputs to a SARIMAX model. Empirical results on GH2, H2, and GM2 datasets show up to 40% reductions in MAE and MAPE, with Heat Kernel features consistently providing strong predictive power. Industrial deployment in a Global Lighthouse Network facility yielded a 7.4% OEE improvement and demonstrated practical, scalable applicability. Overall, the work contributes a formal methodology for embedding topological signatures into classical stochastic forecasting to support knowledge-intensive decisions in Industry 4.0 manufacturing.

Abstract

In Industry 4.0 manufacturing environments, forecasting Overall Equipment Efficiency (OEE) is critical for data-driven operational control and predictive maintenance. However, the highly volatile and nonlinear nature of OEE time series--particularly in complex production lines and hydraulic press systems--limits the effectiveness of forecasting. This study proposes a novel informational framework that leverages Topological Data Analysis (TDA) to transform raw OEE data into structured engineering knowledge for production management. The framework models hourly OEE data from production lines and systems using persistent homology to extract large-scale topological features that characterize intrinsic operational behaviors. These features are integrated into a SARIMAX (Seasonal Autoregressive Integrated Moving Average with Exogenous Regressors) architecture, where TDA components serve as exogenous variables to capture latent temporal structures. Experimental results demonstrate forecasting accuracy improvements of at least 17% over standard seasonal benchmarks, with Heat Kernel-based features consistently identified as the most effective predictors. The proposed framework was deployed in a Global Lighthouse Network manufacturing facility, providing a new strategic layer for production management and achieving a 7.4% improvement in total OEE. This research contributes a formal methodology for embedding topological signatures into classical stochastic models to enhance decision-making in knowledge-intensive production systems.

Paper Structure

This paper contains 24 sections, 28 figures, 8 tables.

Figures (28)

  • Figure 1: Flowchart of the topological feature extraction
  • Figure 2: Flowchart of the proposed method
  • Figure 3: Production equipment used in the study: (a) GH2 system and (b) H2 hydraulic press system.
  • Figure 5: Histogram of OEE values of equipment GM2
  • Figure 7: The workflow of TDA feature extraction
  • ...and 23 more figures