{ "background": "Process-control systems in industrial and infrastructure sectors are critical for operational efficiency, yet there is a paucity of robust methodological frameworks for evaluating their performance and forecasting efficiency gains in developing economies. ", "purpose and objectives": "This paper aims to develop and validate a methodological framework for evaluating process-control systems, with the specific objective of constructing a time-series forecasting model to quantify potential efficiency gains. ", "methodology": "A hybrid methodology integrates system diagnostics with statistical modelling. A key forecasting model, the Seasonal AutoRegressive Integrated Moving Average with eXogenous variables (SARIMAX), is employed, specified as \ (B) \ (Bˢ) \ᵈ\D yt = \ (B) \ (Bˢ) \ + \ Xt, where Xₜ represents control-system intervention variables. Model parameters are estimated using maximum likelihood, and inference is based on robust standard errors to account for heteroskedasticity. ", "findings": "The application of the model to case study data from a water treatment facility demonstrated a statistically significant forecasted efficiency gain. Specifically, the model projected a 12-18% reduction in specific energy consumption following the implementation of an optimised control protocol, with a 95% confidence interval of 10. 5%, 19. 2% for the mean gain. ", "conclusion": "The proposed methodological framework provides a rigorous, evidence-based approach for evaluating process-control systems, confirming that time-series forecasting can reliably quantify efficiency improvements in such contexts. ", "recommendations": "Adoption of this modelling framework is recommended for baseline assessments and post-intervention analysis in similar engineering projects. Further research should focus on integrating real-time data streams for adaptive forecasting. ", "key words": "process control, time-series analysis, forecasting, efficiency, SARIMAX, infrastructure", "contribution statement": "This paper presents a novel application of the SARIMAX forecasting model, integrated within a systematic evaluation methodology, to quantify engineering efficiency gains from
Uwase et al. (Sat,) studied this question.
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