Journal Design Engineering Masthead
African Civil Engineering Journal | 21 May 2023

A Time-Series Forecasting Model for Yield Improvement in Ugandan Manufacturing Systems

A Methodological Evaluation
J, o, s, e, p, h, K, i, g, o, z, i, ,, A, i, s, h, a, N, a, l, w, o, g, a, ,, P, a, t, r, i, c, i, a, M, b, a, b, a, z, i
Time-series forecastingYield improvementManufacturing systemsMethodological evaluation
SARIMAX model integrates seasonal patterns with operational exogenous variables.
Methodology reduces forecast error by ~18% versus conventional ARIMA approaches.
Framework designed for high-variability, low-data-density manufacturing environments.
Provides statistically sound forecasting for resource-constrained settings.

Abstract

{ "background": "Manufacturing systems in developing economies often lack robust, data-driven methodologies for continuous yield improvement. Existing forecasting approaches are frequently ill-suited to the high-variability, low-data-density environments typical of such settings, leading to suboptimal production planning and resource allocation.", "purpose and objectives": "This article presents a methodological evaluation of a novel time-series forecasting model designed specifically to measure and predict yield improvements in manufacturing systems. The objective is to provide a formalised, adaptable framework for plant engineers to enhance production efficiency through more accurate yield projections.", "methodology": "The proposed methodology integrates a Seasonal AutoRegressive Integrated Moving Average (SARIMA) model with exogenous variables (SARIMAX) to account for operational factors. The core model is defined as $\\Phip(B)\\PhiP(B^s)\ abla^d\ ablas^D yt = \\delta + \\Thetaq(B)\\ThetaQ(B^s)\\epsilont + \\sum{i=1}^k \\betai x{i,t}$, where $yt$ is the yield series and $x{i,t}$ are exogenous regressors. Model parameters were estimated using maximum likelihood, with inference based on robust standard errors to mitigate heteroscedasticity.", "findings": "The methodological evaluation, applied to a case study, demonstrated that the integrated SARIMAX model reduced one-step-ahead forecast error by approximately 18% compared to a standard ARIMA benchmark. Diagnostic checks confirmed model adequacy, with residual autocorrelation plots showing no significant structure.", "conclusion": "The evaluated methodology provides a statistically sound and operationally relevant framework for yield forecasting in resource-constrained manufacturing environments. It offers a substantial improvement over conventional, less adaptive time-series models.", "recommendations": "Manufacturing plant engineers should adopt this integrated modelling approach, incorporating both temporal patterns and contextual operational data. Further research should focus on automating model selection and integrating real-time data streams for dynamic updating.", "key words": "Time-series forecasting,