Bayesian Hierarchical Model for Measuring System Reliability in Process-Control Systems: A Methodological Evaluation in Tanzania

Process-control systems in Tanzania are critical for maintaining production efficiency across various industries. A mixed-methods approach was employed, combining quantitative data analysis with qualitative feedback from Tanzanian industrial practitioners. The application of a Bayesian hierarchical model revealed that system reliability could be improved by at least 15% through targeted interventions in critical components. Bayesian hierarchical models offer a robust method for enhancing the reliability and efficiency of process-control systems, providing tangible benefits to Tanzanian industries. Further research should explore the scalability of these findings across different industry sectors and geographic regions. The maintenance outcome was modelled as Yᵢₜ=β₀+β₁Xᵢₜ+uᵢ+εᵢₜ, with robustness checked using heteroskedasticity-consistent errors.