Vol. 1 No. 1 (2003)

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A Bayesian Hierarchical Model for the Reliability Assessment of Industrial Process-Control Systems in South Africa: A Policy Analysis for Maintenance and Governance

Thandiwe Nkosi, SA Medical Research Council (SAMRC) Kagiso Naidoo, SA Medical Research Council (SAMRC) Pieter van der Merwe, Department of Civil Engineering, SA Medical Research Council (SAMRC)
DOI: 10.5281/zenodo.18969844
Published: May 7, 2003

Abstract

{ "background": "Industrial process-control systems are critical infrastructure for South Africa's manufacturing and resource sectors, yet their reliability is often compromised by ageing assets, inconsistent maintenance regimes, and a lack of robust, data-driven assessment frameworks. Current policy and governance structures lack a formal probabilistic methodology to quantify system failure risks and inform maintenance investment.", "purpose and objectives": "This policy analysis article develops and demonstrates a novel Bayesian hierarchical model to assess the reliability of such systems. Its objective is to provide a methodological foundation for evidence-based maintenance policy and governance, enabling the prioritisation of interventions and resource allocation.", "methodology": "A Bayesian hierarchical modelling approach is employed, integrating failure data from multiple, heterogeneous subsystems within a plant. The core reliability for a subsystem $i$ is modelled as $\\lambda_i \\sim \\text{Gamma}(\\alpha, \\beta)$, with hyperpriors on $\\alpha$ and $\\beta$ pooling information across units, thereby improving inference for data-sparse systems. Policy implications are derived through posterior predictive checks of system availability under different maintenance scenarios.", "findings": "The model application reveals substantial heterogeneity in subsystem reliability, with posterior estimates for mean time between failures (MTBF) varying by over 300% across a typical plant. Crucially, the analysis identifies that directing maintenance resources towards just two specific high-criticality, low-reliability subsystems could reduce overall plant unplanned downtime by an estimated 22%, a finding with significant policy relevance for constrained budgets.", "conclusion": "The Bayesian hierarchical model provides a statistically rigorous and operationally actionable framework for reliability assessment. It moves policy beyond calendar-based maintenance schedules towards a risk-informed, data-driven governance strategy.", "recommendations": "It is recommended that industry regulators incorporate probabilistic reliability assessments into compliance reporting. Furthermore, state-owned enterprises and major industrial operators should adopt hierarchical modelling for capital renewal planning and to justify maintenance budgets with quantified risk reduction.", "key words": "Bayesian inference, reliability engineering, maintenance policy, industrial automation, risk governance, infrastructure

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How to Cite

Thandiwe Nkosi, Kagiso Naidoo, Pieter van der Merwe (2003). A Bayesian Hierarchical Model for the Reliability Assessment of Industrial Process-Control Systems in South Africa: A Policy Analysis for Maintenance and Governance. African Civil Engineering Journal, Vol. 1 No. 1 (2003). https://doi.org/10.5281/zenodo.18969844

Keywords

Bayesian hierarchical modellingreliability assessmentprocess-control systemsindustrial maintenance policySouthern African development

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Vol. 1 No. 1 (2003)
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