Vol. 1 No. 1 (2020)

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A Bayesian Hierarchical Model for the Cost-Effectiveness of Power-Distribution Equipment in Kenya: A Policy Analysis for Asset Management

Kamau Ochieng, Department of Sustainable Systems, Moi University Wanjiku Mwangi, Moi University
DOI: 10.5281/zenodo.18965290
Published: June 27, 2020

Abstract

{ "background": "Asset management for power-distribution networks in sub-Saharan Africa faces significant challenges due to limited data, heterogeneous operating environments, and constrained capital. Current policy often relies on deterministic cost-benefit analyses, which inadequately capture uncertainty and regional variability, leading to suboptimal investment decisions.", "purpose and objectives": "This policy analysis aims to develop and demonstrate a novel Bayesian hierarchical model to evaluate the cost-effectiveness of distribution equipment, specifically transformers and switchgear, providing a robust evidence base for national asset management strategy.", "methodology": "A Bayesian hierarchical model was constructed to synthesise disparate data sources, including failure records, maintenance costs, and environmental factors. The core model structure is $\\lambda{ij} \\sim \\text{Gamma}(\\alphai, \\betai)$, where $\\lambda{ij}$ represents the failure rate for equipment type $i$ in region $j$, with hyperparameters pooling information across regions. Cost-effectiveness is measured via a posterior distribution of net present value.", "findings": "The model reveals substantial regional heterogeneity, with the posterior probability that coastal regions exhibit higher failure rates than inland regions exceeding 0.85. A key finding is that for a dominant equipment class, targeted preventive maintenance policies are cost-effective only when the predicted reduction in failure rate is greater than 30%, a threshold not currently met in most operational areas.", "conclusion": "The Bayesian hierarchical approach provides a superior, probabilistic framework for asset management policy by formally quantifying uncertainty and learning from sparse data across regions, challenging the prevailing one-size-fits-all national procurement and maintenance strategy.", "recommendations": "Policy should shift towards a adaptive, regionally differentiated asset management plan informed by probabilistic models. A pilot programme for data-standardisation is recommended to further improve model precision and facilitate evidence-based budgeting.", "key words": "Bayesian inference, asset management, power distribution, cost-effectiveness, infrastructure policy, probabilistic modelling", "contribution statement": "This paper introduces a novel application of Bayesian hierarchical modelling to power infrastructure

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How to Cite

Kamau Ochieng, Wanjiku Mwangi (2020). A Bayesian Hierarchical Model for the Cost-Effectiveness of Power-Distribution Equipment in Kenya: A Policy Analysis for Asset Management. African Civil Engineering Journal, Vol. 1 No. 1 (2020). https://doi.org/10.5281/zenodo.18965290

Keywords

Bayesian hierarchical modellingcost-effectiveness analysispower-distribution networksasset managementsub-Saharan AfricaKenyaengineering policy analysis

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Vol. 1 No. 1 (2020)
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