EAAI Journal 2026 Journal Article
Ensemble modeling via entropy weight method and technique for order preference by similarity to an ideal solution for powder factor optimization toward targeted blast fragmentation
- Weizhong Chen
- Bo Liu
- Xianyang Qiu
- Wenbo Shen
- Hongjie Qiu
- Xiuzhi Shi
Accurate prediction of the powder factor (Pf) is crucial for optimizing blasting efficiency and cost in open-pit mining. To overcome the limitations of single-model approaches—such as poor stability and low interpretability—this study, utilizing 161 field datasets from the Mirador Copper Mine in Ecuador, innovatively integrates the Entropy Weight Method with the Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) to construct an objective weighted fusion framework for seven machine learning (ML) models. Furthermore, it creatively combines SHapley Additive exPlanations (SHAP) with three-dimensional (3D) partial dependence plots (PDP) to decode the complex nonlinear interaction mechanisms among key features influencing the powder factor. The results show that the proposed model achieved superior performance with a coefficient of determination (R2) of 0. 921, a mean squared error (MSE) of 0. 003, and a mean absolute error (MAE) of 0. 046. SHAP analysis identified the 80% passing fragment size (D80), the burden-to-diameter ratio (B/D), rock density (R0), uniaxial compressive strength (UCS), and elastic modulus (E) as the most influential features, collectively accounting for 78. 65% of the total contribution. Three-dimensional PDP further revealed key nonlinear interactions: such as Pf exceeds 0. 65 when D80 > 0. 6 and B/D > 35, whereas it stabilizes between 0. 35 and 0. 45 when D80 < 0. 4. Field trials confirmed the system's practical applicability, with relative errors of only 3. 1%–5. 24% between target and measured fragmentation. This study offers a transparent, data-driven artificial intelligence (AI)methodology for Pf prediction applicable to geologically complex open-pit mines, enhancing both economic and safety outcomes.