Next Article in Journal
Basic Characteristics of Coal Gangue in a Small-Scale Mining Site and Risk Assessment of Radioactive Elements for the Surrounding Soils
Next Article in Special Issue
Experimental Uncertainty Analysis for the Particle Size Distribution for Better Understanding of Batch Grinding Process
Previous Article in Journal
The Efficient Improvement of Original Magnetite in Iron Ore Reduction Reaction in Magnetization Roasting Process and Mechanism Analysis by In Situ and Continuous Image Capture
Previous Article in Special Issue
CFD Modeling and Simulation of the Hydrodynamics Characteristics of Coarse Coal Particles in a 3D Liquid-Solid Fluidized Bed

Toward the Operability of Flotation Systems under Uncertainty

Escuela de Ingeniería Química, Pontificia Universidad Católica de Valparaíso, Valparaíso 2340000, Chile
Unidad de Equipamiento Científico (Maini), Universidad Católica del Norte, Antofagasta 1240000, Chile
Departamento de Ingeniería Metalúrgica y Minas, Universidad Católica del Norte, Antofagasta 1240000, Chile
Departamento de Ingeniería Química y Procesos de Minerales, Universidad de Antofagasta, Antofagasta 1240000, Chile
Author to whom correspondence should be addressed.
Academic Editor: Lev Filippov
Minerals 2021, 11(6), 646;
Received: 31 March 2021 / Revised: 14 June 2021 / Accepted: 15 June 2021 / Published: 18 June 2021
The purpose of this work was to analyze the requirements for the operational feasibility of flotation systems as well as the effects of the selection of flotation equipment and metal price uncertainty. A procedure based on mathematical optimization and uncertainty analysis was implemented to achieve this aim. The optimization included flotation and grinding stages operating under uncertainty, whereas the uncertainty analysis considered the Monte Carlo method. The results obtained indicate a small number of optimal flotation structures from the economic point of view. Considering the relationship between the economic performance and metallurgical parameters, we established that these structures exhibited favorable conditions for operating under uncertainty. Such conditions were proportional to the percentages representing each structure in the optimal set; i.e., a higher percentage of a structure implied a greater capacity to face operational and metal price changes. The set of optimal structures included configurations implementing cell banks, flotation columns, or both, indicating the influence of the flotation equipment type on the optimal structures. We also established the influence of metal price on the number of optimal structures. Therefore, the results obtained allowed us to separate the design of the flotation systems into two stages: first, a set of optimal structures exhibiting favorable conditions for facing uncertainty is determined; second, the optimal operation is established via resilience/flexibility approaches after the previous determination of the equipment design parameters. View Full-Text
Keywords: design; flotation systems; uncertainty analysis; selection of equipment; grinding design; flotation systems; uncertainty analysis; selection of equipment; grinding
Show Figures

Figure 1

MDPI and ACS Style

Lucay, F.A.; Acosta-Flores, R.; Gálvez, E.D.; Cisternas, L.A. Toward the Operability of Flotation Systems under Uncertainty. Minerals 2021, 11, 646.

AMA Style

Lucay FA, Acosta-Flores R, Gálvez ED, Cisternas LA. Toward the Operability of Flotation Systems under Uncertainty. Minerals. 2021; 11(6):646.

Chicago/Turabian Style

Lucay, Freddy A., Renato Acosta-Flores, Edelmira D. Gálvez, and Luis A. Cisternas 2021. "Toward the Operability of Flotation Systems under Uncertainty" Minerals 11, no. 6: 646.

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Back to TopTop