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A mathematical model for the scheduling and definition of mining cuts in short-term mine planning

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Abstract

Short-term open pit planners have to deal with the task of designing a feasible production schedule. This schedule must fulfill processing, mining and operational constraints and, at the same time, maximize the profit or total metal produced. It also must comply with the long-term production schedule and must incorporate new blasthole sampling data. This task is performed with little support of optimization tools, and therefore, there is a risk of generating suboptimal results. Several approaches have been proposed in the literature to deal with these issues, either generating operational mining cuts or obtaining a mining schedule to fulfill the short-term constraints. However, an integrated approach has remained an open challenge. In this paper, we propose an optimization model to tackle the operational and scheduling issues simultaneously. The model defines the mining cut configuration and the production schedule in the short-term. It is based on representative Selective Mining Units (SMUs) as the potential locations of the mining cuts and then each SMU is assigned to one of these locations. We tested the model with a real case study, and it was able to generate mining cuts and an extraction sequence fulfilling mining, processing and operational constraints, as well as access restrictions given by the ramp location in each bench. The mining cut design captured most of the profit, and thus it can be used as a guide for the short-term mine planner. The location of the representative SMUs and the precedence definition both impact the mining cut configuration, and future research could address how to incorporate different operational considerations and strategies on the location of these representatives.

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Acknowledgements

This work was (partially) funded by the National Agency for Research and Development (ANID) through PIA Project AFB180004 and Scholarship Program Doctorado Nacional 2018 - 2118155.

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Correspondence to Gonzalo Nelis.

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Nelis, G., Morales, N. A mathematical model for the scheduling and definition of mining cuts in short-term mine planning. Optim Eng 23, 233–257 (2022). https://doi.org/10.1007/s11081-020-09580-1

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  • DOI: https://doi.org/10.1007/s11081-020-09580-1

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