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Optimizing Long-Term Production Plans in Underground and Open-Pit Copper Mines

Rafael Epstein, Marcel Goic, Andrés Weintraub, Jaime Catalán, Pablo Santibáñez, Rodolfo Urrutia, Raúl Cancino, Sergio Gaete, Augusto Aguayo, Felipe Caro

Operations Research · 2012 · Volume 60 · Issue 1

DOI: 10.1287/opre.1110.1003

Abstract

We present a methodology for long-term mine planning based on a general capacitated multicommodity network flow formulation. It considers underground and open-pit ore deposits sharing multiple downstream processing plants over a long horizon. The purpose of the model is to optimize several mines in an integrated fashion, but real size instances are hard to solve due to the combinatorial nature of the problem. We tackle this by solving the relaxation of a tight linear formulation, and we round the resulting near-integer solution with a customized procedure. The model has been implemented at Codelco, the largest copper producer in the world. Since 2001, the system has been used on a regular basis and has increased the net present value of the production plan for a single mine by 5%. Moreover, integrating multiple mines provided an additional increase of 3%. The system has allowed planners to evaluate more scenarios. In particular, the model was used to study the option of delaying by four years the conversion of Chiquicamata, Codelco's largest open-pit mine, to underground operations.

Keywords

industries, mining/metals, networks/graphs, multicommodity, linear programming, large-scale systems

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