What is the optimal cutoff surface for ore bodies with more than one mineral? |
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| Affiliation: | 1. Department of Economics, Faculty of Economics and Business, University of Chile, Diagonal Paraguay 257, of. 1305 C, Santiago, Chile;2. SKEMA Business School, Université Côte d''Azur, Lille, France;3. Wm Michael Barnes ''64 Department of Industrial & Systems Engineering, Texas A&M University, ETB 4029, College Station, TX 77843-3131, United States |
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| Abstract: | In mine planning problems, cutoff grade optimization defines a threshold at every time period such that material above this value is processed, and the rest is considered waste. In orebodies with multiple minerals, which occur in practice, the natural extension is to consider a cutoff surface. We show that in two dimensions the optimal solution is a line, and in n dimensions it is a hyperplane. |
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| Keywords: | Mining Cutoff grade Multiple minerals Calculus of variations |
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