A continuous framework for open pit mine planning

摘要: This paper proposes a new mathematical framework for the open pit mine planning problem, based on continuous functional analysis. The main challenge engineers is to determine sequence of nested profiles maximizing net present value mining operation. traditional models this problem have been constructed by using binary decision variables, giving rise large-scale combinatorial and Mixed Integer Programming problems. Instead, we use approach which allows refined imposition slope constraints associated with geotechnical stability. introduced here posed in suitable space, essentially real-valued functions that are Lipschitz given two dimensional bounded region. We derive existence results investigate qualitative properties solutions.