A continuous model for open pit mine planning

摘要: This paper proposes a new mathematical model for the open pit mine planning problem, based on continuous functional analysis. The traditional models this problem have been constructed by using discrete 0-1 decision variables, giving rise to large-scale combinatorial and Mixed Integer Programming (MIP) problems. Instead, we use approach which allows refined imposition of slope constraints associated with geotechnical stability. The introduced here is posed in suitable space, essentially real-valued functions that are Lipschitz given two dimensional bounded region. We derive existence results and investigate some qualitative properties solutions