A continuous model for open pit mine planning

Felipe Alvarez(falvarezdim.uchile.cl)
Jorge Amaya(jamayadim.uchile.cl)
Andreas Griewank(griewankmathematik.hu-berlin.de)
Nikolai Strogies(strogiesmathematik.hu-berlin.de)

Abstract: This paper proposes a new mathematical model for the open pit mine planning problem, based on continuous functional analysis. The traditional models for 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 a continuous approach which allows for a refined imposition of slope constraints associated with geotechnical stability. The model introduced here is posed in a suitable functional space, essentially the real-valued functions that are Lipschitz continuous on a given two dimensional bounded region. We derive existence results and investigate some qualitative properties of the solutions.

Keywords: Mine planning, continuous models, functional analysis

Category 1: Applications -- OR and Management Sciences

Category 2: Infinite Dimensional Optimization

Category 3: Global Optimization

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Entry Submitted: 09/19/2009
Entry Accepted: 09/20/2009
Entry Last Modified: 09/19/2009

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