caa a22 4500 445839686 CHVBK 20180317145340.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s00186-010-0332-3 doi (NATIONALLICENCE)springer-10.1007/s00186-010-0332-3 A continuous framework for open pit mine planning [Elektronische Daten] [Felipe Alvarez, Jorge Amaya, Andreas Griewank, Nikolai Strogies] This paper proposes a new mathematical framework for the open pit mine planning problem, based on continuous functional analysis. The main challenge for engineers is to determine a sequence of nested profiles maximizing the net present value of the mining operation. The traditional models for this problem have been constructed by using binary decision variables, giving rise to large-scale combinatorial and Mixed Integer Programming problems. Instead, we use a continuous approach which allows for a refined imposition of slope constraints associated with geotechnical stability. The framework 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 qualitative properties of the solutions. Springer-Verlag, 2010 Mine planning nationallicence Continuous optimization nationallicence Calculus of variations nationallicence Functional analysis nationallicence Alvarez Felipe Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático (CNRS UMI 2807), Universidad de Chile, Santiago, Chili aut Amaya Jorge Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático (CNRS UMI 2807), Universidad de Chile, Santiago, Chili aut Griewank Andreas DFG Research Center Matheon "Mathematics for Key Technologies”, Berlin, Germany aut Strogies Nikolai Humboldt Universität zu Berlin, Berlin, Germany aut Mathematical Methods of Operations Research Springer-Verlag 73/1(2011-02-01), 29-54 1432-2994 73:1<29 2011 73 186 https://doi.org/10.1007/s00186-010-0332-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00186-010-0332-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Alvarez Felipe Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático (CNRS UMI 2807), Universidad de Chile, Santiago, Chili aut NATIONALLICENCE 700 1- Amaya Jorge Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático (CNRS UMI 2807), Universidad de Chile, Santiago, Chili aut NATIONALLICENCE 700 1- Griewank Andreas DFG Research Center Matheon "Mathematics for Key Technologies”, Berlin, Germany aut NATIONALLICENCE 700 1- Strogies Nikolai Humboldt Universität zu Berlin, Berlin, Germany aut NATIONALLICENCE 773 0- Mathematical Methods of Operations Research Springer-Verlag 73/1(2011-02-01), 29-54 1432-2994 73:1<29 2011 73 186 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer