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A continuous model for open pit mine planning

Please always quote using this URN:urn:nbn:de:0296-matheon-6627
  • 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

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Metadaten
Author:Felipe Alvarez, Jorge Amaya, Andreas Griewank, Nikolai Strogies
URN:urn:nbn:de:0296-matheon-6627
Referee:Rolf H. Möhring
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2010/01/14
Release Date:2010/07/01
Institute:Humboldt-Universität zu Berlin
Preprint Number:681
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