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
Author: | Felipe Alvarez, Jorge Amaya, Andreas Griewank, Nikolai Strogies |
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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 |