Open pit mine planning with degradation due to stockpiling
•We extend a linear-integer mine-planning model that considers stockpiling.•We account for degradation within the stockpile(s).•We compare results from this model on a data set from an operational mine.•Degradation decreases the value that a stockpile provides by as much as 69%. The open pit mine pr...
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| Published in | Computers & operations research Vol. 115; p. 104589 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Elsevier Ltd
01.03.2020
Pergamon Press Inc |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0305-0548 1873-765X 0305-0548 |
| DOI | 10.1016/j.cor.2018.11.009 |
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| Abstract | •We extend a linear-integer mine-planning model that considers stockpiling.•We account for degradation within the stockpile(s).•We compare results from this model on a data set from an operational mine.•Degradation decreases the value that a stockpile provides by as much as 69%.
The open pit mine production scheduling with stockpiling (OPMPS+S) problem decides when to extract each notional, three-dimensional block of ore and/or waste in a deposit. In addition, this problem determines whether to send each block to a processing plant, to a stockpile, or to a waste dump. The objective function maximizes net present value, subject to constraints such as precedence, and capacities for mining and processing. Because the material within the stockpile is exposed to the environment, time-dependent changes may occur in the material’s properties, which results in increased processing costs or, equivalently, a net loss of value.
We extend a linear-integer mine-planning model that considers stockpiling to account for degradation within the stockpile(s). We compare results from this model on a data set from an operational mine to more commonly used, yet less detailed, models that provide lower and upper bounds on the net present value. We show that the material degradation within a stockpile has an impact on the value that a stockpile provides. Specifically, by considering 5% and 10% annual degradation for our instances, we observe that the value that a stockpile provides decreases by 37% and 69%, respectively, relative to the computed value of a stockpile without degradation. |
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| AbstractList | •We extend a linear-integer mine-planning model that considers stockpiling.•We account for degradation within the stockpile(s).•We compare results from this model on a data set from an operational mine.•Degradation decreases the value that a stockpile provides by as much as 69%.
The open pit mine production scheduling with stockpiling (OPMPS+S) problem decides when to extract each notional, three-dimensional block of ore and/or waste in a deposit. In addition, this problem determines whether to send each block to a processing plant, to a stockpile, or to a waste dump. The objective function maximizes net present value, subject to constraints such as precedence, and capacities for mining and processing. Because the material within the stockpile is exposed to the environment, time-dependent changes may occur in the material’s properties, which results in increased processing costs or, equivalently, a net loss of value.
We extend a linear-integer mine-planning model that considers stockpiling to account for degradation within the stockpile(s). We compare results from this model on a data set from an operational mine to more commonly used, yet less detailed, models that provide lower and upper bounds on the net present value. We show that the material degradation within a stockpile has an impact on the value that a stockpile provides. Specifically, by considering 5% and 10% annual degradation for our instances, we observe that the value that a stockpile provides decreases by 37% and 69%, respectively, relative to the computed value of a stockpile without degradation. The open pit mine production scheduling with stockpiling (OPMPS+S) problem decides when to extract each notional, three-dimensional block of ore and/or waste in a deposit. In addition, this problem determines whether to send each block to a processing plant, to a stockpile, or to a waste dump. The objective function maximizes net present value, subject to constraints such as precedence, and capacities for mining and processing. Because the material within the stockpile is exposed to the environment, time-dependent changes may occur in the material's properties, which results in increased processing costs or, equivalently, a net loss of value. We extend a linear-integer mine-planning model that considers stockpiling to account for degradation within the stockpile(s). We compare results from this model on a data set from an operational mine to more commonly used, yet less detailed, models that provide lower and upper bounds on the net present value. We show that the material degradation within a stockpile has an impact on the value that a stockpile provides. Specifically, by considering 5% and 10% annual degradation for our instances, we observe that the value that a stockpile provides decreases by 37% and 69%, respectively, relative to the computed value of a stockpile without degradation. |
| ArticleNumber | 104589 |
| Author | Rezakhah, Mojtaba Newman, Alexandra |
| Author_xml | – sequence: 1 givenname: Mojtaba surname: Rezakhah fullname: Rezakhah, Mojtaba email: m.rezakhah@modares.ac.ir organization: Engineering Department, Tarbiat Modares University, Jalal AleAhmad, Nasr, Tehran, P.O. Box 14115-111, Iran – sequence: 2 givenname: Alexandra orcidid: 0000-0001-9886-9721 surname: Newman fullname: Newman, Alexandra email: anewman@mines.edu, newman@mines.edu organization: Operations Research with Engineering Program, Department of Mechanical Engineering, Colorado School of Mines, Golden, CO, 80401, USA |
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| Cites_doi | 10.1007/s11081-012-9186-2 10.1016/j.powtec.2007.02.013 10.1016/j.hydromet.2017.06.021 10.1016/j.cor.2007.12.006 10.1016/j.ijmst.2014.05.006 10.1007/s002679900235 10.1080/17480930.2011.600827 10.1016/S0307-904X(01)00085-3 10.1080/0020723032000093991 10.1287/inte.2013.0731 10.1080/13895260500258661 10.1016/j.cor.2009.12.008 10.1016/j.minpro.2010.07.011 10.1016/j.ejor.2016.12.014 10.1093/imaman/7.3.247 |
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| Keywords | Degradation Open pit mining Linear and integer programming Stockpiling Mine planning |
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| SubjectTerms | Degradation Landfills Linear and integer programming Mine planning Net present value Open pit mining Operations research Present value Production scheduling Stockpiling Time dependence Upper bounds |
| Title | Open pit mine planning with degradation due to stockpiling |
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