2,424
Views
13
CrossRef citations to date
0
Altmetric
Original Articles

Stochastic optimisation of long-term block cave scheduling with hang-up and grade uncertainty

, & ORCID Icon
Pages 371-388 | Received 27 Oct 2017, Accepted 21 Jan 2018, Published online: 06 Feb 2018

References

  • S. Nadolski, B. Klein, D. Elmo, and M. Scoble, Cave-to-mill: A mine-to-mill approach for block cave mines, Min. Technol. 124(1) (2015), pp. 47–55.10.1179/1743286315Y.0000000001
  • E. Chanda, An application of integer programming and simulation to production planning for a stratiform ore body, Min. Sci. Technol. 11(2) (1990), pp. 165–172.10.1016/0167-9031(90)90318-M
  • A. Guest, G. Van Hout, A. Von Johannides, and L. Scheepers, An application of linear programming for block cave draw control. In Proceedings of the 3rd International Conference & Exhibition on Mass Mining, 2000, pp. 461–468.
  • D. Rahal, M. Smith, G. Van Hout, and A. van Johannides, The use of mixed integer linear programming for long term scheduling in block caving mines. In Proceedings of the 31st International Symposium on the Application of Computers and Operations Research in the Minerals Industries, 2003, pp. 123–131.
  • Y. Pourrahimian, H. Askari-Nasab, and D. Tannant, A multi-step approach for block-cave production scheduling optimization, Int. J. Min. Sci. Technol. 23(5) (2013), pp. 739–750.
  • Y. Pourrahimian and H. Askari-Nasab, An application of mathematical programming to determine the best height of draw in block-cave sequence optimisation, Min. Technol. 123(3) (2014), pp. 162–172.10.1179/1743286314Y.0000000061
  • F. Khodayari and Y. Pourrahimian, Mathematical programming applications in block-caving scheduling: A review of models and algorithms, Int. J. Min. Min. Eng. 6(3) (2015), pp. 234–257.10.1504/IJMME.2015.071174
  • T. Diering, O. Richter, and D. Villa, Block cave production scheduling using pcbc. In Proceedings of the SME Annual Meeting & Exhibit 2010, 2010, pp. 455–467, Phoenix, Arizona.
  • P. Dowd, Risk assessment in reserve estimation and open-pit planning, Trans. Inst. Min. Metall., Sect. A 103 (1994), pp. A148–A154.
  • P.J. Ravenscroft, Risk analysis for mine scheduling by conditional simulation, Trans. Inst. Min. Metall. Sec. A 101 (1992), pp. A104–A108.
  • S. Malaki and Y. Pourrahimian, Footprint calculation for block cave mining under grade uncertainty, Research Report 6 – Unpublished, Mining Optimization Laboratory, University Of Alberta, Edmonton, 2015.
  • E. Vargas, N. Morales, and X. Emery, Footprint and economic envelope calculation for block/panel caving mines under geological uncertainty, 4th International Seminar on Mine Planning, Presentation, 2015. Available at https://www.researchgate.net/publication/281639806_Footprint_and_Economic_Envelope_Calculation_for_BlockPanel_Caving_Mines_Under_Geological_Uncertainty.
  • R. Dimitrakopoulos and N. Grieco, Stope design and geological uncertainty: Quantification of risk in conventional designs and a probabilistic alternative, J. Min. Sci. 45(2) (2009), pp. 152–163.10.1007/s10913-009-0020-y
  • S. Carpentier, M. Gamache, and R. Dimitrakopoulos, Underground long-term mine production scheduling with integrated geological risk management, Min. Technol. 125(2) (2016), pp. 93–102.10.1179/1743286315Y.0000000026
  • L. Montiel, R. Dimitrakopoulos, and K. Kawahata, Globally optimising open-pit and underground mining operations under geological uncertainty, Min. Technol. 125(1) (2016), pp. 2–14.10.1179/1743286315Y.0000000027
  • M. Godoy, The effective management of geological risk in long-term production scheduling of open pit mines, PhD thesis, The University of Queensland, Brisbane, Qld, 2002.
  • M. Spleit and R. Dimitrakopoulos, Risk management and long-term production schedule optimization at the LabMag iron ore deposit in Labrador, Canada, Min. Eng. 69(10) (2017).
  • R. Dimitrakopoulos, Stochastic optimization for strategic mine planning: A decade of developments, J. Min. Sci. 47(2) (2011), pp. 138–150.
  • C.V. Deutsch and A.G. Journel, GSLIB: Geostatistical software library and user’s guide, Oxford University Press, New York, NY, 1992.
  • P. Goovaerts, Geostatistics for natural resources evaluation, Oxford University Press, Oxford, 1997.
  • N. Remy, A. Boucher, and J. Wu, Applied geostatistics with SGeMS: A user’s guide, Cambridge University Press, Cambridge, 2009.10.1017/CBO9781139150019
  • I. Minniakhmetov and R. Dimitrakopoulos, Joint high-order simulation of spatially correlated variables using high-order spatial statistics, Math. Geosci. 49(1) (2017), pp. 39–66.10.1007/s11004-016-9662-x
  • E. Rubio and S. Dunbar, Integrating uncertainty in block cave production scheduling, In Proceedings 32nd International Symposium on the Application of Computers and Operations Research in the Mineral Industry, 2005, pp. 635–642.
  • E. Rubio and S. Troncoso, Discrete events simulation to integrate operational interruption events in block cave production scheduling, In Proceedings of the 3rd International Conference on Mining Innovation, 2008.
  • S.N. Ngidi and D.D. Pretorius, Impact of poor fragmentation on cave management, In Proceedings 6th Southern African Base Metals Conference 2011, The Southern African Institute of Mining and Metallurgy, 2011, pp. 111–122.
  • S. Ramazan and R. Dimitrakopoulos, Production scheduling with uncertain supply: A new solution to the open pit mining problem, Optim. Eng. 14(2) (2013), pp. 361–380.10.1007/s11081-012-9186-2
  • L. Montiel and R. Dimitrakopoulos, Optimizing mining complexes with multiple processing and transportation alternatives: An uncertainty-based approach, Eur. J. Oper. Res. 247(1) (2015), pp. 166–178.10.1016/j.ejor.2015.05.002
  • R.C. Goodfellow and R. Dimitrakopoulos, Global optimization of open pit mining complexes with uncertainty, Appl. Soft Comput. 40 (2016), pp. 292–304.10.1016/j.asoc.2015.11.038
  • D. Laubscher, Cave mining-the state of the art, J. South Afr. Inst. Min. Metall 94(10) (1994), pp. 279–293.
  • R. Dimitrakopoulos and S. Ramazan, Stochastic integer programming for optimising long term production schedules of open pit mines: Methods, application and value of stochastic solutions, Min. Technol. 117(4) (2008), pp. 155–160.10.1179/174328609X417279
  • J. Benndorf and R. Dimitrakopoulos, Stochastic long-term production scheduling of iron ore deposits: Integrating joint multi-element geological uncertainty, J. Min. Sci. 49(1) (2013), pp. 68–81.10.1134/S1062739149010097
  • R.C. Goodfellow and R. Dimitrakopoulos, Simultaneous stochastic optimization of mining complexes and mineral value chains, Math. Geosci. 49(3) (2017), pp. 341–360.10.1007/s11004-017-9680-3
  • R. Dimitrakopoulos and S. Ramazan, Uncertainty based production scheduling in open pit mining, Trans. Soc. Min. Metall. Explor. 316 (2004), pp. 106–112.
  • L. Caccetta and S.P. Hill, An application of branch and cut to open pit mine scheduling, J. Global Optimiz. 27(2/3) (2003), pp. 349–365.10.1023/A:1024835022186
  • E. Topal, Early start and late start algorithms to improve the solution time for long-term underground mine production scheduling, J. South Afr. Inst. Min. Metall. 108(2) (2008), pp. 99–107.
  • C. Cullenbine, R.K. Wood, and A. Newman, A sliding time window heuristic for open pit mine block sequencing, Optimiz. Lett. 5(3) (2011), pp. 365–377.10.1007/s11590-011-0306-2
  • A. Lamghari and R. Dimitrakopoulos, Progressive hedging applied as a metaheuristic to schedule production in open-pit mines accounting for reserve uncertainty, Eur. J. Oper. Res. 253(3) (2016), pp. 843–855.10.1016/j.ejor.2016.03.007
  • A. Boucher and R. Dimitrakopoulos, Block-support simulation of multiple correlated variables, Math. Geosci. 41(2) (2009), pp. 215–237.10.1007/s11004-008-9178-0
  • R. A. Gonzalez Iturriaga, Desarrollo de flowsim 3.0: Simulador de flujo gravitacional para mineria de block/panel caving, Master’s thesis, Universidad de Chile, Santiago, 2014.
  • S. Kenzap and V. Kazakidis, Simulation of operating risk in mine feasibilities, Trans. Soc. Min. Metall. Explor. 330 (2011), pp. 591–597.
  • A. Lamghari and R. Dimitrakopoulos, A diversified Tabu search approach for the open-pit mine production scheduling problem with metal uncertainty, Eur. J. Oper. Res. 222(3) (2012), pp. 642–652.10.1016/j.ejor.2012.05.029