277
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Joint stochastic optimisation of open-pit mine production scheduling with ramp design

&
Received 13 Jun 2023, Accepted 24 Mar 2024, Published online: 24 Apr 2024

References

  • W.A. Hustrulid, M. Kuchta, and R.K. Martin, Open Pit Mine Planning and Design, 3rd ed., CRC Press, Boca Raton, FL, 2013.
  • P. Goovaerts, Geostatistics for Natural Resource Evaluation, Oxford University Press, New York, 1997.
  • S. Ramazan and R. Dimitrakopoulos, Stochastic optimization of long-term production scheduling for open pit mines with a new integer programming formulation, in Orebody Modelling and Strategic Mine Planning, R. Dimitrakopoulos, ed., Springer, Cham, 2005, pp. 353–360.
  • 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. Tech. 117 (4) (2008), pp. 155–160. doi:10.1179/174328609X417279.
  • 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. doi:10.1007/s11081-012-9186-2.
  • M. Quigley, R. Dimitrakopoulos, and T. Grammatikopoulos, Risk-resilient mine production schedules with favourable product quality for rare earth element projects, Min. Tech. 127 (1) (2018), pp. 41–55. doi:10.1080/14749009.2017.1323172.
  • 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. doi:10.1134/S1062739149010097.
  • R. Goodfellow and R. Dimitrakopoulos, Simultaneous stochastic optimization of mining complexes and mineral value chains, Math. Geosci. 49 (3) (2017), pp. 341–360. doi:10.1007/s11004-017-9680-3.
  • R. Goodfellow and R. Dimitrakopoulos, Global optimization of open pit mining complexes with uncertainty, Appl. Soft Comput. 40 (2016), pp. 292–304. doi:10.1016/j.asoc.2015.11.038.
  • 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. doi:10.1016/j.ejor.2015.05.002.
  • L. Montiel and R. Dimitrakopoulos, Simultaneous stochastic optimization of production scheduling at Twin Creeks mining complex, Nevada, Min. Eng. 70 (12) (2018), pp. 48–56. doi:10.19150/me.8645.
  • R. Goodfellow, Unified Modelling and Simultaneous Optimization of Open Pit Mining Complexes with Supply Uncertainty, Doctor of philosophy manuscript, McGill University, Montreal, Canada, 2014.
  • L. Montiel, R. Dimitrakopoulos, and K. Kawahata, Globally optimising open-pit and underground mining operations under geological uncertainty, Min. Tech. 125 (1) (2016), pp. 2–14. doi:10.1179/1743286315Y.0000000027.
  • A. Kumar and R. Dimitrakopoulos, Application of simultaneous stochastic optimization with geometallurgical decisions at a copper–gold mining complex, Min. Tech. 128 (2) (2019), pp. 88–105. doi:10.1080/25726668.2019.1575053.
  • R. Dimitrakopoulos and A. Lamghari, Simultaneous stochastic optimization of mining complexes – Mineral value chains: An overview of concepts, examples and comparisons, Int. J. Min. Reclam. Environ. 36 (6) (2022), pp. 443–460. doi:10.1080/17480930.2022.2065730.
  • 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. doi:10.1016/j.ejor.2012.05.029.
  • A. Lamghari, R. Dimitrakopoulos, and J.A. Ferland, A variable neighbourhood descent algorithm for the open-pit mine production scheduling problem with metal uncertainty, J. Oper. Res. Soc. 65 (9) (2014), pp. 1305–1314. doi:10.1057/jors.2013.81.
  • A. Lamghari and R. Dimitrakopoulos, Hyper-heuristic approaches for strategic mine planning under uncertainty, Comput. Oper. Res. 115 (2020), pp. 104590. doi:10.1016/j.cor.2018.11.010.
  • A. Lamghari and R. Dimitrakopoulos, An adaptive large neighborhood search heuristic to optimize mineral value chains under metal and material type uncertainty, Int. J. Min. Reclam. Environ. 36 (1) (2022), pp. 1–25. doi:10.1080/17480930.2021.1949858.
  • Y. Yaakoubi and R. Dimitrakopoulos, Learning to schedule heuristics for the simultaneous stochastic optimization of mining complexes, Comput. Oper. Res. 159 (2023), pp. 106349. doi:10.1016/j.cor.2023.106349.
  • T. Gill, Express Road Routing: The Application of an Optimal Haul Road Generator to Real World Data, Optimizing with Whittle, Perth, 1999.
  • P. Nancel-Penard, A. Parra, N. Morales, C. Díaz, and E. Widzyk-Capehart, Value-optimal design of ramps in open pit mining, Arch. Min. Sci. 64 (2019), pp. 399–413.
  • J. Yarmuch, M. Brazil, H. Rubinstein, and D. Thomas, Optimum ramp design in open pit mines, Comput. Oper. Res. 115 (2020), pp. 104739. doi:10.1016/j.cor.2019.06.013.
  • N. Morales, P. Nancel-Penard, and N. Espejo, Development and analysis of a methodology to generate operational open-pit mine ramp designs automatically, Optim. Eng. 24 (2) (2023), pp. 711–741. doi:10.1007/s11081-021-09702-3.
  • J.R. Birge and F. Louveaux, Introduction to stochastic programming, in Springer Series in Operations Research and Financial Engineering, T. Mikosch S. Resnick, S. Robinson, eds., 2nd ed., Springer, New York, 2011.
  • D.E. Knuth, The Art of Computer Programming, Addison-Wesley, Boston, MA, 1997.
  • S. Kirkpatrick, C.D. Gelatt, and M.P. Vecchi, Optimization by simulated annealing, Science 220 (4598) (1983), pp. 671–680. doi:10.1126/science.220.4598.671.
  • I. Minniakhmetov, R. Dimitrakopoulos, and M. Godoy, High-order spatial simulation using Legendre-like orthogonal splines, Math. Geosci. 50 (7) (2018), pp. 753–780. doi:10.1007/s11004-018-9741-2.