Abstract
A method that optimizes mining complexes which are comprised of multiple processing destinations, open pits and underground operations is presented. Mining, blending, processing and transportation decision variables are simultaneously optimized while accounting for geological uncertainty. The method uses a simulated annealing algorithm at different decision levels in order to generate a stochastic-based extraction sequence and processing policies. A case study shows its ability to generate a higher NPV while facing a reduced amount of risk when compared to traditional optimization methods.
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References
Albor F, Dimitrakopoulos R (2009) Stochastic mine design optimization based on simulated annealing: pit limits, production schedules, multiple orebody scenarios and sensitivity analysis. IMM Trans Min Technol 118(2):80–91
Albor F, Dimitrakopoulos R (2010) Algorithmic approach to pushback design based on stochastic programming: method, application and comparisons. IMM Trans Min Technol 119(2):88–101
Benndorf J, Dimitrakopoulos R (2018) New efficient methods for conditional simulations of large orebodies, in this volume
Bodon P, Fricke C, Sandeman T, Stanford C (2018) Combining optimisation and simulation to model a supply chain from pit to port, in this volume
Bootsma MT, Alford C, Benndorf J, Buxton MWN (2018) Cut-off grade-based sublevel stope mine optimisation—Introduction and evaluation of an optimisation approach and method for grade risk quantification, in this volume
Boucher A, Dimitrakopoulos R (2009) Block-support simulation of multiple correlated variables. Math Geosci 41(2):215–237
Chanda E (2018) Network linear programming optimisation of an integrated mining and metallurgical complex, in this volume
Dimitrakopoulos R, Ramazan S (2004) Uncertainty based production scheduling in open pit mining. SME Trans 316:106–112
Dowd P (1994) Risk assessment in reserve estimation and open-pit planning. Trans Inst Min Metall Sect A Min Ind 103:A148–A154
Godoy M (2002) The effective management of geological risk in long-term production scheduling of open pit mines. Ph.D. Thesis, School of Engineering, University of Queensland, Brisbane, Qld, Australia
Goodfellow R, Dimitrakopoulos R (2016) Global optimization of open pit mining complexes with uncertainty. Appl Soft Comput 40:292–304
Goodfellow R, Dimitrakopoulos R (2018) Simultaneous stochastic optimisation of mineral value chains: developments and applications with technical risk management, in this volume
Grieco N, Dimitrakopoulos R (2007) Managing grade risk in stope design optimisation: probabilistic mathematical programming model and application in sublevel stoping. IMM Trans Min Technol 116(2):49–57
Grieco N, Dimitrakopoulos R (2018) Grade uncertainty in stope design—improving the optimisation process, in this volume
Groeneveld B, Topal E, Leenders B (2018) A new methodology for flexible mine design, in this volume
Hoerger S, Seymour F, Hoffman L (1999) Mine planning at Newmont’s Nevada operations. Min Eng 51:26–30
IBM corp. (2011) IBM ILOG CPLEX optimization studio. CPLEX User’s Manual 12. IBM Corporation, USA, pp 1–468
Infomine Website (2014). http://www.infomine.com/minesite/minesite.asp?site=turquoise
Kawahata K, Schumacher P, Hufford R (2013) Mine production scheduling optimization at Newmont’s twin creeks mine. Min Eng 65(6):49–54
Kirkpatrick S, Gelatt CD, Vecchi MP (1983) Optimization by simulated annealing. Science 220:671–680
Lamghari A, Dimitrakopoulos R (2012) A diversified Tabu search approach for the open-pit mine production scheduling problem with metal uncertainty. Eur J Oper Res 222(3):642–652
Lamghari A, Dimitrakopoulos R, Ferland JA (2013) A variable neighbourhood descent algorithm for the open-pit mine production scheduling problem with metal uncertainty. J Oper Res Soc: 1–10
Menabde M, Froyland G, Stone P, Yeates G (2018) Mining schedule optimisation for conditionally simulated orebodies, in this volume
Metropolis N, Rosenbluth A, Rosenbluth N, Teller A, Teller E (1953) Equation of state calculations by fast computing machines. J Chem Phys 21:1087–1092
Montiel L, Dimitrakopoulos R (2015) Optimizing mining complexes with multiple processing and transportation alternatives: an uncertainty-based approach. Eur J Oper Res 247:166–178
Ramazan S, Dimitrakopoulos R (2018) Stochastic optimisation of long-term production scheduling for open pit mines with a new integer programming formulation, in this volume
Ramazan S, Dimitrakopoulos R (2013) Production scheduling with uncertain supply: A new solution to the open pit mining problem. Optim Eng 14:361–380
Ravenscroft PJ (1992) Risk analysis for mine scheduling by conditional simulation. Trans Inst Min Metall Sect A Min Technol 101:104–108
Rocchi L, Carter P, Stone P (2011) Sequence optimization in longwall coal mining. J Min Sci 47(2):151–157
Stone P, Froyland G, Menabde M, Law B, Pasyar R, Monkhouse P (2018) Blasor—Blended iron ore mine planning optimisation at Yandi, Western Australia, in this volume
Whittle G (2007) Global asset optimization. In: Proceedings, orebody modeling and strategic mine planning, AusIMM, Spectrum Series 14, pp 331–336
Whittle J (2018) The global optimizer works—what next?, in this volume
Wooller R (2007) Optimising multiple operating policies for exploiting complex resources—an overview of the COMET scheduler. In: Proceedings, orebody modeling and strategic mine planning, AusIMM, Spectrum Series 14, pp 309–316
Zuckerberg M, Stone P, Pasyar R, Mader E (2007) Joint ore extraction and in-pit dumping optimisation. In: Proceedings, orebody modeling and strategic mine planning, AusIMM, Spectrum Series 14, pp 137–140
Zuckerberg M, Van der Riet J, Malajczuk W, Stone P (2011) Optimal life-of-mine scheduling for a bauxite mine. J Min Sci 47(2):158–165
Acknowledgements
We would like to thank the organizations and companies who funded this research: Canada Research Chairs (Tier I) in Sustainable Mineral Resource Development and Optimization under Uncertainty, and NSERC Collaborative Research and Development Grant CRDPJ 411270-10, entitled Developing new global stochastic optimization and high-order stochastic models for optimizing mining complexes with uncertainty; industry collaborators: AngloGold Ashanti, Barrick Gold, BHP Billiton, De Beers, Newmont Mining and Vale, and NSERC Discovery Grant 239019. Particular thanks to Mern Vatcha from Barrick for his generous contribution.
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Appendix 1—Stochastic Solution with Initial Stockpiles
Appendix 1—Stochastic Solution with Initial Stockpiles
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Montiel, L., Dimitrakopoulos, R., Kawahata, K. (2018). Simultaneously Optimizing Open-Pit and Underground Mining Operations Under Geological Uncertainty. In: Dimitrakopoulos, R. (eds) Advances in Applied Strategic Mine Planning. Springer, Cham. https://doi.org/10.1007/978-3-319-69320-0_16
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