Journal of Mining Science

, Volume 51, Issue 4, pp 785–798 | Cite as

Optimal mining rates revisited: Managing mining equipment and geological risk at a given mine setup

  • M. F. Del Castillo
  • M. C. Godoy
  • R. Dimitrakopoulos
Mineral Mining Technology
  • 106 Downloads

Abstract

This paper presents a mixed integer programming formulation dealing with the effective minimisation of risk incurred when optimizing mining production rates in such a way that production targets are met in the presence of geological uncertainty. This is developed through the concept of a “stable solution domain” that provides all feasible combinations of ore and waste extraction for the ultimate pit limit of a given deposit, independent of the geological risk. The proposed formulation provides an optimal annual extraction rate, together with the optimal utilization of a mining fleet and an equipment acquisition program. This solution eliminates unnecessary capital expenses and is feasible under all geological scenarios. The mathematical programming model is detailed and tested at a gold deposit. The results are used as input to a production schedule design and are compared to the schedule generated using a constant mining rate; the comparison shows that about 40% of equipment acquisition can be delayed for 7 years and mill demand still be met, thus maximizing profit and minimizing costs.

Keywords

Mine production rate stable solution domain mine planning 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Kim, Y., Production Scheduling: Technical Overview, Computer Methods for the 80’s, A. Weiss (Ed.), New York: AIME, New York, 1979. pp. 610–614.Google Scholar
  2. 2.
    Dagdelen, K. and Johnson, T., Optimum Open Pit Mine Production Scheduling by Lagrangian Parameterization, Proc. 19th APCOM Symposium of the Society of Mining Engineers, 1986. pp. 127–142.Google Scholar
  3. 3.
    Barbaro, R., and Ramani, R., Generalized Multi-Period MIP Model for Production Scheduling and Processing Facilities Selection and Location, Mining Engineering, 1986, vol. 38, no. 2, pp. 107–114.Google Scholar
  4. 4.
    Whittle, J. and Rozman, L., Open Pit Design in 90’s, Proc. Mining Industry Optimization Conf., AusIMM, Sydney, 1991.Google Scholar
  5. 5.
    Whittle, J., A Decade of Open Pit Mine Planning and Optimization–The Craft of Turning Algorithms into Packages, APCOM'99 Computer Applications in the Minerals Industries 28th International Symposium, Colorado School of Mines, Golden, Colorado USA, 1999. pp. 15–24.Google Scholar
  6. 6.
    Tolwinski, B., Scheduling Production for Open Pit Mines, Computer Applications in the Minerals Industries International Symposium, 1998. pp. 651–662.Google Scholar
  7. 7.
    Godoy, M., The Effective Management of Geological Risk in Long-Term Production Scheduling of Open Pit Mines, PhD Thesis, The University of Queensland, Brisbane, 2003.Google Scholar
  8. 8.
    Stone, P., Froyland, G., Menabde, M., Law, B., Pasyar, R., and Monkhouse, P., Blended Iron-Ore Mine Planning Optimization at Yandi Western Australia, AusIMM Spectrum Series, 2005. vol. 14. pp. 117–120.Google Scholar
  9. 9.
    Jewbali, A., Modelling Geological Uncertainty for Stochastic Short-Term Production Scheduling in Open Pit Metal Mines, PhD Thesis, The University of Queensland, Brisbane, 2006.Google Scholar
  10. 10.
    Menabde, M., Froyland, G., Stone, P. And Yeates, G., Mining Schedule Optimization for Conditionally Simulated Orebodies, AusIMM Spectrum Series 14, 2007. pp. 379–384.Google Scholar
  11. 11.
    Godoy, M., and Dimitrakopoulos, R., A Risk Quantification Framework for Strategic Mine Planning: Method and Application, J. Min. Sci., 2011, vol. 47, no. 2, pp. 235–246.CrossRefGoogle Scholar
  12. 12.
    Meagher, C., On the Directed Cut Polyhedra and Open Pit Mining, PhD Thesis, McGill University, Montreal, Canada, 2010.Google Scholar
  13. 13.
    Hustrulid, W. and Kuchta, M., Open-Pit Mine Planning and Design, vol. 1 A.A. Balkema, Rotterdam, Brookfiled, 1995. pp. 512–544.Google Scholar
  14. 14.
    Rzhenevisky, V., Open Pit Mining, Leningrad: Nedra, 1968.Google Scholar
  15. 15.
    Tan, S., and Ramani, R., Optimization Models for Scheduling Ore and Waste Production in Open Pit Mines, 23rd APCOM, SME of the AIME, 1992. pp. 781–791.Google Scholar
  16. 16.
    Dagdelen, K. and Johnson, T., Optimum Open Pit Mine Production Scheduling by Lagrangian Parameterization, 19th APCOM Symposium, SME-AIME, Littleton, Colorado, 1984. pp 127–142.Google Scholar
  17. 17.
    Emery, X., Arroyo, D., and Peláez, M., Simulating Large Gaussian Random Vectors Subject to Inequality Constraints by Gibbs Sampling, Mathematical Geosciences, 2014. vol. 46, no 3, pp. 265–283.CrossRefGoogle Scholar
  18. 18.
    Godoy, M., and Dimitrakopoulos, R., Managing Risk and Waste Mining in Long-Term Production Scheduling of Open-Pit Mines, SME Transactions, 2004.Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  • M. F. Del Castillo
    • 1
  • M. C. Godoy
    • 2
  • R. Dimitrakopoulos
    • 1
  1. 1.COSMO Stochastic Mine Planning LaboratoryMcGill UniversityMontrealCanada
  2. 2.Newmont Mining Corporation6363 South Fiddler’s Green CircleGreenwood VillageUSA

Personalised recommendations