Efficient methods to model and optimise the design of open pit mines have been known for many years. Although the underground mine design problem is conceptually more difficult it has a similar potential for optimisation. Recent research demonstrates some useful progress in this topic. Here we provide an overview of some of this research.
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References
A. Akaike and K. Dagdelen, “A strategic production method for an open pit mine”, 28th APCOM Symposium, Golden, Colorado, 1999, 729-738.
C. Alford “Optimization in underground mine design”, 25th APCOM AusIMM, 1995.
C. Alford, Optimization in underground mine design. PhD, Department of Mathematics and Statistics, The University of Melbourne, 2006.
M. Ataee-pour, A heuristic algorithm to optimize stope boundaries. PhD, Faculty of Engineering, University of Wollongong, 2000.
R.W. Barbaro and R.V. Ramani, “Generalized multi-period MIP model for production scheduling and processing facilities selection”, Mining Engineering, 38 (1986), 107-114.
A. Boucher, R. Dimitrakopoulos and J.A. Vargas-Guzman, “Joint simulations, optimal drillhole spacing and the role of the stockpile”, in Geostatistics Banff 2004 (Quantitative Geology and Geostatistics, 14), Springer, Berlin, 2005.
M. Brazil, D. A. Thomas and J. F. Weng, “Gradient constrained minimal Steiner trees”, in Network Design: Connectivity and Facilities Location (DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Vol. 40), American Mathematical Society, Providence, 1998, pp. 23-38.
M. Brazil, J. H. Rubinstein, D. A. Thomas, D. Lee, J. F. Weng and N. C. Wormald, “Network optimization of underground mine design”. The Australasian Institute for Mining and Metallurgy Proceedings, Vol. 305, No.1, pp. 57-65, 2000.
M. Brazil, J. H. Rubinstein, D. A. Thomas, J. F.Weng and N. C. Wormald, “Gradient-constrained minimal Steiner trees (I). Fundamentals”, Journal of Global Optimization, 21, (2001), 139-155,.
M. Brazil, D.H. Lee, J.H. Rubinstein, D.A. Thomas, J.F. Weng, N.C. Wormald, “A network model to optimize cost in underground mine design”, Trans. South African Institute of Electrical Engineers, 93 (2002), 97-103.
M. Brazil, D.H. Lee, M. Van Leuven, J.H. Rubinstein, D.A. Thomas, N.C. Wormald, “Optimizing declines in underground mines”, Mining Technology: Trans. of the Institution of Mining and Metallurgy, Section A, 112 (2003), 164-170.
M. Brazil, D.H. Lee, J.H. Rubinstein, D.A. Thomas, J.F. Weng, N.C. Wormald, “Optimization in the design of underground mine access”, Proceedings Orebody Modelling and Strategic Mine Planning, 2004, pp. 3-6.
M. Brazil, D.A. Thomas, J.F. Weng, D.H. Lee, J.H. Rubinstein, “Cost optimization for underground mining networks”, Optimization and Engineering, 6 (2005), 241-256.
L. Caccetta and S. Hill, “An application of branch and cut to open pit mine scheduling”, Journal of Global Optimization, 27 (2003), 349-365,.
P.G. Carter, D.H. Lee and H. Baarsma, “Optimization methods for the selection of an underground mining method”, Proceedings Orebody Modelling and Strategic Mine Planning, 2004, pp. 7-12.
N.M. Cheimanoff, E.P. Deliac and J.L. Mallet, “GEOCAD: An alternative CAD artificial intelligence tool that helps moving from geological resources to mineable reserves”, 21st APCOM, 1989.
J. Deraisme, C. de Fouquent and H. Fraisse, “Geostatistical orebody model for computer optimization of profits from different underground mining methods”, 18th APCOM IMM, 1984.
L.E. Dubins, “On curves of minimal length with a constraint on average curvature, and with prescribed initial and terminal positions and tangents”. American Journal of Mathematics, 79 (3) (1957), 497-516.
G. Froyland, M. Menabde, P. Stone, and D. Hodson, “The value of additional drilling to open pit mining projects”, Proceedings Orebody Modelling and Strategic Mine Planning, 2004, pp. 169-176.
M.E. Gershon, “Mine scheduling optimization with mixed integer programming”, Society of Mining Engineers of AIME, Preprint No 82-324, 1982.
M. Gershon and F.H. Murphy “Using dynamic programming for aggregating cuts in a single drillhole”, International Journal of Surface Mining, 1 (1987), 35-40.
M. Gershon and F.H. Murphy “Optimizing single hole mine cuts by dynamic programming”, European Journal of Operational Research, 38 (1989), 56-62.
P. Goovaerts, Geostatistics for Natural Resources Evaluation. New York, Oxford University Press, 1997.
N. Grieco and R. Dimitrakopoulos, “Grade uncertainty in stope design: Improving the optimization process”, Proceedings Orebody Modelling and Strategic Mine Planning, 2004, pp. 249-255.
B. Hall and C. Stewart, “Optimising the strategic mine plan - methodologies, findings, successes and failures”, Proceedings Orebody Modelling and Strategic Mine Planning, 2004, pp. 49-58.
F. K. Hwang, D. S. Richards, and P. Winter, The Steiner Tree Problem (Annals of Discrete Mathematics 53). Elsevier, Amsterdam, 1992.
M. Kuchta, A. Newman and E. Topal, “Production scheduling at LKAB's Kiruna Mine using mixed integer programming”, Mining Engineering 55 (2003), 35-40.
K.F. Lane, The Economic Definition of Ore. London, Mining Journal Books Limited, 1988.
H. Lerchs, and I. F. Grossmann, “Optimum design of open-pit mines,” Trans. Canadian Institute of Mining and Metallurgy, Vol. LXVIII (1965) 17-24.
Mineral Industries Computing Limited, Datamine Studio V2 User Documentation, 2005.
F. Muge, P. Pina and J.L. Vieira, “Some applications of image analysis techniques to mine planning”, 24th APCOM IMM, 1995.
A. Newman and M. Kuchta, “Eliminating variables and using aggregation to improve the performance of an integer programming production scheduling model for an underground mine”, preprint, 2003.
J. Poniewierski, G. MacSporran and I. Sheppard, “Optimization of cut-off grade at Mount Isa Mines Limited's Enterprise Mine”, Conference Proceedings - Twelfth International Symposium on Mine Planning and Equipment Selection (MPES), 2003, pp. 531-538.
J-M. Rendu, “Computerized estimation of ore and waste zones in complex mineral deposits”, Society of Mining Engineers of AIME, Preprint No 82-95, 1982.
J-M. Rendu, “Orebody Modelling, mine planning, reserve evaluation and the regulatory environment”, Proceedings Orebody Modelling and Strategic Mine Planning, 2004, pp. 201-208.
J. Serra, Image Analysis and Mathematical Morphology. New York, Academic Press, 1982.
M.L. Smith, I. Sheppard and G. Karunatillake “Using MIP for strategic life-of-mine planning of the lead/zinc stream at Mount Isa Mines”, APCOM 2003 Conference, 2003, pp. 1-10.
G. Thomas and A. Earl, “The application of second-generation stope optimization tools in underground cut-off grade analysis”, Whittle Strategic Mine Planning Conference, 1999.
P. Trout, “Underground mine production scheduling using mixed integer programming”, APCOM XXV 1995 Conference, 1995, pp. 395-400.
G. Whittle, “Global asset optimization”, Proceedings Orebody Modelling and Strategic Mine Planning, 2004, pp. 261-266.
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Alford, C., Brazil, M., Lee, D.H. (2007). Optimisation in Underground Mining. In: Weintraub, A., Romero, C., Bjørndal, T., Epstein, R., Miranda, J. (eds) Handbook Of Operations Research In Natural Resources. International Series In Operations Research amp; Mana, vol 99. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-71815-6_30
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