Financially Efficient Ore Selections Incorporating Grade Uncertainty

Mathematical Geology

Volumn 35, Issue 2, 2003, Pages 195-215

  Richmond, Andrew ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Downside risk; Mixed integer optimization; Portfolio theory

Indexed keywords

FINANCE; MINING; OPTIMIZATION; ORE GRADE; RISK ASSESSMENT;

EID: 0742271046     PISSN: 08828121     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023239606028     Document Type: Article

References (30)

1. Baumol, W. J., 1963, An expected gain-confidence limit criterion for portfolio selection: Manage. Sci., v. 10, p. 174-182.
2. Bawa, V. S., and Lindenberg, E. B., 1977, Capital market equilibrium in a mean-lower partial moment framework: J. Finan. Econ., v. 5, p. 189-200.
3. Bienstock, D., 1996, Computational study of a family of mixed-integer quadratic programming problems: Math. Programming, v. 74, p. 121-140.
4. Borchers, B., and Mitchell, J. E., 1997, A computational comparison of branch and bound and outer approximation algorithms for 0-1 mixed integer non-linear programs: Comput. Oper. Res., v. 24, p. 699-701.
5. Cardozo, R. N., and Smith, D. K., 1983, Applying financial portfolio theory to product portfolio decisions: An empirical study: J. Marketing, v. 47, p. 110-119.
6. Cerny, V., 1985, Thermodynamical approach to the travelling salesman problem: An efficient simulation algorithm: J. Optim. Theory Appl., v. 45, p. 41-51.
7. Chang, T.-J., Meade, N., Beasley, J. E., and Sharaiha, Y. M., 2000, Heuristics for cardinality constrained portfolio optimisation: Comput. Oper. Res., v. 27, p. 1271-1302.
8. Chirinko, R. S., Guill, G. D., and Herbert, P., 1991, Developing a systematic approach to credit risk manangement: J. Retail Banking, v. 13, no. 3, p. 29-36.
9. Deutsch, C. V., 1992, Annealing techniques applied to reservoir modeling and the integration of geological and engineering (well test) data: Unpublished Doctoral Dissertation, Stanford University, Stanford, CA, 304 p.
10. Deutsch, C. V., and Journel, A. G., 1997, GSLIB: Geostatistical software library and user's guide, 2nd edn.: Oxford University Press, New York, 369 p.
11. Domar, E. V., and Musgrave, R. A., 1944, Proportion income taxation and risk-taking: Quart. J. Econ., v. 58, p. 389-422.
12. Edwards, R. A., and Hewett, T. A., 1993, Applying financial portfolio theory to the analysis of producing properties: SPE Paper No. 26392, 12 p.
13. Farmer, C., 1991, Numerical rocks, in Fayers, F., and King, P., eds., The mathematical generation of reservoir geology: Oxford University Press, New York.
14. Fishburn, P. C., 1977, Mean-risk analysis with risk associated with below-target returns: Amer. Econ. Rev., v. 67, no. 2, p. 116-126.
15. Goovaerts, P., 1997, Geostatistics for natural resources evaluation: Oxford University Press, New York, 491 p.
16. Hightower, M. L., and David, A., 1991, Portfolio modeling: A technique for sophisticated oil and gas investors: SPE Paper No. 22016.
17. Ingersoll, J. E., 1987, Theory of financial decision making: Rowman & Littlefield, Savage, NJ, 474 p.
18. Kirkpatrick, S., Gelatt, C. D., and Vecchi, M. P., 1983, Optimization by simulated annealing: Science, v. 220, no. 4598, p. 671-680.
19. Lane, K. F., 1988, The economic definition of ore: Cut-off grades in theory and practice: Mining Journal Books Limited, London, 149 p.
20. Mao, J. C. T., 1970, Models of capital budgeting, E-V vs E-S: J. Finan. Quant. Anal., v. 4, no. 5, p. 657-675.
21. Markowitz, H. M., 1952, Portfolio selection: J. Finance, v. 7, no. 1, p. 77-91.
22. Markowitz, H. M., 1959, Portfolio selection: Efficient diversification of investments: Wiley, New York, 344 p.
23. Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., and Teller, E., 1953, Equation of state calculations by fast computing machines: J. Chem. Phys., v. 21, no. 6, p. 1087-1092.
24. Orman, M. M., and Duggan, T. E., 1999, Applying modern portfolio theory to upstream investment decision making: J. Petrol. Technol., March, p. 50-53.
25. Richmond, A. J., 2001, Incorporating financial risk attitudes in ore selection decisions from probabilistic models: Min. Res. Eng., v. 10, no. 1, p. 39-51.
26. Sortino, F. A., and van der Meer, R., 1991, Downside risk: J. Portfol. Manage., v. 18, no. 4, p. 27-31.
27. Speranza, M. G., 1996, A heuristic algorithm for a portfolio optimization model applied to the Milan stock market: Comput. Oper. Res., v. 23, p. 433-441.
28. Srivastava, R. M., 1987, Minimum variance or maximum profitability: CIM Bull., v. 80, no. 901, p. 63-68.
29. Stone, B. K., 1973, A general class of three-parameter risk measures: J. Finance, v. 28, p. 675-685.
30. von Neumann, J., and Morgenstern, O., 1953, Theory of games and economic behaviour, 3rd edn.: Princeton University Press, Princeton, NJ, 648 p.