A mathematical programming viewpoint for solving the ultimate pit problem

European Journal of Operational Research

Volumn 107, Issue 1, 1998, Pages 96-107

  Underwood, Robert ^a   Tolwinski, Boleslaw ^b  

^a Department of Geology and Geological Engineering   (United States)

^b Operations Res Experts Mineral I   (United States)

Author keywords

Graph theory; Mathematical programming; Mine planning; Network programming

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; CONSTRAINT THEORY; DATA STRUCTURES; GRAPH THEORY; MATHEMATICAL MODELS; MATHEMATICAL PROGRAMMING; PROBLEM SOLVING; STRATEGIC PLANNING;

MINE PLANNING; NETWORK PROGRAMMING;

OPEN PIT MINING;

EID: 0032072202     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(97)00141-0     Document Type: Article

References (12)

1. M. Bazaraa, J. Jarvis, M. Sherali, Linear Programming and Network Flows, Wiley, New York, 1990.
2. G. Bond, A mathematical analysis of the Lerchs and Grossmann algorithm and the nested Lerchs and Grossmann algorithm, Ph.D. Dissertation, Colorado School of Mines, May 1995.
3. K. Dagdelen, Optimum multi-period open pit mine production scheduling, Ph.D. Dissertation, Colorado School of Mines, September 1985.
4. M. David, P. Dowd, S. Korobov, Forecasting departure from planning in open pit design and grade control, in: Proceedings of APCOM 1974, Golden, CO, April 1974.
5. P. Dowd, A. Onur, Optimizing open pit design and sequencing, in: Proceedings of APCOM 1992, Tucson, AZ, April 1992.
6. T. Johnson, A comparative study of methods for determining ultimate open-pit mining limits, 11th Conference on Application of Computer Methods in the Mineral Industries, University of Arizona, Tucson, AZ, April 1973.
7. H. Lerchs, I. Grossman, Optimum design of open-pit mines, Transactions, Canadian Institute of Mining 68 (1965) 17-24.
8. J.-C. Picard, Maximal closure of a graph and application to combinatorial problems, Management Science 22 (11) (1976) 1268-1272.
9. B. Tolwinski, R. Underwood, An algorithm to estimate the optimal evolution of an open pit mine, in: Proceedings of APCOM 1992, Tucson, AZ, April 1992.
10. B. Tolwinski, R. Underwood, A scheduling algorithm for open pit mines, to appear in IMA Journal of Mathematics Applied in Business and Industry.
11. J. Whittle, Beyond optimization in open-pit design, in: Proceedings of the First Canadian Conference on Computer Applications in the Mineral Industries, A.A. Balkema, Rotterdam, pp. 331-337.
12. Y. Zhao, Y.C. Kim, A new optimum pit limit design algorithm, in: Proceedings of APCOM 1992, Tucson, AZ, April 1992.