613
Views
25
CrossRef citations to date
0
Altmetric
Original Articles

Robust stochastic mine production scheduling

Pages 567-579 | Received 05 Sep 2009, Published online: 08 Apr 2010

References

  • Bertsimas , D. and Sim , M. 2004 . The price of robustness . Operations Research , 52 ( 1 ) : 35 – 53 .
  • Boland , N. , Fricke , C. and Froyland , G. 2006 . A strengthened formulation for the open pit mine production scheduling problem , [online]. Available from: http://www.optimization-online.org/DB_FILE/2007/03/1624.pdf [Accessed 15 November 2007]
  • Boland , N. , Dumitrascu , I. , Froyland , G. and Gleixner , A. 2008 . LP-based disaggregation approaches to solving the open pit mining production scheduling problem with block processing selectivity . Computers and Operations Research , 36 ( 4 ) : 1064 – 1089 .
  • Caccetta , L. and Hill , S. P. 2003 . An application of branch and cut to open pit mine scheduling . Journal of Global Optimization , 27 : 349 – 365 .
  • Dowd , P. A. 1994 . “ The optimal design of quarries ” . In Mineral resource evaluation II , Edited by: Whateley , M. G.K. 141 – 155 . London : The Geological Society .
  • Gershon , M. E. 1983 . Optimal mine production scheduling: evaluation of large scale mathematical programming approaches . International Journal of Mining Engineering , 1 : 315 – 329 .
  • Higle , J. L. 2005 . Stochastic programming: Optimization when uncertainty matters . INFORMS , 29 ( 2 ) : 33 – 61 .
  • Hochbaum , D. S. 2001 . A new-old algorithm for minimum-cut and maximum-flow in closure graphs . Networks: An International Journal , 37 ( 4 ) : 171 – 193 .
  • Kall , P. and Wallace , S. W. 1994 . Stochastic programming , New York : Wiley .
  • Kang , J. , Suh , M. and Lee , T. 2004 . Robust economic optimization of process design under uncertainty . Engineering Optimization , 36 ( 1 ) : 51 – 75 .
  • Knowles , T. W. 1999 . Optimization models for mine planning . Computers and Industrial Engineering , 37 : 469 – 472 .
  • Lai , K. and Ng , W. 2005 . A stochastic approach to hotel revenue optimization . Computers and Operations Research , 32 : 1059 – 1072 .
  • Lerch , H. and Grossman , I. F. 1965 . Optimum design of open-pit mines . CIM Transactions , 58 : 47 – 54 .
  • Leung , S. C.H. , Wu , Y. and Lai , K. K. 2002 . A robust optimization model for a cross-border logistic problem with fleet composition in an uncertain environment . Mathematical and Computer Modeling , 36 : 1221 – 1234 .
  • Li , H. L. 1996 . An efficient method for solving linear goal programming problems . Journal of Optimization Theory and Application , 90 ( 2 ) : 465 – 469 .
  • List , G. F. , Wood , B. , Nozik , L. K. , Turnquist , M. A. , Jones , D. A. , Kjelgaard , E. A. and Lawton , C. R. 2003 . Robust optimization for fleet planning under uncertainty . Tranportation Research Part E , 39 : 209 – 237 .
  • Menabde , M. , Froyland , G. , Stone , P. and Yeates , G. Mining schedule optimisation for conditionally simulated orebodies . Proceedings of orebody modelling and strategic mine planning—uncertainty and risk management . November , Perth. pp. 357 – 342 . Perth AusIMM Publishers .
  • Mulvey , J. M. , Vanderbei , R. J. and Zenios , S. A. 1995 . Robust optimization of large-scale systems . Operations Research , 43 ( 2 ) : 264 – 281 .
  • Ramazan , S. and Dimitrakopoulos , R. 2004 . Stochastic optimization of long term production scheduling for open pit mines with a new integer programming formulation . Orebody Modelling and Strategic Mine Planning , 14 : 353 – 360 .
  • Ramazan , S. and Dagdelen , K. 2005 . Fundamental tree algorithm in optimising production scheduling for open pit mine design . Mining Technology: IMM Transactions (Section A) , 10 : 45 – 54 .
  • Rardin , R. 1998 . Optimization in operations research , USA : Prentice-Hall .
  • Sim , M. 2004 . Robust optimization , Massachusetts Institute of Technology . Thesis (PhD)
  • Yu , C. S. and Li , H. 2000 . A robust optimization model for stochastic logistic problems . International Journal of Production Economics , 64 : 385 – 397 .
  • Weintraub , A. , Pereira , M. and Schultz , X. 2008 . A priori and a posteriori aggregation procedures to reduce model size in MIP mine planning models . Electronic Notes in Discrete Mathematics , 30 : 297 – 302 .
  • Whittle , D. and Bozorgebrahimi , A. Hybrid pits—Linking conditional simulation and Lerchs and Grosmann through set theory . Symposium on orebody modelling and strategic mine planning . November , Australia. pp. 37 – 42 . Perth AusIMM Publishers .
  • Wu , Y. 2006 . Robust optimization applied to uncertain production loading problem with import quota limits under the global supply chain management environment . International Journal of Production Research , 44 ( 5 ) : 849 – 882 .
  • Zhao , Y. and Kim , A. A new optimum pit limit design algorithm . Proceedings of 23rd APCOM Symposium . April 7–11 , Tucson, AZ. pp. 500 – 506 . Littleton, Co: AIME .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.