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A solution approach for optimizing long- and short-term production scheduling at LKAB's Kiruna mine

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  • Martinez, Michael A.
  • Newman, Alexandra M.

Abstract

We present a mixed-integer program to schedule long- and short-term production at LKAB's Kiruna mine, an underground sublevel caving mine located in northern Sweden. The model minimizes deviations from monthly preplanned production quantities while adhering to operational constraints. Because of the mathematical structure of the model and its moderately large size, instances spanning a time horizon of more than a year or two tend to be intractable. We develop an optimization-based decomposition heuristic that, on average, obtains better solutions faster than solving the model directly. We show that for realistic data sets, we can generate solutions with deviations that comprise about 3-6% of total demand in about a third of an hour.

Suggested Citation

  • Martinez, Michael A. & Newman, Alexandra M., 2011. "A solution approach for optimizing long- and short-term production scheduling at LKAB's Kiruna mine," European Journal of Operational Research, Elsevier, vol. 211(1), pages 184-197, May.
  • Handle: RePEc:eee:ejores:v:211:y:2011:i:1:p:184-197
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    Cited by:

    1. Gonzalo Muñoz & Daniel Espinoza & Marcos Goycoolea & Eduardo Moreno & Maurice Queyranne & Orlando Rivera Letelier, 2018. "A study of the Bienstock–Zuckerberg algorithm: applications in mining and resource constrained project scheduling," Computational Optimization and Applications, Springer, vol. 69(2), pages 501-534, March.
    2. Sotoudeh, Farzad & Nehring, Micah & Kizil, Mehmet & Knights, Peter & Mousavi, Amin, 2020. "Production scheduling optimisation for sublevel stoping mines using mathematical programming: A review of literature and future directions," Resources Policy, Elsevier, vol. 68(C).
    3. Akshay Chowdu & Peter Nesbitt & Andrea Brickey & Alexandra M. Newman, 2022. "Operations Research in Underground Mine Planning: A Review," Interfaces, INFORMS, vol. 52(2), pages 109-132, March.
    4. O’Sullivan, Dónal & Newman, Alexandra, 2015. "Optimization-based heuristics for underground mine scheduling," European Journal of Operational Research, Elsevier, vol. 241(1), pages 248-259.
    5. Miloš Milenković & Susana Val & Nebojša Bojović, 2023. "Simultaneous lot sizing and scheduling in the animal feed premix industry," Operational Research, Springer, vol. 23(2), pages 1-40, June.
    6. Marco Schulze & Julia Rieck & Cinna Seifi & Jürgen Zimmermann, 2016. "Machine scheduling in underground mining: an application in the potash industry," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(2), pages 365-403, March.
    7. Moreno, Eduardo & Rezakhah, Mojtaba & Newman, Alexandra & Ferreira, Felipe, 2017. "Linear models for stockpiling in open-pit mine production scheduling problems," European Journal of Operational Research, Elsevier, vol. 260(1), pages 212-221.
    8. Cinna Seifi & Marco Schulze & Jürgen Zimmermann, 2021. "Solution procedures for block selection and sequencing in flat-bedded potash underground mines," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(2), pages 409-440, June.
    9. Siyu Tu & Mingtao Jia & Liguan Wang & Shuzhao Feng & Shuang Huang, 2022. "A Multi-Equipment Task Assignment Model for the Horizontal Stripe Pre-Cut Mining Method," Sustainability, MDPI, vol. 14(24), pages 1-18, December.
    10. King, Barry & Goycoolea, Marcos & Newman, A., 2017. "Optimizing the open pit-to-underground mining transition," European Journal of Operational Research, Elsevier, vol. 257(1), pages 297-309.
    11. Dónal O’Sullivan & Alexandra Newman, 2014. "Extraction and Backfill Scheduling in a Complex Underground Mine," Interfaces, INFORMS, vol. 44(2), pages 204-221, April.
    12. Barry King & Alexandra Newman, 2018. "Optimizing the Cutoff Grade for an Operational Underground Mine," Interfaces, INFORMS, vol. 48(4), pages 357-371, August.

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