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Machine scheduling in underground mining: an application in the potash industry

Author

Listed:
  • Marco Schulze

    (Clausthal University of Technology)

  • Julia Rieck

    (Clausthal University of Technology)

  • Cinna Seifi

    (Clausthal University of Technology)

  • Jürgen Zimmermann

    (Clausthal University of Technology)

Abstract

In this paper, a scheduling problem that occurs in potash mining is introduced, where a block excavation sequence has to be found taking into account a limited number of underground machines as well as safety-related restrictions. The aim is to minimize the maximum completion time of excavations, i.e., the makespan. The resulting problem can be transformed into a hybrid flow shop scheduling problem with reentry, unrelated machines, and job-precedences. A mixed-integer linear model is presented and small-scale instances are solved with CPLEX. In order to tackle medium- and large-scale instances heuristically, a basic and an advanced multi-start algorithm are developed, based on a specific priority rule-based construction procedure. In addition, a modified version of the Giffler and Thompson procedure is applied. Computational experiments are conducted on problem instances derived from real-world data in order to evaluate the performances of the proposed solution procedures.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:orspec:v:38:y:2016:i:2:d:10.1007_s00291-015-0414-y
    DOI: 10.1007/s00291-015-0414-y
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Younes Aalian & Michel Gamache & Gilles Pesant, 2024. "Short-term underground mine planning with uncertain activity durations using constraint programming," Journal of Scheduling, Springer, vol. 27(5), pages 423-439, October.
    2. Rainer Kolisch & Erik Demeulemeester & Rubén Ruiz Garcia & Vincent T’Kindt & Jan Węglarz, 2016. "Editorial “Project Management and Scheduling”," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(2), pages 279-281, March.
    3. Marco Schulze & Jürgen Zimmermann, 2017. "Staff and machine shift scheduling in a German potash mine," Journal of Scheduling, Springer, vol. 20(6), pages 635-656, December.
    4. Fan Yang & Roel Leus, 2021. "Scheduling hybrid flow shops with time windows," Journal of Heuristics, Springer, vol. 27(1), pages 133-158, April.
    5. Jianxin Fang & Brenda Cheang & Andrew Lim, 2023. "Problems and Solution Methods of Machine Scheduling in Semiconductor Manufacturing Operations: A Survey," Sustainability, MDPI, vol. 15(17), pages 1-44, August.
    6. Siyu Tu & Mingtao Jia & Liguan Wang & Shuzhao Feng & Shuang Huang, 2023. "A Dynamic Scheduling Model for Underground Metal Mines under Equipment Failure Conditions," Sustainability, MDPI, vol. 15(9), pages 1-18, April.
    7. Jesús Isaac Vázquez-Serrano & Leopoldo Eduardo Cárdenas-Barrón & Rodrigo E. Peimbert-García, 2021. "Agent Scheduling in Unrelated Parallel Machines with Sequence- and Agent–Machine–Dependent Setup Time Problem," Mathematics, MDPI, vol. 9(22), pages 1-34, November.
    8. Zeng, Lanyan & Liu, Shi Qiang & Kozan, Erhan & Corry, Paul & Masoud, Mahmoud, 2021. "A comprehensive interdisciplinary review of mine supply chain management," Resources Policy, Elsevier, vol. 74(C).
    9. 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.

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