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A new mathematical formulation for a potash-mine shift scheduling problem with a simultaneous assignment of machines and workers

Author

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  • Seifi, Cinna
  • Schulze, Marco
  • Zimmermann, Jürgen

Abstract

In this paper, we introduce a mixed-integer linear program for a shift scheduling problem in a German potash mine. In particular, we consider a short-term (work shift) production scheduling problem, where drill-and-blast mining operations have to be assigned to machines and workers simultaneously. Since we deal with several sequence-dependent setup, changeover, and removal times, TSP-variables are used in the mathematical program to determine the processing-sequence of the operations on each worker and each machine, respectively. In addition, several mining-specific requirements are taken into account to obtain a solution that can be put into practice. Computational experiments are conducted on problem instances of realistic size derived from real-world data. The results show that our new mixed-integer linear formulation outperforms both existing solution procedures for the problem at hand.

Suggested Citation

  • Seifi, Cinna & Schulze, Marco & Zimmermann, Jürgen, 2021. "A new mathematical formulation for a potash-mine shift scheduling problem with a simultaneous assignment of machines and workers," European Journal of Operational Research, Elsevier, vol. 292(1), pages 27-42.
    • Handle: RePEc:eee:ejores:v:292:y:2021:i:1:p:27-42
    DOI: 10.1016/j.ejor.2020.10.007
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    Cited by:

    1. 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).
    2. 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.

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