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

Cinna Seifi, Marco Schulze and Jürgen Zimmermann

European Journal of Operational Research, 2021, vol. 292, issue 1, 27-42

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.

Keywords: Scheduling; Shift scheduling; Sequence-dependent setup times; Mixed-integer linear programming; Underground mining (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:292:y:2021:i:1:p:27-42

DOI: 10.1016/j.ejor.2020.10.007

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