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Flow shop scheduling with flexible processing times

Author

Listed:
  • Matthias Bultmann

    (University of Osnabrück)

  • Sigrid Knust

    (University of Osnabrück)

  • Stefan Waldherr

    (Technical University of Munich)

Abstract

In numerous flow shop variants, the processing times of the operations are not fixed in advance, but may be distributed with some flexibility among the machines. In this paper, we introduce a general model which is expressive enough to cover several models from the literature. While in most cases it is $$\mathcal {NP}$$ NP -hard to find a job permutation and a corresponding distribution of processing times minimizing the makespan, we show that for a fixed job permutation a best processing time distribution can be calculated in polynomial time by linear programming. Based on this, we propose a tabu search procedure using the set of all job permutations as search space. In a computational study, we show the power of the new model. Besides the classical permutation flow shop environment, we study variants with blocking, no-wait and synchronous movement constraints.

Suggested Citation

  • Matthias Bultmann & Sigrid Knust & Stefan Waldherr, 2018. "Flow shop scheduling with flexible processing times," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(3), pages 809-829, July.
    • Handle: RePEc:spr:orspec:v:40:y:2018:i:3:d:10.1007_s00291-018-0520-8
    DOI: 10.1007/s00291-018-0520-8
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    References listed on IDEAS

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    Cited by:

    1. S. Knust & N. V. Shakhlevich & S. Waldherr & C. Weiß, 2019. "Shop scheduling problems with pliable jobs," Journal of Scheduling, Springer, vol. 22(6), pages 635-661, December.

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