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Competence-based assignment of tasks to workers in factories with demand-driven manufacturing

Author

Listed:
  • Bożena Staruch

    (University of Warmia and Mazury)

  • Bogdan Staruch

    (University of Warmia and Mazury)

Abstract

The paper is motivated by real problems concerning tasks assignment to workers in medium-sized upholstered furniture plants managed using the Demand-Driven Manufacturing. Although the methodology was developed for furniture plants it can be applied to other types of production plants. We involve competence coefficients, which describe the level of the worker’s skills or capabilities to perform a specific task. The competence coefficients are also used to block the possibility of assigning the given task to a worker that has no skills to do it. Additionally, we involve a dummy worker to the model which guarantees the existence of a solution to the problem. We present and discuss Integer Linear Programming Models for the posted problem that are closely related to the Generalized Assignment Problem. We also discuss the potential use of the presented methodology to solve real-life problems related to production management.

Suggested Citation

  • Bożena Staruch & Bogdan Staruch, 2021. "Competence-based assignment of tasks to workers in factories with demand-driven manufacturing," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(2), pages 553-565, June.
    • Handle: RePEc:spr:cejnor:v:29:y:2021:i:2:d:10.1007_s10100-021-00739-4
    DOI: 10.1007/s10100-021-00739-4
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    References listed on IDEAS

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    1. Diaz, Juan A. & Fernandez, Elena, 2001. "A Tabu search heuristic for the generalized assignment problem," European Journal of Operational Research, Elsevier, vol. 132(1), pages 22-38, July.
    2. Yagiura, Mutsunori & Ibaraki, Toshihide & Glover, Fred, 2006. "A path relinking approach with ejection chains for the generalized assignment problem," European Journal of Operational Research, Elsevier, vol. 169(2), pages 548-569, March.
    3. Norman J. Driebeek, 1966. "An Algorithm for the Solution of Mixed Integer Programming Problems," Management Science, INFORMS, vol. 12(7), pages 576-587, March.
    4. Martin Savelsbergh, 1997. "A Branch-and-Price Algorithm for the Generalized Assignment Problem," Operations Research, INFORMS, vol. 45(6), pages 831-841, December.
    5. Robert M. Nauss, 2003. "Solving the Generalized Assignment Problem: An Optimizing and Heuristic Approach," INFORMS Journal on Computing, INFORMS, vol. 15(3), pages 249-266, August.
    6. Lars Hvam & Niels Henrik Mortensen & Jesper Riis, 2008. "Product Customization," Springer Books, Springer, number 978-3-540-71449-1, September.
    7. Cattrysse, Dirk. G. & Salomon, Marc & Van Wassenhove, Luk N., 1994. "A set partitioning heuristic for the generalized assignment problem," European Journal of Operational Research, Elsevier, vol. 72(1), pages 167-174, January.
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