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Multicommodity network flow model of a human resource allocation problem considering time periods

Author

Listed:
  • Zsolt Ercsey

    (University of Pécs)

  • Zoltán Kovács

    (OPTIN Ltd.)

Abstract

This article addresses the problem of finding work assignments for employees within a given time horizon in a company using a multicommodity network flow model. The problem of human resource allocation is defined by the actual manpower demands of different periods which may vary during different periods. The investigation focuses on when workers should be called in-house and for how long to satisfy demands, while also complying with labour standards and regulations. Additional targets may also be set up, such as minimising the overall number of labour, as well as meeting “comfort” expectations, i.e. the most even working time should be realised for every worker within the event horizon. The paper describes how the multicommodity network flow model is constructed and the corresponding MILP mathematical programming model is formulated in a simple situation where there is only one position for the labour. Finally, the article explains how to construct the multicommodity network flow model and the MILP model for the general case, where there are multiple positions for the labour requiring various skills and competences per position within the periods.

Suggested Citation

  • Zsolt Ercsey & Zoltán Kovács, 2024. "Multicommodity network flow model of a human resource allocation problem considering time periods," 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. 32(4), pages 1041-1059, December.
    • Handle: RePEc:spr:cejnor:v:32:y:2024:i:4:d:10.1007_s10100-023-00868-y
    DOI: 10.1007/s10100-023-00868-y
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    References listed on IDEAS

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    1. Markó Horváth & Tamás Kis, 2019. "Computing strong lower and upper bounds for the integrated multiple-depot vehicle and crew scheduling problem with branch-and-price," 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. 27(1), pages 39-67, March.
    2. Margarida Moz & Margarida Pato, 2004. "Solving the Problem of Rerostering Nurse Schedules with Hard Constraints: New Multicommodity Flow Models," Annals of Operations Research, Springer, vol. 128(1), pages 179-197, April.
    3. Bentao Su & Naiming Xie, 2020. "Single workgroup scheduling problem with variable processing personnel," 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. 28(2), pages 671-684, June.
    4. 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.
    5. Margarida Moz & Margarida Pato, 2003. "An Integer Multicommodity Flow Model Applied to the Rerostering of Nurse Schedules," Annals of Operations Research, Springer, vol. 119(1), pages 285-301, March.
    6. Chunxiao Zhao & Junhua Chen & Xingchen Zhang & Zanyang Cui, 2022. "Solution of Multi-Crew Depots Railway Crew Scheduling Problems: The Chinese High-Speed Railway Case," Sustainability, MDPI, vol. 14(1), pages 1-18, January.
    7. H. W. Kuhn, 1955. "The Hungarian method for the assignment problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 2(1‐2), pages 83-97, March.
    8. Paola Cappanera & Giorgio Gallo, 2004. "A Multicommodity Flow Approach to the Crew Rostering Problem," Operations Research, INFORMS, vol. 52(4), pages 583-596, August.
    9. Attila Bernáth & Tamás Király & Erika Kovács & Gergely Mádi-Nagy & Gyula Pap & Júlia Pap & Jácint Szabó & László Végh, 2013. "Algorithms for multiplayer multicommodity flow problems," 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. 21(4), pages 699-712, December.
    10. Sana Bouajaja & Najoua Dridi, 2017. "A survey on human resource allocation problem and its applications," Operational Research, Springer, vol. 17(2), pages 339-369, July.
    11. Niklas Kohl & Stefan Karisch, 2004. "Airline Crew Rostering: Problem Types, Modeling, and Optimization," Annals of Operations Research, Springer, vol. 127(1), pages 223-257, March.
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