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A detailed workforce planning model including non-linear dependence of capacity on the size of the staff and cash management

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  • Corominas, Albert
  • Lusa, Amaia
  • Olivella, Jordi

Abstract

This paper introduces an original planning model which integrates production, human resources and cash management decisions, taking into account the consequences that decisions in one area may have on other areas and allowing all these areas to be coordinated. The most relevant characteristics of the planning problem are: (1) production capacity is a non-linear function of the size of the staff; (2) firing costs may depend on the worker who is fired; (3) working time is managed under a working time account (WTA) scheme, so positive balances must be paid to workers who leave the company; (4) there is a learning period for hired workers; and (5) cash management is included. A mixed integer linear program is designed to solve the problem. Despite the size and complexity of the model, it can be solved in a reasonable time. A numerical example, the main results of a computational experiment and a sensibility analysis illustrate the performance and benefits of the model.

Suggested Citation

  • Corominas, Albert & Lusa, Amaia & Olivella, Jordi, 2012. "A detailed workforce planning model including non-linear dependence of capacity on the size of the staff and cash management," European Journal of Operational Research, Elsevier, vol. 216(2), pages 445-458.
    • Handle: RePEc:eee:ejores:v:216:y:2012:i:2:p:445-458
    DOI: 10.1016/j.ejor.2011.06.027
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    References listed on IDEAS

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    1. N. Llort & A. Lusa & C. Martínez-Costa & M. Mateo, 2019. "A decision support system and a mathematical model for strategic workforce planning in consultancies," Flexible Services and Manufacturing Journal, Springer, vol. 31(2), pages 497-523, June.
    2. Carvalho, Andréa Nunes & Oliveira, Fabricio & Scavarda, Luiz Felipe, 2016. "Tactical capacity planning in a real-world ETO industry case: A robust optimization approach," International Journal of Production Economics, Elsevier, vol. 180(C), pages 158-171.
    3. Van den Bergh, Jorne & Beliën, Jeroen & De Bruecker, Philippe & Demeulemeester, Erik & De Boeck, Liesje, 2013. "Personnel scheduling: A literature review," European Journal of Operational Research, Elsevier, vol. 226(3), pages 367-385.
    4. De Bruecker, Philippe & Van den Bergh, Jorne & Beliën, Jeroen & Demeulemeester, Erik, 2015. "Workforce planning incorporating skills: State of the art," European Journal of Operational Research, Elsevier, vol. 243(1), pages 1-16.
    5. Symitsi, Efthymia & Stamolampros, Panagiotis & Daskalakis, George & Korfiatis, Nikolaos, 2021. "The informational value of employee online reviews," European Journal of Operational Research, Elsevier, vol. 288(2), pages 605-619.
    6. Egbert Veen & Erwin Hans & Bart Veltman & Leo Berrevoets & Hubert Berden, 2015. "A case study of cost-efficient staffing under annualized hours," Health Care Management Science, Springer, vol. 18(3), pages 279-288, September.
    7. de la Torre, R. & Lusa, A. & Mateo, M., 2016. "A MILP model for the long term academic staff size and composition planning in public universities," Omega, Elsevier, vol. 63(C), pages 1-11.

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