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A flexible MILP model for multiple-shift workforce planning under annualized hours

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  • Hertz, Alain
  • Lahrichi, Nadia
  • Widmer, Marino

Abstract

Flexibility in workforce planning is one of the best ways to respond to fluctuations of the demand. This paper proposes a flexible mixed integer linear programming (MILP) model to solve a multiple-shift workforce planning problem under annualized working hours. The model takes into account laws and collective agreements that impose constraints on overtime and holidays. We consider possible gradual hiring of full time and partial time workers. Several objectives are pursued such as balancing the workload of the employees or minimizing the workforce size. Computational experiments on a real life problem demonstrate the effectiveness of the model.

Suggested Citation

  • Hertz, Alain & Lahrichi, Nadia & Widmer, Marino, 2010. "A flexible MILP model for multiple-shift workforce planning under annualized hours," European Journal of Operational Research, Elsevier, vol. 200(3), pages 860-873, February.
    • Handle: RePEc:eee:ejores:v:200:y:2010:i:3:p:860-873
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    Cited by:

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    2. Lagodimos, A.G. & Mihiotis, A.N., 2010. "Efficient overtime planning in packing shops with lines of identical manning," International Journal of Production Economics, Elsevier, vol. 124(2), pages 453-462, April.
    3. Minh Phuoc Doan & Julien Fondrevelle & Valérie Botta-Genoulaz & Jose Francisco Ferreira Ribeiro, 2022. "Impact of flexible work contracts and multi-skilled agents on a multi-objective workforce planning problem," Post-Print hal-03119408, HAL.
    4. Savic, Aleksandar & Kratica, Jozef & Milanovic, Marija & Dugosija, Djordje, 2010. "A mixed integer linear programming formulation of the maximum betweenness problem," European Journal of Operational Research, Elsevier, vol. 206(3), pages 522-527, November.
    5. 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.
    6. Lin, Shih-Wei & Ying, Kuo-Ching, 2014. "Minimizing shifts for personnel task scheduling problems: A three-phase algorithm," European Journal of Operational Research, Elsevier, vol. 237(1), pages 323-334.
    7. 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.

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