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Mixed Integer Programming to Schedule a Single-Shift Workforce under Annualized Hours

Author

Listed:
  • Carlos Azmat
  • Tony Hürlimann
  • Marino Widmer

Abstract

Nowadays flexibility is a strategic concept for firms. Indeed workload has to follow, as close as possible, the development of demand throughout the year. However, firms cannot engage and dismiss employees according to production requirements. Thus, workforce scheduling becomes a delicate task. In this paper, four mixed integer programming models are developed to solve the workforce schedule problem for a single-shift. The annualized hour scenario is considered with respect to a set of Swiss legal constrains. Furthermore, the minimal required workforce is guaranteed and it is assumed that each employee is able to perform each task within the team. All employees are full-time workers. Copyright Kluwer Academic Publishers 2004

Suggested Citation

  • Carlos Azmat & Tony Hürlimann & Marino Widmer, 2004. "Mixed Integer Programming to Schedule a Single-Shift Workforce under Annualized Hours," Annals of Operations Research, Springer, vol. 128(1), pages 199-215, April.
    • Handle: RePEc:spr:annopr:v:128:y:2004:i:1:p:199-215:10.1023/b:anor.0000019105.54898.a4
    DOI: 10.1023/B:ANOR.0000019105.54898.a4
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    Citations

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    Cited by:

    1. M Lezaun & G Pérez & E Sáinz de la Maza, 2010. "Staff rostering for the station personnel of a railway company," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(7), pages 1104-1111, July.
    2. Albert Corominas & Amaia Lusa & Rafael Pastor, 2007. "Planning production and working time within an annualised hours scheme framework," Annals of Operations Research, Springer, vol. 155(1), pages 5-23, November.
    3. Lusa, Amaia & Pastor, Rafael & Corominas, Albert, 2008. "Determining the most appropriate set of weekly working hours for planning annualised working time," International Journal of Production Economics, Elsevier, vol. 111(2), pages 697-706, February.
    4. 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.
    5. 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.
    6. Cambini, Riccardo & Riccardi, Rossana, 2009. "Theoretical and algorithmic results for a class of hierarchical fleet mix problems," European Journal of Operational Research, Elsevier, vol. 198(3), pages 741-747, November.
    7. Lusa, Amaia & Corominas, Albert & Muñoz, Norberto, 2008. "A multistage scenario optimisation procedure to plan annualised working hours under demand uncertainty," International Journal of Production Economics, Elsevier, vol. 113(2), pages 957-968, June.
    8. M Lezaun & G Pérez & E Sáinz de la Maza, 2006. "Crew rostering problem in a public transport company," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(10), pages 1173-1179, October.
    9. Yuan Gao & Qian Zhang & Chun Kit Lau & Bhagwat Ram, 2022. "Robust Appointment Scheduling in Healthcare," Mathematics, MDPI, vol. 10(22), pages 1-15, November.
    10. A Corominas & J Olivella & R Pastor, 2010. "Capacity planning with working time accounts in services," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(2), pages 321-331, February.
    11. 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.
    12. D Thiel, 2009. "Dynamic modelling of labour assignment flexibility in the French fresh food industry," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(5), pages 652-662, May.
    13. Adibah Shuib & Faiq Izzuddin Kamarudin, 2019. "Solving shift scheduling problem with days-off preference for power station workers using binary integer goal programming model," Annals of Operations Research, Springer, vol. 272(1), pages 355-372, January.

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