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An investigation of shift and break flexibility with real-time break assignments using a rolling horizon approach

Author

Listed:
  • Youngbum Hur

    (The University of Texas)

  • Jonathan F. Bard

    (The University of Texas)

  • Markus Frey

    (Technical University of Munich)

  • Ferdinand Kiermaier

    (Technical University of Munich)

Abstract

The purpose of this paper is to investigate the benefits that flexibility offers in daily shift scheduling, especially when demand is uncertain. The different forms of flexibility considered include shift start times, the number of breaks, break lengths, and break placement. Five related mixed-integer programming models are developed and used to compare break scheduling in advance and either sequentially or in real time for various shift and break profiles. The first model integrates the shift and break assignments while the second model assigns shifts only. The third and fourth models assume an optimal set of shifts. In the former case, the goal is to assign as many breaks as possible without violating demand requirements; in the latter case, the objective is to minimize undercoverage while ensuring that all shifts receive their required breaks. The fifth model takes a rolling horizon approach and provides the greatest advantage when responding to unexpected demand fluctuations over the day. Tests were performed using work requirements for ground handlers at a major European airport and showed in part that when demand is known and the most flexible break type is used, the total uncovered periods in a day can be decreased by up to 94% (down from 270 to 16). When demand is uncertain, we found that using our rolling horizon procedure reduces undercoverage by up to 41% compared to scheduling breaks in advance.

Suggested Citation

  • Youngbum Hur & Jonathan F. Bard & Markus Frey & Ferdinand Kiermaier, 2019. "An investigation of shift and break flexibility with real-time break assignments using a rolling horizon approach," Flexible Services and Manufacturing Journal, Springer, vol. 31(1), pages 174-211, March.
  • Handle: RePEc:spr:flsman:v:31:y:2019:i:1:d:10.1007_s10696-018-9305-2
    DOI: 10.1007/s10696-018-9305-2
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    References listed on IDEAS

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    1. Tolga Çezik & Oktay Günlük, 2004. "Reformulating linear programs with transportation constraints—With applications to workforce scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(2), pages 275-296, March.
    2. Thompson, Gary M. & Pullman, Madeleine E., 2007. "Scheduling workforce relief breaks in advance versus in real-time," European Journal of Operational Research, Elsevier, vol. 181(1), pages 139-155, August.
    3. Ferdinand Kiermaier & Markus Frey & Jonathan F. Bard, 2016. "Flexible cyclic rostering in the service industry," IISE Transactions, Taylor & Francis Journals, vol. 48(12), pages 1139-1155, December.
    4. Banu Sungur & Cemal Özgüven & Yasemin Kariper, 2017. "Shift scheduling with break windows, ideal break periods, and ideal waiting times," Flexible Services and Manufacturing Journal, Springer, vol. 29(2), pages 203-222, June.
    5. Parisio, Alessandra & Neil Jones, Colin, 2015. "A two-stage stochastic programming approach to employee scheduling in retail outlets with uncertain demand," Omega, Elsevier, vol. 53(C), pages 97-103.
    6. Monia Rekik & Jean-François Cordeau & François Soumis, 2004. "Using Benders Decomposition to Implicitly Model Tour Scheduling," Annals of Operations Research, Springer, vol. 128(1), pages 111-133, April.
    7. Gary M. Thompson, 1995. "Improved Implicit Optimal Modeling of the Labor Shift Scheduling Problem," Management Science, INFORMS, vol. 41(4), pages 595-607, April.
    8. Hadi W. Purnomo & Jonathan F. Bard, 2007. "Cyclic preference scheduling for nurses using branch and price," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(2), pages 200-220, March.
    9. Stephen E. Bechtold & Larry W. Jacobs, 1990. "Implicit Modeling of Flexible Break Assignments in Optimal Shift Scheduling," Management Science, INFORMS, vol. 36(11), pages 1339-1351, November.
    10. Kibaek Kim & Sanjay Mehrotra, 2015. "A Two-Stage Stochastic Integer Programming Approach to Integrated Staffing and Scheduling with Application to Nurse Management," Operations Research, INFORMS, vol. 63(6), pages 1431-1451, December.
    11. Smet, Pieter & Brucker, Peter & De Causmaecker, Patrick & Vanden Berghe, Greet, 2016. "Polynomially solvable personnel rostering problems," European Journal of Operational Research, Elsevier, vol. 249(1), pages 67-75.
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    1. Pieter Smet & Annelies Lejon & Greet Vanden Berghe, 2021. "Demand smoothing in shift design," Flexible Services and Manufacturing Journal, Springer, vol. 33(2), pages 457-484, June.
    2. M. I. M. Wahab & C. -G. Lee & P. Sarkar, 2023. "A real options approach to value manufacturing flexibilities with regime-switching product demand," Flexible Services and Manufacturing Journal, Springer, vol. 35(3), pages 864-895, September.

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