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Off-Day Scheduling with Hierarchical Worker Categories

Author

Listed:
  • Hamilton Emmons

    (Case Western Reserve University, Cleveland, Ohio)

  • Richard N. Burns

    (Queen's University, Kingston, Ontario, Canada)

Abstract

A work force includes workers of m types. The worker categories are ordered, with type-1 workers the most highly qualified, type-2 the next, and so on. If the need arises, a type- k worker is able to substitute for a worker of any type j > k ( k = 1, …, m − 1). For 7-day-a-week operation, daily requirements are for at least D k workers of type- k or better, of which at least d k must be precisely type- k . Formulas are given to find the smallest number and most economical mix of workers, assuming that each worker must have 2 off-days per week and a given fraction of weekends off. Algorithms are presented which generate a feasible schedule, and provide work stretches between 2 and 5 days, and consecutive weekdays off when on duty for 2 weekends in a row, without additional staff.

Suggested Citation

  • Hamilton Emmons & Richard N. Burns, 1991. "Off-Day Scheduling with Hierarchical Worker Categories," Operations Research, INFORMS, vol. 39(3), pages 484-495, June.
    • Handle: RePEc:inm:oropre:v:39:y:1991:i:3:p:484-495
    DOI: 10.1287/opre.39.3.484
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    Citations

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    Cited by:

    1. Ulusam Seckiner, Serap & Gokcen, Hadi & Kurt, Mustafa, 2007. "An integer programming model for hierarchical workforce scheduling problem," European Journal of Operational Research, Elsevier, vol. 183(2), pages 694-699, December.
    2. Narasimhan, Rangarajan, 1997. "An algorithm for single shift scheduling of hierarchical workforce," European Journal of Operational Research, Elsevier, vol. 96(1), pages 113-121, January.
    3. Lishun Zeng & Mingyu Zhao & Yangfan Liu, 2019. "Airport ground workforce planning with hierarchical skills: a new formulation and branch-and-price approach," Annals of Operations Research, Springer, vol. 275(1), pages 245-258, April.
    4. Azmat, Carlos S. & Widmer, Marino, 2004. "A case study of single shift planning and scheduling under annualized hours: A simple three-step approach," European Journal of Operational Research, Elsevier, vol. 153(1), pages 148-175, February.
    5. Jonathan F. Bard & Lin Wan, 2008. "Workforce Design with Movement Restrictions Between Workstation Groups," Manufacturing & Service Operations Management, INFORMS, vol. 10(1), pages 24-42, November.
    6. 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.
    7. Michael J. Brusco & Larry W. Jacobs, 1998. "Personnel Tour Scheduling When Starting-Time Restrictions Are Present," Management Science, INFORMS, vol. 44(4), pages 534-547, April.

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