IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v45y1998i8p839-853.html
   My bibliography  Save this article

A set‐processing algorithm for scheduling staff on 4‐day or 3‐day work weeks

Author

Listed:
  • Richard N. Burns
  • Rangarajan Narasimhan
  • L. Douglas Smith

Abstract

This paper presents an efficient algorithm for scheduling a single‐category work force on 4‐day or 3‐day work weeks. Employees work 4 or 3 days each week, have A out of every B weekends off, and work no more than 5 consecutive days in a work stretch on 4‐day work weeks and no more than 4 days in a work stretch on 3‐day work weeks. Such conditions often prevail in 7‐day‐a‐week organizations such as hospitals, manufacturing plants, and retail stores. We determine the minimum number of workers required to satisfy the scheduling constraints under any pattern of daily requirements. Then we present the algorithm for assigning days off for each worker, thereby determining the work schedules. We show that the algorithm, by construction, will necessarily satisfy the scheduling constraints. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 839–853, 1998

Suggested Citation

  • Richard N. Burns & Rangarajan Narasimhan & L. Douglas Smith, 1998. "A set‐processing algorithm for scheduling staff on 4‐day or 3‐day work weeks," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(8), pages 839-853, December.
    • Handle: RePEc:wly:navres:v:45:y:1998:i:8:p:839-853
    DOI: 10.1002/(SICI)1520-6750(199812)45:83.0.CO;2-R
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/(SICI)1520-6750(199812)45:83.0.CO;2-R
    Download Restriction: no
    File URL: https://libkey.io/10.1002/(SICI)1520-6750(199812)45:83.0.CO;2-R?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. R. N. Burns & M. W. Carter, 1985. "Work Force Size and Single Shift Schedules with Variable Demands," Management Science, INFORMS, vol. 31(5), pages 599-607, May.
    2. Hung, R, 1991. "Single-shift workforce scheduling under a compressed workweek," Omega, Elsevier, vol. 19(5), pages 494-497.
    3. Kenneth R. Baker & Michael J. Magazine, 1977. "Workforce Scheduling with Cyclic Demands and Day-Off Constraints," Management Science, INFORMS, vol. 24(2), pages 161-167, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Broos Maenhout & Mario Vanhoucke, 2017. "A resource type analysis of the integrated project scheduling and personnel staffing problem," Annals of Operations Research, Springer, vol. 252(2), pages 407-433, May.
    2. Brusco, Michael J. & Johns, Tony R., 1996. "A sequential integer programming method for discontinuous labor tour scheduling," European Journal of Operational Research, Elsevier, vol. 95(3), pages 537-548, December.
    3. Rudy Hung, 1999. "A multiple‐shift workforce scheduling model under annualized hours," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(6), pages 726-736, September.
    4. Hung, Rudy, 2006. "Using compressed workweeks to save labour cost," European Journal of Operational Research, Elsevier, vol. 170(1), pages 319-322, April.
    5. 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.
    6. 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.
    7. Eiji Mizutani & Kevin Alexander Sánchez Galeano, 2023. "A note on a single-shift days-off scheduling problem with sequence-dependent labor costs," Journal of Scheduling, Springer, vol. 26(3), pages 315-329, June.
    8. 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.
    9. 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.
    10. Jens Brunner & Jonathan Bard & Rainer Kolisch, 2009. "Flexible shift scheduling of physicians," Health Care Management Science, Springer, vol. 12(3), pages 285-305, September.
    11. Hung, Rudy, 1996. "Using compressed workweeks to reduce work commuting," Transportation Research Part A: Policy and Practice, Elsevier, vol. 30(1), pages 11-19, January.
    12. Michael J. Brusco & Larry W. Jacobs, 2000. "Optimal Models for Meal-Break and Start-Time Flexibility in Continuous Tour Scheduling," Management Science, INFORMS, vol. 46(12), pages 1630-1641, December.
    13. D. Parr & J. Thompson, 2007. "Solving the multi-objective nurse scheduling problem with a weighted cost function," Annals of Operations Research, Springer, vol. 155(1), pages 279-288, November.
    14. Andreas Fügener & Jens O. Brunner, 2019. "Planning for Overtime: The Value of Shift Extensions in Physician Scheduling," INFORMS Journal on Computing, INFORMS, vol. 31(4), pages 732-744, October.
    15. Jens O. Brunner & Jonathan F. Bard & Jan M. Köhler, 2013. "Bounded flexibility in days‐on and days‐off scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(8), pages 678-701, December.
    16. Brusco, Michael J. & Jacobs, Larry W., 1995. "Cost analysis of alternative formulations for personnel scheduling in continuously operating organizations," European Journal of Operational Research, Elsevier, vol. 86(2), pages 249-261, October.
    17. Perla, Abhinav & Nikolaev, Alexander & Pasiliao, Eduardo, 2018. "Workforce management under social Link Based Corruption," Omega, Elsevier, vol. 78(C), pages 222-236.
    18. Yann Ferrand & Michael Magazine & Uday S. Rao & Todd F. Glass, 2011. "Building Cyclic Schedules for Emergency Department Physicians," Interfaces, INFORMS, vol. 41(6), pages 521-533, December.
    19. Mark W. Isken & Osman T. Aydas, 2022. "A tactical multi-week implicit tour scheduling model with applications in healthcare," Health Care Management Science, Springer, vol. 25(4), pages 551-573, December.
    20. G Laporte & G Pesant, 2004. "A general multi-shift scheduling system," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(11), pages 1208-1217, November.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:navres:v:45:y:1998:i:8:p:839-853. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.