IDEAS home Printed from https://ideas.repec.org/a/spr/jsched/v26y2023i3d10.1007_s10951-022-00749-3.html
   My bibliography  Save this article

A note on a single-shift days-off scheduling problem with sequence-dependent labor costs

Author

Listed:
  • Eiji Mizutani

    (National Taiwan University of Science and Technology)

  • Kevin Alexander Sánchez Galeano

    (National Taiwan University of Science and Technology)

Abstract

Elshafei and Alfares have developed a dynamic programming (DP) algorithm for minimizing the total sequence-dependent cost in a constrained single-shift days-off scheduling problem. In general, however, their proposed DP algorithm may not obtain an optimal solution unlike their claim; in their highlighted security personnel scheduling example, we show how to improve their alleged optimal schedule just by inspection. The purpose of this paper is to describe better solution approaches to their challenging sequence-dependent workforce scheduling problem. We first explain why their DP algorithm encounters difficulties in finding an optimal solution with emphasis on the importance of proper state description for DP. We then describe how to correct their DP procedure with minimal effort. After that, we confirm such a better scheduling result by solving an associated mathematical programming problem with the Gurobi Optimizer, a widely recognized mathematical programming solver.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jsched:v:26:y:2023:i:3:d:10.1007_s10951-022-00749-3
    DOI: 10.1007/s10951-022-00749-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10951-022-00749-3
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10951-022-00749-3?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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, Rudy, 1994. "Single-shift off-day scheduling of a hierarchical workforce with variable demands," European Journal of Operational Research, Elsevier, vol. 78(1), pages 49-57, October.
    3. J. P. Saksena & Santosh Kumar, 1966. "The Routing Problem with “K” Specified Nodes," Operations Research, INFORMS, vol. 14(5), pages 909-913, October.
    4. Nelishia Pillay, 2014. "A survey of school timetabling research," Annals of Operations Research, Springer, vol. 218(1), pages 261-293, July.
    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. Stuart E. Dreyfus, 1969. "An Appraisal of Some Shortest-Path Algorithms," Operations Research, INFORMS, vol. 17(3), pages 395-412, June.
    7. Ernst, A. T. & Jiang, H. & Krishnamoorthy, M. & Sier, D., 2004. "Staff scheduling and rostering: A review of applications, methods and models," European Journal of Operational Research, Elsevier, vol. 153(1), pages 3-27, February.
    8. Hung, R, 1991. "Single-shift workforce scheduling under a compressed workweek," Omega, Elsevier, vol. 19(5), pages 494-497.
    9. Millar, Harvey H. & Kiragu, Mona, 1998. "Cyclic and non-cyclic scheduling of 12 h shift nurses by network programming," European Journal of Operational Research, Elsevier, vol. 104(3), pages 582-592, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Setareh Boshrouei Shargh & Mostafa Zandieh & Ashkan Ayough & Farbod Farhadi, 2024. "Scheduling in services: a review and bibliometric analysis," Operations Management Research, Springer, vol. 17(2), pages 754-783, June.

    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. 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.
    3. 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.
    4. Tristan Becker & Pia Mareike Steenweg & Brigitte Werners, 2019. "Cyclic shift scheduling with on-call duties for emergency medical services," Health Care Management Science, Springer, vol. 22(4), pages 676-690, December.
    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. Paola Cappanera & Filippo Visintin & Roberta Rossi, 2022. "The emergency department physician rostering problem: obtaining equitable solutions via network optimization," Flexible Services and Manufacturing Journal, Springer, vol. 34(4), pages 916-959, December.
    7. 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.
    8. Tristan Becker, 2020. "A decomposition heuristic for rotational workforce scheduling," Journal of Scheduling, Springer, vol. 23(5), pages 539-554, October.
    9. 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.
    10. 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.
    11. David Rea & Craig Froehle & Suzanne Masterson & Brian Stettler & Gregory Fermann & Arthur Pancioli, 2021. "Unequal but Fair: Incorporating Distributive Justice in Operational Allocation Models," Production and Operations Management, Production and Operations Management Society, vol. 30(7), pages 2304-2320, July.
    12. Ellen Bockstal & Broos Maenhout, 2019. "A study on the impact of prioritising emergency department arrivals on the patient waiting time," Health Care Management Science, Springer, vol. 22(4), pages 589-614, December.
    13. Arpan Rijal & Marco Bijvank & Asvin Goel & René de Koster, 2021. "Workforce Scheduling with Order-Picking Assignments in Distribution Facilities," Transportation Science, INFORMS, vol. 55(3), pages 725-746, May.
    14. Esmaeilbeigi, Rasul & Mak-Hau, Vicky & Yearwood, John & Nguyen, Vivian, 2022. "The multiphase course timetabling problem," European Journal of Operational Research, Elsevier, vol. 300(3), pages 1098-1119.
    15. Emir Demirović & Nysret Musliu & Felix Winter, 2019. "Modeling and solving staff scheduling with partial weighted maxSAT," Annals of Operations Research, Springer, vol. 275(1), pages 79-99, April.
    16. Jens Brunner & Jonathan Bard & Rainer Kolisch, 2009. "Flexible shift scheduling of physicians," Health Care Management Science, Springer, vol. 12(3), pages 285-305, September.
    17. Melanie Erhard, 2021. "Flexible staffing of physicians with column generation," Flexible Services and Manufacturing Journal, Springer, vol. 33(1), pages 212-252, March.
    18. Ferdinand Kiermaier & Markus Frey & Jonathan F. Bard, 2020. "The flexible break assignment problem for large tour scheduling problems with an application to airport ground handlers," Journal of Scheduling, Springer, vol. 23(2), pages 177-209, April.
    19. Vanhoucke, Mario & Maenhout, Broos, 2009. "On the characterization and generation of nurse scheduling problem instances," European Journal of Operational Research, Elsevier, vol. 196(2), pages 457-467, July.
    20. Young-Chae Hong & Amy Cohn & Stephen Gorga & Edmond O’Brien & William Pozehl & Jennifer Zank, 2019. "Using Optimization Techniques and Multidisciplinary Collaboration to Solve a Challenging Real-World Residency Scheduling Problem," Interfaces, INFORMS, vol. 49(3), pages 201-212, May.

    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:spr:jsched:v:26:y:2023:i:3:d:10.1007_s10951-022-00749-3. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.