IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v155y2007i1p177-20510.1007-s10479-007-0222-0.html
   My bibliography  Save this article

Bechtold-Jacobs generalized model for shift scheduling with extraordinary overlap

Author

Listed:
  • Idris Addou
  • François Soumis

Abstract

In constructing working shifts, the classical Dantzig (Operation Research 2:339–341, 1954 ) set covering model uses a great number of variables which makes computation very complicated for some cases that incorporate a high degree of break-placement flexibility. Bechtold and Jacobs (Management Science 36:1339–1351, 1990 ) proposed an implicit model under the assumption that there is no extraordinary overlap, which considerably reduced the number of variables. In this paper we give a generalization that is valid without this hypothesis by adding a minimal set of constraints. Also, in some cases where there is extraordinary overlap we reduce our constraint set to a subset with the same number or less than that of Bechtold and Jacobs. Copyright Springer Science+Business Media, LLC 2007

Suggested Citation

  • Idris Addou & François Soumis, 2007. "Bechtold-Jacobs generalized model for shift scheduling with extraordinary overlap," Annals of Operations Research, Springer, vol. 155(1), pages 177-205, November.
    • Handle: RePEc:spr:annopr:v:155:y:2007:i:1:p:177-205:10.1007/s10479-007-0222-0
    DOI: 10.1007/s10479-007-0222-0
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-007-0222-0
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10479-007-0222-0?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. Hesham Alfares, 2004. "Survey, Categorization, and Comparison of Recent Tour Scheduling Literature," Annals of Operations Research, Springer, vol. 127(1), pages 145-175, March.
    2. Stephen E. Bechtold & Larry W. Jacobs, 1996. "The equivalence of general set‐covering and implicit integer programming formulations for shift scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(2), pages 233-249, March.
    3. A.T. Ernst & H. Jiang & M. Krishnamoorthy & B. Owens & D. Sier, 2004. "An Annotated Bibliography of Personnel Scheduling and Rostering," Annals of Operations Research, Springer, vol. 127(1), pages 21-144, March.
    4. Seyda Topaloglu & Irem Ozkarahan, 2004. "An Implicit Goal Programming Model for the Tour Scheduling Problem Considering the Employee Work Preferences," Annals of Operations Research, Springer, vol. 128(1), pages 135-158, April.
    5. 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.
    6. Mark Isken, 2004. "An Implicit Tour Scheduling Model with Applications in Healthcare," Annals of Operations Research, Springer, vol. 128(1), pages 91-109, April.
    7. Turgut Aykin, 1996. "Optimal Shift Scheduling with Multiple Break Windows," Management Science, INFORMS, vol. 42(4), pages 591-602, April.
    8. 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.
    9. Ahmad I. Z. Jarrah & Jonathan F. Bard & Anura H. deSilva, 1994. "Solving Large-Scale Tour Scheduling Problems," Management Science, INFORMS, vol. 40(9), pages 1124-1144, September.
    10. 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.
    11. 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.
    12. Aykin, Turgut, 2000. "A comparative evaluation of modeling approaches to the labor shift scheduling problem," European Journal of Operational Research, Elsevier, vol. 125(2), pages 381-397, September.
    13. Larry W. Jacobs & Michael J. Brusco, 1996. "Overlapping Start-Time Bands in Implicit Tour Scheduling," Management Science, INFORMS, vol. 42(9), pages 1247-1259, September.
    14. Gary M. Thompson, 1995. "Improved Implicit Optimal Modeling of the Labor Shift Scheduling Problem," Management Science, INFORMS, vol. 41(4), pages 595-607, April.
    15. 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.
    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. 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.
    2. 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.

    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. 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.
    2. 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.
    3. Oyku Ahipasaoglu & Nesim Erkip & Oya Ekin Karasan, 2019. "The venue management problem: setting staffing levels, shifts and shift schedules at concession stands," Journal of Scheduling, Springer, vol. 22(1), pages 69-83, February.
    4. 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.
    5. 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.
    6. María I. Restrepo & Bernard Gendron & Louis-Martin Rousseau, 2016. "Branch-and-Price for Personalized Multiactivity Tour Scheduling," INFORMS Journal on Computing, INFORMS, vol. 28(2), pages 334-350, May.
    7. 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.
    8. Alex Bonutti & Sara Ceschia & Fabio De Cesco & Nysret Musliu & Andrea Schaerf, 2017. "Modeling and solving a real-life multi-skill shift design problem," Annals of Operations Research, Springer, vol. 252(2), pages 365-382, May.
    9. Hua Ni & Hernán Abeledo, 2007. "A branch-and-price approach for large-scale employee tour scheduling problems," Annals of Operations Research, Springer, vol. 155(1), pages 167-176, November.
    10. 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.
    11. Robbins, Thomas R. & Harrison, Terry P., 2010. "A stochastic programming model for scheduling call centers with global Service Level Agreements," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1608-1619, December.
    12. Lusby, Richard Martin & Range, Troels Martin & Larsen, Jesper, 2016. "A Benders decomposition-based matheuristic for the Cardinality Constrained Shift Design Problem," European Journal of Operational Research, Elsevier, vol. 254(2), pages 385-397.
    13. 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.
    14. Rana Shariat & Kai Huang, 2024. "A large-scale neighborhood search algorithm for multi-activity tour scheduling problems," Journal of Heuristics, Springer, vol. 30(5), pages 225-267, December.
    15. Lusby, Richard Martin & Range, Troels Martin & Larsen, Jesper, 2015. "A Benders decomposition-based Matheuristic for the Cardinality Constrained Shift Design Problem," Discussion Papers on Economics 9/2015, University of Southern Denmark, Department of Economics.
    16. Aykin, Turgut, 2000. "A comparative evaluation of modeling approaches to the labor shift scheduling problem," European Journal of Operational Research, Elsevier, vol. 125(2), pages 381-397, September.
    17. 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.
    18. Örmeci, E. Lerzan & Salman, F. Sibel & Yücel, Eda, 2014. "Staff rostering in call centers providing employee transportation," Omega, Elsevier, vol. 43(C), pages 41-53.
    19. Ağralı, Semra & Taşkın, Z. Caner & Ünal, A. Tamer, 2017. "Employee scheduling in service industries with flexible employee availability and demand," Omega, Elsevier, vol. 66(PA), pages 159-169.
    20. Jonathan Bard & David Morton & Yong Wang, 2007. "Workforce planning at USPS mail processing and distribution centers using stochastic optimization," Annals of Operations Research, Springer, vol. 155(1), pages 51-78, November.

    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:annopr:v:155:y:2007:i:1:p:177-205:10.1007/s10479-007-0222-0. 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.