IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v181y2010i1p539-55710.1007-s10479-010-0785-z.html
   My bibliography  Save this article

Near-optimal solution to an employee assignment problem with seniority

Author

Abstract

I consider the problem of weekly assignment of shifts to operators. The shifts are to be assigned by seniority (or by any other employee hierarchy), but every employee is guaranteed to receive at least one shift. I propose a practical solution method to this problem that guarantees a feasible solution. As an application, the solution method is applied to the data provided in the literature on weekly shift assignment of the operators of the New Brunswick Telephone company. The solution method is also applied to 100 randomly generated problems. The results show that the solution method produces close-to-optimal solutions. Copyright Springer Science+Business Media, LLC 2010

Suggested Citation

  • Mehran Hojati, 2010. "Near-optimal solution to an employee assignment problem with seniority," Annals of Operations Research, Springer, vol. 181(1), pages 539-557, December.
  • Handle: RePEc:spr:annopr:v:181:y:2010:i:1:p:539-557:10.1007/s10479-010-0785-z
    DOI: 10.1007/s10479-010-0785-z
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-010-0785-z
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s10479-010-0785-z?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. E. Rod Butchers & Paul R. Day & Andrew P. Goldie & Stephen Miller & Jeff A. Meyer & David M. Ryan & Amanda C. Scott & Chris A. Wallace, 2001. "Optimized Crew Scheduling at Air New Zealand," Interfaces, INFORMS, vol. 31(1), pages 30-56, February.
    2. Michel Gamache & François Soumis & Daniel Villeneuve & Jacques Desrosiers & Éric Gélinas, 1998. "The Preferential Bidding System at Air Canada," Transportation Science, INFORMS, vol. 32(3), pages 246-255, August.
    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. Gary M. Thompson, 1997. "Assigning Telephone Operators to Shifts at New Brunswick Telephone Company," Interfaces, INFORMS, vol. 27(4), pages 1-11, August.
    5. Gaétan Caron & Pierri Hansen & Brigitte Jaumard, 1999. "The Assignment Problem with Seniority and Job Priority Constraints," Operations Research, INFORMS, vol. 47(3), pages 449-453, June.
    6. Heykel Achour & Michel Gamache & François Soumis & Guy Desaulniers, 2007. "An Exact Solution Approach for the Preferential Bidding System Problem in the Airline Industry," Transportation Science, INFORMS, vol. 41(3), pages 354-365, August.
    7. Niklas Kohl & Stefan Karisch, 2004. "Airline Crew Rostering: Problem Types, Modeling, and Optimization," Annals of Operations Research, Springer, vol. 127(1), pages 223-257, March.
    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. 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.
    2. Jaime Miranda & Pablo A. Rey & Antoine Sauré & Richard Weber, 2018. "Metro Uses a Simulation-Optimization Approach to Improve Fare-Collection Shift Scheduling," Interfaces, INFORMS, vol. 48(6), pages 529-542, November.
    3. 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.
    4. De Bruecker, Philippe & Van den Bergh, Jorne & Beliën, Jeroen & Demeulemeester, Erik, 2015. "Workforce planning incorporating skills: State of the art," European Journal of Operational Research, Elsevier, vol. 243(1), pages 1-16.
    5. Kozanidis, George, 2017. "Optimal assignment of aircrew trainees to simulator and classroom training sessions subject to seniority and preference restrictions," Journal of Air Transport Management, Elsevier, vol. 59(C), pages 143-154.

    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. Boubaker, Khaled & Desaulniers, Guy & Elhallaoui, Issmail, 2010. "Bidline scheduling with equity by heuristic dynamic constraint aggregation," Transportation Research Part B: Methodological, Elsevier, vol. 44(1), pages 50-61, January.
    2. Atoosa Kasirzadeh & Mohammed Saddoune & François Soumis, 2017. "Airline crew scheduling: models, algorithms, and data sets," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 6(2), pages 111-137, June.
    3. Maenhout, Broos & Vanhoucke, Mario, 2010. "A hybrid scatter search heuristic for personalized crew rostering in the airline industry," European Journal of Operational Research, Elsevier, vol. 206(1), pages 155-167, October.
    4. Jesica Armas & Luis Cadarso & Angel A. Juan & Javier Faulin, 2017. "A multi-start randomized heuristic for real-life crew rostering problems in airlines with work-balancing goals," Annals of Operations Research, Springer, vol. 258(2), pages 825-848, November.
    5. Cynthia Barnhart & Amy Cohn, 2004. "Airline Schedule Planning: Accomplishments and Opportunities," Manufacturing & Service Operations Management, INFORMS, vol. 6(1), pages 3-22, November.
    6. Panta Lučić & Dušan Teodorović, 2007. "Metaheuristics approach to the aircrew rostering problem," Annals of Operations Research, Springer, vol. 155(1), pages 311-338, November.
    7. Sebastian Ruther & Natashia Boland & Faramroze G. Engineer & Ian Evans, 2017. "Integrated Aircraft Routing, Crew Pairing, and Tail Assignment: Branch-and-Price with Many Pricing Problems," Transportation Science, INFORMS, vol. 51(1), pages 177-195, February.
    8. Pastor, Rafael & Olivella, Jordi, 2008. "Selecting and adapting weekly work schedules with working time accounts: A case of a retail clothing chain," European Journal of Operational Research, Elsevier, vol. 184(1), pages 1-12, January.
    9. Cynthia Barnhart & Peter Belobaba & Amedeo R. Odoni, 2003. "Applications of Operations Research in the Air Transport Industry," Transportation Science, INFORMS, vol. 37(4), pages 368-391, November.
    10. Asvin Goel & Thibaut Vidal, 2014. "Hours of Service Regulations in Road Freight Transport: An Optimization-Based International Assessment," Transportation Science, INFORMS, vol. 48(3), pages 391-412, August.
    11. Ralf Borndörfer & Guillaume Sagnol & Thomas Schlechte & Elmar Swarat, 2017. "Optimal duty rostering for toll enforcement inspectors," Annals of Operations Research, Springer, vol. 252(2), pages 383-406, May.
    12. Dohn, Anders & Mason, Andrew, 2013. "Branch-and-price for staff rostering: An efficient implementation using generic programming and nested column generation," European Journal of Operational Research, Elsevier, vol. 230(1), pages 157-169.
    13. Paola Cappanera & Giorgio Gallo, 2004. "A Multicommodity Flow Approach to the Crew Rostering Problem," Operations Research, INFORMS, vol. 52(4), pages 583-596, August.
    14. Sanja Petrovic, 2019. "“You have to get wet to learn how to swim” applied to bridging the gap between research into personnel scheduling and its implementation in practice," Annals of Operations Research, Springer, vol. 275(1), pages 161-179, April.
    15. Hannah K. Smalley & Pınar Keskinocak & Atul Vats, 2015. "Physician Scheduling for Continuity: An Application in Pediatric Intensive Care," Interfaces, INFORMS, vol. 45(2), pages 133-148, April.
    16. Quesnel, Frédéric & Desaulniers, Guy & Soumis, François, 2020. "A branch-and-price heuristic for the crew pairing problem with language constraints," European Journal of Operational Research, Elsevier, vol. 283(3), pages 1040-1054.
    17. Lin, Shih-Wei & Ying, Kuo-Ching, 2014. "Minimizing shifts for personnel task scheduling problems: A three-phase algorithm," European Journal of Operational Research, Elsevier, vol. 237(1), pages 323-334.
    18. Kozanidis, George, 2017. "Optimal assignment of aircrew trainees to simulator and classroom training sessions subject to seniority and preference restrictions," Journal of Air Transport Management, Elsevier, vol. 59(C), pages 143-154.
    19. 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.
    20. Asvin Goel, 2010. "Truck Driver Scheduling in the European Union," Transportation Science, INFORMS, vol. 44(4), pages 429-441, 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:181:y:2010:i:1:p:539-557:10.1007/s10479-010-0785-z. 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.