IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v249y2016i1p67-75.html
   My bibliography  Save this article

Polynomially solvable personnel rostering problems

Author

Listed:
  • Smet, Pieter
  • Brucker, Peter
  • De Causmaecker, Patrick
  • Vanden Berghe, Greet

Abstract

Personnel rostering is a personnel scheduling problem in which shifts are assigned to employees, subject to complex organisational and contractual time-related constraints. Academic advances in this domain mainly focus on solving specific variants of this problem using intricate exact or (meta)heuristic algorithms, while little attention has been devoted to studying the underlying structure of the problems. The general assumption is that these problems, even in their most simplified form, are NP-hard. However, such claims are rarely supported with a proof for the problem under study. The present paper refutes this assumption by presenting minimum cost network flow formulations for several personnel rostering problems. Additionally, these problems are situated among the existing academic literature to obtain insights into what makes personnel rostering hard.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:249:y:2016:i:1:p:67-75
    DOI: 10.1016/j.ejor.2015.08.025
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221715007626
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2015.08.025?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. Gerhard Post & Samad Ahmadi & Sophia Daskalaki & Jeffrey Kingston & Jari Kyngas & Cimmo Nurmi & David Ranson, 2012. "An XML format for benchmarks in High School Timetabling," Annals of Operations Research, Springer, vol. 194(1), pages 385-397, April.
    3. Billionnet, Alain, 1999. "Integer programming to schedule a hierarchical workforce with variable demands," European Journal of Operational Research, Elsevier, vol. 114(1), pages 105-114, April.
    4. 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.
    5. Pieter Smet & Burak Bilgin & Patrick De Causmaecker & Greet Vanden Berghe, 2014. "Modelling and evaluation issues in nurse rostering," Annals of Operations Research, Springer, vol. 218(1), pages 303-326, July.
    6. Brucker, Peter & Qu, Rong & Burke, Edmund, 2011. "Personnel scheduling: Models and complexity," European Journal of Operational Research, Elsevier, vol. 210(3), pages 467-473, May.
    7. 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.
    8. 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.
    9. Pentico, David W., 2007. "Assignment problems: A golden anniversary survey," European Journal of Operational Research, Elsevier, vol. 176(2), pages 774-793, January.
    10. Edmund K. Burke & Timothy Curtois & Rong Qu & Greet Vanden Berghe, 2013. "A Time Predefined Variable Depth Search for Nurse Rostering," INFORMS Journal on Computing, INFORMS, vol. 25(3), pages 411-419, August.
    11. Bard, Jonathan F. & Purnomo, Hadi W., 2005. "Preference scheduling for nurses using column generation," European Journal of Operational Research, Elsevier, vol. 164(2), pages 510-534, July.
    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. Böðvarsdóttir, Elín Björk & Smet, Pieter & Vanden Berghe, Greet & Stidsen, Thomas J.R., 2021. "Achieving compromise solutions in nurse rostering by using automatically estimated acceptance thresholds," European Journal of Operational Research, Elsevier, vol. 292(3), pages 980-995.
    2. Komarudin & Tim De Feyter & Marie-Anne Guerry & Greet Vanden Berghe, 2020. "The extended roster quality staffing problem: addressing roster quality variation within a staffing planning period," Journal of Scheduling, Springer, vol. 23(2), pages 253-264, April.
    3. Elín Björk Böðvarsdóttir & Niels-Christian Fink Bagger & Laura Elise Høffner & Thomas J. R. Stidsen, 2022. "A flexible mixed integer programming-based system for real-world nurse rostering," Journal of Scheduling, Springer, vol. 25(1), pages 59-88, February.
    4. Lai, David S.W. & Leung, Janny M.Y. & Dullaert, Wout & Marques, Inês, 2020. "A graph-based formulation for the shift rostering problem," European Journal of Operational Research, Elsevier, vol. 284(1), pages 285-300.
    5. Sara Ceschia & Nguyen Dang & Patrick Causmaecker & Stefaan Haspeslagh & Andrea Schaerf, 2019. "The Second International Nurse Rostering Competition," Annals of Operations Research, Springer, vol. 274(1), pages 171-186, March.
    6. Castaño, Fabián & Velasco, Nubia, 2020. "Exact and heuristic approaches for the automated design of medical trainees rotation schedules," Omega, Elsevier, vol. 97(C).
    7. Youngbum Hur & Jonathan F. Bard & Markus Frey & Ferdinand Kiermaier, 2019. "An investigation of shift and break flexibility with real-time break assignments using a rolling horizon approach," Flexible Services and Manufacturing Journal, Springer, vol. 31(1), pages 174-211, March.
    8. 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.

    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. da Cunha, Joaquim J. & de Souza, Mauricio C., 2018. "A linearized model for academic staff assignment in a Brazilian university focusing on performance gain in quality indicators," International Journal of Production Economics, Elsevier, vol. 197(C), pages 43-51.
    3. 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.
    4. Brusco, Michael J., 2015. "A bicriterion algorithm for the allocation of cross-trained workers based on operational and human resource objectives," European Journal of Operational Research, Elsevier, vol. 247(1), pages 46-59.
    5. Volland, Jonas & Fügener, Andreas & Brunner, Jens O., 2017. "A column generation approach for the integrated shift and task scheduling problem of logistics assistants in hospitals," European Journal of Operational Research, Elsevier, vol. 260(1), pages 316-334.
    6. 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.
    7. 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.
    8. Emir Hüseyin Özder & Evrencan Özcan & Tamer Eren, 2019. "Staff Task-Based Shift Scheduling Solution with an ANP and Goal Programming Method in a Natural Gas Combined Cycle Power Plant," Mathematics, MDPI, vol. 7(2), pages 1-26, February.
    9. Lai, David S.W. & Leung, Janny M.Y. & Dullaert, Wout & Marques, Inês, 2020. "A graph-based formulation for the shift rostering problem," European Journal of Operational Research, Elsevier, vol. 284(1), pages 285-300.
    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. 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.
    12. De Bruecker, Philippe & Beliën, Jeroen & Van den Bergh, Jorne & Demeulemeester, Erik, 2018. "A three-stage mixed integer programming approach for optimizing the skill mix and training schedules for aircraft maintenance," European Journal of Operational Research, Elsevier, vol. 267(2), pages 439-452.
    13. Smirnov, Dmitry & Huchzermeier, Arnd, 2020. "Analytics for labor planning in systems with load-dependent service times," European Journal of Operational Research, Elsevier, vol. 287(2), pages 668-681.
    14. Ladier, Anne-Laure & Alpan, Gülgün & Penz, Bernard, 2014. "Joint employee weekly timetabling and daily rostering: A decision-support tool for a logistics platform," European Journal of Operational Research, Elsevier, vol. 234(1), pages 278-291.
    15. Vlado Popović & Milorad Kilibarda & Milan Andrejić & Borut Jereb & Dejan Dragan, 2021. "A New Sustainable Warehouse Management Approach for Workforce and Activities Scheduling," Sustainability, MDPI, vol. 13(4), pages 1-19, February.
    16. 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.
    17. Zhang, Zizhen & Qin, Hu & Wang, Kai & He, Huang & Liu, Tian, 2017. "Manpower allocation and vehicle routing problem in non-emergency ambulance transfer service," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 106(C), pages 45-59.
    18. Annear, Luis Mauricio & Akhavan-Tabatabaei, Raha & Schmid, Verena, 2023. "Dynamic assignment of a multi-skilled workforce in job shops: An approximate dynamic programming approach," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1109-1125.
    19. 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.
    20. 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.

    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:eee:ejores:v:249:y:2016:i:1:p:67-75. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.