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Solving the Problem of Rerostering Nurse Schedules with Hard Constraints: New Multicommodity Flow Models

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  • Margarida Moz
  • Margarida Pato

Abstract

The problem of rerostering nurse schedules arises in hospitals when at least one nurse informs that she will be unable to perform the shifts assigned to her on one or more future work days. As a result, the current roster must be rebuilt in accordance with labour contract rules and institutional requirements. All such restraints are regarded as hard constraints. However, major alterations in the previously assigned nurse schedules must be avoided. This paper is based on a case study of a public hospital in Portugal. It presents two new integer multicommodity flow formulations for the rerostering problem, besides a computational experiment performed using real data. The first model is based on a directed multilevel acyclic network. The aggregation of nodes in this network led to the second model. The results obtained show that the second integer multicommodity flow formulation outperforms the first, both in terms of solution quality, as well as in computational time. Copyright Kluwer Academic Publishers 2004

Suggested Citation

  • Margarida Moz & Margarida Pato, 2004. "Solving the Problem of Rerostering Nurse Schedules with Hard Constraints: New Multicommodity Flow Models," Annals of Operations Research, Springer, vol. 128(1), pages 179-197, April.
    • Handle: RePEc:spr:annopr:v:128:y:2004:i:1:p:179-197:10.1023/b:anor.0000019104.39239.ed
    DOI: 10.1023/B:ANOR.0000019104.39239.ed
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    Citations

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    Cited by:

    1. Sanja Petrovic & Greet Berghe, 2012. "A comparison of two approaches to nurse rostering problems," Annals of Operations Research, Springer, vol. 194(1), pages 365-384, April.
    2. Yiting Xing & Ling Li & Zhuming Bi & Marzena Wilamowska‐Korsak & Li Zhang, 2013. "Operations Research (OR) in Service Industries: A Comprehensive Review," Systems Research and Behavioral Science, Wiley Blackwell, vol. 30(3), pages 300-353, May.
    3. Deborah L. Kellogg & Steven Walczak, 2007. "Nurse Scheduling: From Academia to Implementation or Not?," Interfaces, INFORMS, vol. 37(4), pages 355-369, August.
    4. Hassani, Rachid & Desaulniers, Guy & Elhallaoui, Issmail, 2021. "Real-time bi-objective personnel re-scheduling in the retail industry," European Journal of Operational Research, Elsevier, vol. 293(1), pages 93-108.
    5. Marta Rocha & José Oliveira & Maria Carravilla, 2014. "A constructive heuristic for staff scheduling in the glass industry," Annals of Operations Research, Springer, vol. 217(1), pages 463-478, June.
    6. 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.
    7. 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.
    8. Wang, Wen-Ya & Gupta, Diwakar & Potthoff, Sandra, 2009. "On evaluating the impact of flexibility enhancing strategies on the performance of nurse schedules," Health Policy, Elsevier, vol. 93(2-3), pages 188-200, December.
    9. Bäumelt, Zdeněk & Dvořák, Jan & Šůcha, Přemysl & Hanzálek, Zdeněk, 2016. "A novel approach for nurse rerostering based on a parallel algorithm," European Journal of Operational Research, Elsevier, vol. 251(2), pages 624-639.
    10. Yücel Öztürkoğlu, 2020. "A Different Approach to Nurse Scheduling Problem: Lagrangian Relaxation," Alphanumeric Journal, Bahadir Fatih Yildirim, vol. 8(2), pages 237-248, December.
    11. Wolbeck, Lena & Kliewer, Natalia & Marques, Inês, 2020. "Fair shift change penalization scheme for nurse rescheduling problems," European Journal of Operational Research, Elsevier, vol. 284(3), pages 1121-1135.
    12. E. Veen & J. L. Hurink & J. M. J. Schutten & S. T. Uijland, 2016. "A flexible iterative improvement heuristic to support creation of feasible shift rosters in self-rostering," Annals of Operations Research, Springer, vol. 239(1), pages 189-206, April.
    13. Khodakaram Salimifard & Sara Bigharaz, 2022. "The multicommodity network flow problem: state of the art classification, applications, and solution methods," Operational Research, Springer, vol. 22(1), pages 1-47, March.
    14. Maenhout, Broos & Vanhoucke, Mario, 2018. "A perturbation matheuristic for the integrated personnel shift and task re-scheduling problem," European Journal of Operational Research, Elsevier, vol. 269(3), pages 806-823.
    15. Christopher N. Gross & Andreas Fügener & Jens O. Brunner, 2018. "Online rescheduling of physicians in hospitals," Flexible Services and Manufacturing Journal, Springer, vol. 30(1), pages 296-328, June.

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