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A Pareto-based search methodology for multi-objective nurse scheduling

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  • Edmund Burke
  • Jingpeng Li
  • Rong Qu

Abstract

In this paper, we propose a search technique for nurse scheduling, which deals with it as a multi-objective problem. For each nurse, we first randomly generate a set of legal shift patterns which satisfy all shift-related hard constraints. We then employ an adaptive heuristic to quickly find a solution with the least number of violations on the coverage-related hard constraint by assigning one of the available shift patterns of each nurse. Next, we apply a coverage repairing procedure to make the resulting solution feasible, by adding/removing any under-covered/over-covered shifts. Finally, to satisfy the soft constraints (or preferences), we present a simulated annealing based search method with the following two options: one with a weighted-sum evaluation function which encourages moves towards users’ predefined preferences, and another one with a domination-based evaluation function which encourages moves towards a more diversified approximated Pareto set. Computational results demonstrate that the proposed technique is applicable to modern hospital environments. Copyright Springer Science+Business Media, LLC 2012

Suggested Citation

  • Edmund Burke & Jingpeng Li & Rong Qu, 2012. "A Pareto-based search methodology for multi-objective nurse scheduling," Annals of Operations Research, Springer, vol. 196(1), pages 91-109, July.
  • Handle: RePEc:spr:annopr:v:196:y:2012:i:1:p:91-109:10.1007/s10479-009-0590-8
    DOI: 10.1007/s10479-009-0590-8
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    1. Li, Jingpeng & Kwan, Raymond S. K., 2003. "A fuzzy genetic algorithm for driver scheduling," European Journal of Operational Research, Elsevier, vol. 147(2), pages 334-344, June.
    2. Berrada, Ilham & Ferland, Jacques A. & Michelon, Philippe, 1996. "A multi-objective approach to nurse scheduling with both hard and soft constraints," Socio-Economic Planning Sciences, Elsevier, vol. 30(3), pages 183-193, September.
    3. Michael J. Brusco & Larry W. Jacobs, 1993. "A simulated annealing approach to the cyclic staff‐scheduling problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(1), pages 69-84, February.
    4. Cheang, B. & Li, H. & Lim, A. & Rodrigues, B., 2003. "Nurse rostering problems--a bibliographic survey," European Journal of Operational Research, Elsevier, vol. 151(3), pages 447-460, December.
    5. B Suman & P Kumar, 2006. "A survey of simulated annealing as a tool for single and multiobjective optimization," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(10), pages 1143-1160, October.
    6. Dowsland, Kathryn A., 1998. "Nurse scheduling with tabu search and strategic oscillation," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 393-407, April.
    7. Jaumard, Brigitte & Semet, Frederic & Vovor, Tsevi, 1998. "A generalized linear programming model for nurse scheduling," European Journal of Operational Research, Elsevier, vol. 107(1), pages 1-18, May.
    8. Beaumont, Nicholas, 1997. "Scheduling staff using mixed integer programming," European Journal of Operational Research, Elsevier, vol. 98(3), pages 473-484, May.
    9. D. Michael Warner & Juan Prawda, 1972. "A Mathematical Programming Model for Scheduling Nursing Personnel in a Hospital," Management Science, INFORMS, vol. 19(4-Part-1), pages 411-422, December.
    10. Easton, Fred F. & Mansour, Nashat, 1999. "A distributed genetic algorithm for deterministic and stochastic labor scheduling problems," European Journal of Operational Research, Elsevier, vol. 118(3), pages 505-523, November.
    11. Burke, Edmund K. & Curtois, Timothy & Post, Gerhard & Qu, Rong & Veltman, Bart, 2008. "A hybrid heuristic ordering and variable neighbourhood search for the nurse rostering problem," European Journal of Operational Research, Elsevier, vol. 188(2), pages 330-341, July.
    12. G Beddoe & S Petrovic, 2007. "Enhancing case-based reasoning for personnel rostering with selected tabu search concepts," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(12), pages 1586-1598, December.
    13. S Fores & L Proll & A Wren, 2002. "TRACS II: a hybrid IP/heuristic driver scheduling system for public transport," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(10), pages 1093-1100, October.
    14. Hadi W. Purnomo & Jonathan F. Bard, 2007. "Cyclic preference scheduling for nurses using branch and price," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(2), pages 200-220, March.
    15. E.K. Burke & J.P. Newall, 2004. "Solving Examination Timetabling Problems through Adaption of Heuristic Orderings," Annals of Operations Research, Springer, vol. 129(1), pages 107-134, July.
    16. 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.
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    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. Kibaek Kim & Sanjay Mehrotra, 2015. "A Two-Stage Stochastic Integer Programming Approach to Integrated Staffing and Scheduling with Application to Nurse Management," Operations Research, INFORMS, vol. 63(6), pages 1431-1451, December.
    3. Ademir Constantino & Dario Landa-Silva & Everton Melo & Candido Mendonça & Douglas Rizzato & Wesley Romão, 2014. "A heuristic algorithm based on multi-assignment procedures for nurse scheduling," Annals of Operations Research, Springer, vol. 218(1), pages 165-183, July.
    4. Gülcin Ermis & Can Akkan, 2019. "Search algorithms for improving the pareto front in a timetabling problem with a solution network-based robustness measure," Annals of Operations Research, Springer, vol. 275(1), pages 101-121, April.
    5. 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.

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