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Solving the multi-objective nurse scheduling problem with a weighted cost function

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  • D. Parr
  • J. Thompson

Abstract

The primary objective of the nurse scheduling problem is to ensure there are sufficient nurses on each shift. There are also a number of secondary objectives designed to make the schedule more pleasant. Neighbourhood search implementations use a weighted cost function with the weights dependent on the importance of each objective. Setting the weights on binding constraints so they are satisfied but still allow the search to find good solutions is difficult. This paper compares two methods for overcoming this problem, SAWing and Noising with simulated annealing and demonstrates that Noising produces better schedules. Copyright Springer Science+Business Media, LLC 2007

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  • D. Parr & J. Thompson, 2007. "Solving the multi-objective nurse scheduling problem with a weighted cost function," Annals of Operations Research, Springer, vol. 155(1), pages 279-288, November.
  • Handle: RePEc:spr:annopr:v:155:y:2007:i:1:p:279-288:10.1007/s10479-007-0202-4
    DOI: 10.1007/s10479-007-0202-4
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    References listed on IDEAS

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    1. 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.
    2. Bellanti, F. & Carello, G. & Della Croce, F. & Tadei, R., 2004. "A greedy-based neighborhood search approach to a nurse rostering problem," European Journal of Operational Research, Elsevier, vol. 153(1), pages 28-40, February.
    3. Kenneth R. Baker & Michael J. Magazine, 1977. "Workforce Scheduling with Cyclic Demands and Day-Off Constraints," Management Science, INFORMS, vol. 24(2), pages 161-167, October.
    4. Charon, Irene & Hudry, Olivier, 2001. "The noising methods: A generalization of some metaheuristics," European Journal of Operational Research, Elsevier, vol. 135(1), pages 86-101, November.
    5. 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.
    6. Fred Glover, 1989. "Tabu Search---Part I," INFORMS Journal on Computing, INFORMS, vol. 1(3), pages 190-206, August.
    7. D. Abramson, 1991. "Constructing School Timetables Using Simulated Annealing: Sequential and Parallel Algorithms," Management Science, INFORMS, vol. 37(1), pages 98-113, January.
    8. K A Dowsland & J M Thompson, 2000. "Solving a nurse scheduling problem with knapsacks, networks and tabu search," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(7), pages 825-833, July.
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    3. Wolbeck, Lena Antonia, 2019. "Fairness aspects in personnel scheduling," Discussion Papers 2019/16, Free University Berlin, School of Business & Economics.
    4. 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.
    5. Sophie Veldhoven & Gerhard Post & Egbert Veen & Tim Curtois, 2016. "An assessment of a days off decomposition approach to personnel shift scheduling," Annals of Operations Research, Springer, vol. 239(1), pages 207-223, April.
    6. Mohammad Reza Hassani & J. Behnamian, 2021. "A scenario-based robust optimization with a pessimistic approach for nurse rostering problem," Journal of Combinatorial Optimization, Springer, vol. 41(1), pages 143-169, January.
    7. 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.
    8. 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.
    9. Mauro Falasca & Christopher Zobel & Cliff Ragsdale, 2011. "Helping a Small Development Organization Manage Volunteers More Efficiently," Interfaces, INFORMS, vol. 41(3), pages 254-262, June.
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    11. D. Wooff & S. Stirling, 2015. "Practical statistical methods for call centres with a case study addressing urgent medical care delivery," Annals of Operations Research, Springer, vol. 233(1), pages 501-515, October.
    12. Vanhoucke, Mario & Maenhout, Broos, 2009. "On the characterization and generation of nurse scheduling problem instances," European Journal of Operational Research, Elsevier, vol. 196(2), pages 457-467, July.
    13. Nieves Brisaboa & Luisa Carpente & Ana Cerdeira-Pena & Silvia Lorenzo-Freire, 2015. "Optimization in dubbing scheduling," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(3), pages 685-702, October.
    14. Peyman Kiani Nahand & Mahdi Hamid & Mahdi Bastan & Ali Mollajan, 2019. "Human resource management: new approach to nurse scheduling by considering human error," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(6), pages 1429-1443, December.
    15. Tom Rihm & Philipp Baumann, 2018. "Staff assignment with lexicographically ordered acceptance levels," Journal of Scheduling, Springer, vol. 21(2), pages 167-189, April.
    16. Falasca, Mauro & Zobel, Christopher, 2012. "An optimization model for volunteer assignments in humanitarian organizations," Socio-Economic Planning Sciences, Elsevier, vol. 46(4), pages 250-260.

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