Operations research problem, paradigm of constrained scheduling problems
The nurse scheduling problem (NSP), also called the nurse rostering problem (NRP), is the operations research problem of finding an optimal way to assign nurses to shifts, typically with a set of hard constraints which all valid solutions must follow, and a set of soft constraints which define the relative quality of valid solutions.[1] Solutions to the nurse scheduling problem can be applied to constrained scheduling problems in other fields.[2][3]
While research on computer-assisted employee scheduling goes back to the 1950s,[4] the nurse scheduling problem in its current form was introduced in two parallel publications in 1976.[5][6] It is known to have NP-hard complexity.[1]
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Solos, Ioannis; Tassopoulos, Ioannis; Beligiannis, Grigorios (21 May 2013). "A Generic Two-Phase Stochastic Variable Neighborhood Approach for Effectively Solving the Nurse Rostering Problem". Algorithms. 6 (2): 278–308. doi:10.3390/a6020278.
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Aickelin, Uwe; Dowsland, Kathryn A. (2004). "An Indirect Genetic Algorithm for a Nurse Scheduling Problem". Computers & Operations Research. 31 (5): 761–778. arXiv:0803.2969. doi:10.1016/s0305-0548(03)00034-0. S2CID 8772185.
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Beddoe, Gareth; Petrovic, Sanja (2003). "A novel approach to finding feasible solutions to personnel rostering problems" (PDF). Savannah, Georgia: Proceedings of the 14th Annual Conference of the Production and Operation Management Society: 1–13. Retrieved 20 March 2014. {{cite journal}}: Cite journal requires |journal= (help)
^Bailey, Norman T. J. (1956). "Statistics in Hospital Planning and Design". Journal of the Royal Statistical Society Series C: Applied Statistics. 5 (3). Oxford University Press: 146–157. doi:10.2307/2985416. JSTOR 2985416. Retrieved 14 December 2023.
^Miller, Holmes E.; Pierskalla, William P.; Rath, Gustave J. (1976). "Nurse Scheduling Using Mathematical Programming". Operations Research. 24 (5). INFORMS: 857–870. doi:10.1287/opre.24.5.857. Retrieved 14 December 2023.
^Warner, D. Michael (1976). "Scheduling Nursing Personnel According to Nursing Preference: A Mathematical Programming Approach". Operations Research. 24 (5). INFORMS: 842–856. doi:10.1287/opre.24.5.842. Retrieved 14 December 2023.
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