A heuristic algorithm based on multiassignment procedures for nurse scheduling

Constantino, Ademir Aparecido; Landa-Silva, Dario; de Melo, Everton Luiz; de Mendonza, Candido Ferreira Xavier; Rizzato, Douglas Baroni; Romao, Wesley

Abstract

This paper tackles a Nurse Scheduling Problem which consists of generating work schedules for a set of nurses while considering their shift preferences and other requirements. The objective is to maximize the satisfaction of nurses? preferences and minimize the violation of soft constraints. This paper presents a new deterministic heuristic algorithm, called MAPA (multi-assignment problem-based algorithm), which is based on successive resolutions of the assignment problem. The algorithm has two phases: a constructive phase and an improvement phase. The constructive phase builds a full schedule by solving successive assignment problems, one for each day in the planning period. The improvement phase uses a couple of procedures that re-solve assignment problems to produce a better schedule. Given the deterministic nature of this algorithm, the same schedule is obtained each time that the algorithm is applied to the same problem instance. The performance of MAPA is benchmarked against published results for almost 250,000 instances from the NSPLib dataset. In most cases, particularly on large instances of the problem, the results produced by MAPA are better when compared to best-known solutions from the literature. The experiments reported here also show that the MAPA algorithm finds more feasible solutions compared with other algorithms in the literature, which suggest that this proposed approach is effective and robust.

Citation

Constantino, A. A., Landa-Silva, D., de Melo, E. L., de Mendonza, C. F. X., Rizzato, D. B., & Romao, W. (2014). A heuristic algorithm based on multiassignment procedures for nurse scheduling. Annals of Operations Research, 218(1), https://doi.org/10.1007/s10479-013-1357-9

• Journal Article Type: Article
• Publication Date: Jul 1, 2014
• Deposit Date: Jan 22, 2016
• Publicly Available Date: Jan 22, 2016
• Journal: Annals of Operations Research
• Print ISSN: 0254-5330
• Electronic ISSN: 1572-9338
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 218
• Issue: 1
• DOI: https://doi.org/10.1007/s10479-013-1357-9
• Keywords: nurse scheduling, personnel scheduling, assignment problem, heuristics metaheuristics
• Public URL: https://nottingham-repository.worktribe.com/output/994960
• Publisher URL: http://link.springer.com/article/10.1007/s10479-013-1357-9
• Additional Information: The final publication is available at Springer via http://dx.doi.org/10.1007/s10479-013-1357-9