Nurse rostering with fatigue modelling

Kjartan Kastet Klyve (), Ilankaikone Senthooran and Mark Wallace
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Kjartan Kastet Klyve: Norwegian University of Science and Technology
Ilankaikone Senthooran: Monash University
Mark Wallace: Monash University

Health Care Management Science, 2023, vol. 26, issue 1, No 2, 45 pages

Abstract: Abstract We use a real Nurse Rostering Problem and a validated model of human sleep to formulate the Nurse Rostering Problem with Fatigue. The fatigue modelling includes individual biologies, thus enabling personalised schedules for every nurse. We create an approximation of the sleep model in the form of a look-up table, enabling its incorporation into nurse rostering. The problem is solved using an algorithm that combines Mixed-Integer Programming and Constraint Programming with a Large Neighbourhood Search. A post-processing algorithm deals with errors, to produce feasible rosters minimising global fatigue. The results demonstrate the realism of protecting nurses from highly fatiguing schedules and ensuring the alertness of staff. We further demonstrate how minimally increased staffing levels enable lower fatigue, and find evidence to suggest biological complementarity among staff can be used to reduce fatigue. We also demonstrate how tailoring shifts to nurses’ biology reduces the overall fatigue of the team, which means managers must grapple with the issue of fairness in rostering.

Keywords: Nurse rostering; Fatigue; Sleep; Mixed-Integer programming; Constraint programming; Large neighbourhood search; Operations research (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10729-022-09613-4

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