ENBIS-13 in Ankara

15 – 19 September 2013 Abstract submission: 5 February – 5 June 2013

Models for Nurse Rostering Problem

17 September 2013, 09:00 – 09:20


Submitted by
Banu Yuksel-Ozkaya
Banu Yuksel-Ozkaya (Hacettepe University), Murat Caner Testik (Hacettepe University)
Preparation of nurse rosters is a critical task in all health care institutions. It has a direct effect on the quality of health care delivered since these rosters are prepared in order to efficiently utilize the current staff and balance the workload across nurses while satisfying personal preferences as much as possible. Moreover, these rosters usually signal a need for the recruitment of new nurses. In this study, we develop two mathematical models to find optimal and/or implementable nurse rosters on a rolling horizon. In each of these mathematical models, the constraints cover the legal regulations, capacity restrictions, nurse requirements, weekday/weekend/shift preferences and practices. The historical rosters are also included in the constraints to have a workload balance in days and shifts. These constraints are classified as hard and soft constraints where the soft constraints might be relaxed if a feasible roster cannot be found. The two mathematical models differ by their objective function; e.g. in the first mathematical model, we only prepare a feasible roster and hence use a dummy objective function whereas in the second model, we use penalty functions for imbalance of the workload and overtime requirements. The mathematical models are used to propose several nurse rosters and the rosters provided by each model are compared. These models are also embedded in an interface where the personal preferences, capacity restrictions and nurse requirements are provided by the user.
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