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Assigning patients to rooms and nurses to patients are critical tasks withinhospitals that directly affect patient and staff satisfaction, quality of care,and hospital efficiency. Both patient-to-room assignments and nurse-to-patientassignments are typically agreed upon at the ward level, and they interact inseveral ways such as jointly determining the walking distances nurses mustcover between different patient rooms. This motivates to consider both problemsjointly in an integrated fashion.  This paper presents the first optimization models and algorithms for theintegrated patient-to-room and nurse-to-patient assignment problem. We providea mixed integer programming formulation of the integrated problem thatconsiders the typical objectives from the single problems as well as additionalobjectives that can only be properly evaluated when integrating both problems.Moreover, motivated by the inherent complexity that results from integratingthese two NP-hard and already computationally challenging problems, we devisean efficient heuristic for the integrated patient-to-room and nurse-to-patientassignment problem. To evaluate the running time and quality of the solutionobtained with the heuristic, we conduct extensive computational experiments onboth artificial and real-world instances. The artificial instances aregenerated by a parameterized instance generator for the integrated problem thatis made freely available.

Integrated patient-to-room and nurse-to-patient assignment in hospital wards