González Maestro, AdriánBrozos Vázquez, MiguelCasas Méndez, BalbinaLópez López, RafaelLópez Rodríguez, RosaReyes Santías, Francisco2024-01-242024-01-242022González-Maestro, A.; Brozos-Vázquez, E.; Casas-Méndez, B.; López-López, R.; López-Rodríguez, R.; Reyes-Santias, F. Effective Optimisation of the Patient Circuits of an Oncology Day Hospital: Mathematical Programming Models and Case Study. Mathematics 2022, 10, 622227-7390http://hdl.handle.net/10347/31958In this paper, we first use the information we have on the patients of an oncology day hospital to distribute the treatment schedules they have in each of the visits to this centre. To do this, we propose a deterministic mathematical programming model in such a way that we minimise the duration of the waiting room stays of the total set of patients and taking into account the restrictions of the circuit. Secondly, we will look for a solution to the same problem under a stochastic approach. This model will explicitly consider the existing uncertainty in terms of the different times involved in the circuit, and this model also allows the reorganisation of the schedules of medical appointments with oncologists. The models are complemented by a tool that solves the problem of assigning nurses to patients. The work is motivated by the particular characteristics of a real hospital and the models are used and compared with data from this case.eng©2021 by the authors. LicenseeMDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution(CCBY) license.http://creativecommons.org/licenses/by/4.0/Treatment schedulesMedical appointment schedulingInteger linear programmingStochastic programmingNurse assignmentCase studyOptimizationjournal article10.3390/math10010062open access