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Effective Optimisation of the Patient Circuits of an Oncology Day Hospital: Mathematical Programming Models and Case Study

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  • Adrián González-Maestro

    (Health Research Institute of Santiago de Compostela (IDIS), Complexo Hospitalario Universitario of Santiago de Compostela (SERGAS), 15706 Santiago de Compostela, Spain
    These authors contributed equally to this work.)

  • Elena Brozos-Vázquez

    (Department of Medical Oncology, Hospital Clínico Universitario of Santiago de Compostela, 15706 Santiago de Compostela, Spain
    These authors contributed equally to this work.)

  • Balbina Casas-Méndez

    (Department of Statistics, Mathematical Analysis and Optimization, Universidade of Santiago de Compostela, 15782 Santiago de Compostela, Spain
    These authors contributed equally to this work.)

  • Rafael López-López

    (Health Research Institute of Santiago de Compostela (IDIS), Complexo Hospitalario Universitario of Santiago de Compostela (SERGAS), 15706 Santiago de Compostela, Spain
    Translational Medical Oncology Group (ONCOMET), 15706 Santiago de Compostela, Spain
    These authors contributed equally to this work.)

  • Rosa López-Rodríguez

    (Department of Medical Oncology, Hospital Clínico Universitario of Santiago de Compostela, 15706 Santiago de Compostela, Spain
    These authors contributed equally to this work.)

  • Francisco Reyes-Santias

    (Health Research Institute of Santiago de Compostela (IDIS), Complexo Hospitalario Universitario of Santiago de Compostela (SERGAS), 15706 Santiago de Compostela, Spain
    Department of Business, Universidade of Vigo, 36310 Vigo, Spain
    These authors contributed equally to this work.)

Abstract

In 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.

Suggested Citation

  • Adrián González-Maestro & Elena Brozos-Vázquez & Balbina Casas-Méndez & Rafael López-López & Rosa López-Rodríguez & Francisco Reyes-Santias, 2021. "Effective Optimisation of the Patient Circuits of an Oncology Day Hospital: Mathematical Programming Models and Case Study," Mathematics, MDPI, vol. 10(1), pages 1-31, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2021:i:1:p:62-:d:711099
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    References listed on IDEAS

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    1. Şeyda Gür & Tamer Eren & Hacı Mehmet Alakaş, 2019. "Surgical Operation Scheduling with Goal Programming and Constraint Programming: A Case Study," Mathematics, MDPI, vol. 7(3), pages 1-24, March.
    2. Ahmadi-Javid, Amir & Jalali, Zahra & Klassen, Kenneth J, 2017. "Outpatient appointment systems in healthcare: A review of optimization studies," European Journal of Operational Research, Elsevier, vol. 258(1), pages 3-34.
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