Master chemotherapy planning and clinicians rostering in a hospital outpatient cancer centre

In the past years, the number of patients in need of chemotherapy treatments has been constantly increasing. Chemotherapy treatments must be carefully planned to provide a suitable and timely care. They are often provided within an outpatient setting. Clinicians and nurses staff must face the increasing demand for chemotherapy treatment with limited resources, such as exam rooms, beds, and seats. In this work, we consider a cancer centre shared among different oncologist specialties, as suggested by the Organisation of European Cancer Institutes. We focus on the oncologist visit that each patient must undergo before the drug infusion, to check if the patient’s conditions are compatible with the drug infusion. We consider the problem of planning the weekly assignment of consultation rooms to cancer pathologies, referred to as Master Chemotherapy Planning. Further, we jointly address the problem of selecting a clinician with suitable skills to cover each consultation room in the weekly schedule, given the cliniciansávailability over a month. Several criteria are considered, such as the number of visits in overtime, the amount of met demand and the clinicians’ workload. The problem is formulated as a lexicographic multiobjective optimisation problem and solved using a sequence of MIP models. Further, we propose a rolling horizon approach to tackle a long planning horizon up to one year, aiming also at keeping the changes of weekly plans from one month to the other as small as possible. The models and rolling horizon procedure are tested on real data from an Italian hospital