Nurse–Patient Assignment in Oncology Infusion Centers: A Mixed-Integer Programming Approach to Minimizing Patient Wait Time and Balancing Nurse Workload

Cancer center infusion departments are often challenged with scheduling a large number of patients while having a limited number of nurses available to administer the infusions. Cancer patients have different acuity levels depending on many factors, such as treatment plans, drug side effects, and health status. Thus, several factors need to be considered when assigning patients to nurses, as unbalanced nurse-to-patient assignments affect patient flow and nurse workload. This study introduces a mixed-integer programming model for nurse–patient assignments that minimizes patient wait times while ensuring workload balance among oncology nurses, while addressing the limited attention in existing studies to jointly modeling patient acuity and nurse continuity. The model also explores the effects of maintaining nurse continuity for patients desiring the same nurse throughout their treatments. Because the mixed-integer programming model can become difficult to solve when there are many cancer patients, an alternative nurse–patient assignment heuristic is proposed and evaluated. Numerical examples based on data from a regional cancer center compare the effectiveness and performance of the exact and heuristic methods. The results show that patient wait time and workload variation among nurses increase when there is a stronger requirement to maintain nurse continuity, which could negatively affect both patient and nurse satisfaction. This study provides valuable insights into the nurse–patient assignment problem and helps cancer infusion centers determine the impacts of maintaining different levels of nurse continuity in their settings.