A mathematical optimization model for efficient assignment of inpatients in an oncology center in China

This paper addresses a problem for assignment of chemo-receiving inpatients in an oncology care center, which has not been addressed in the literature. Chemotherapy is regarded as one of the most effective treatments for cancer. In recent years, as cancer incidence increased, the number of patients admitted to a cancer treatment center has also been rising. How to balance the workload of medical service resources by planning admission of patients has become an essential problem that must be given consideration by policy- makers. The allocation of chemotherapy patients, different from that of the routine inpatients, is restrained by treatment agreements of patients and presents periodic features. Therefore, the allocation of chemotherapy patients is much more difficult than that of routine patients. A mixed integer programming (MIP) model was first formulated for this problem in order to maximize the usage of beds. Specific features of chemotherapy, such as chemotherapy protocols, were integrated into this model. The inpatient assignment problem was proved to be non-deterministic polynomial- complete and we propose an exact method to solve it. Numerical experiments on suitable use-case scenarios and a practical Chinese oncology center were performed to test and evaluate this model. The obtained results demonstrated the effectiveness of our method. Some useful managerial implication are provided for policy-makers through the analysis of obtained results. The models and methods suggested here can be effectively applied in similar departments of other countries and regions.