In most Latin American hospitals, the workload assignment of healthcare workers is a crucial process. These strategies seek to improve the level of patient care and safety while avoiding incurring unnecessary costs by hiring and maintaining excessive staff. The distribution of activities falls to the chief nurses in the hospital, taking as criteria for allocation the number of patients rather than the complexity of care that each individual carries. Specifically for the inpatient area and for nursing professionals, it is complex to determine an adequate distribution of human resources, considering the diagnosis of the patients and the number of tasks that a nursing professional must carry out throughout the day. Therefore, this work proposes the development of a strategy and a load-balancing model based on lean healthcare theory, analytics, and mathematical optimization, so that working hours do not result in the generation of stress and the presence of burnout in nurses. Likewise, mathematical modelling maximizes the use of the nursing staff’s capacity, generating awareness based on the integration of continuous improvement theories so that the clinics can be updated to technological trends. Finally, this project is part of a macro-project for the development of technologies that support hospital nursing processes, carried out by the Universidad de La Sabana Clinic in Colombia and the Universidad de los Andes Clinic in Chile, so the results of this project impact two clinics in Latin America.